GCD of 235 and 875
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You have reached us maybe looking for answers to the questions like: GCD of 235 and 875 or what is the highest common factor (HCF) of 235 and 875?
What is the GCF of 235 and 875?
The first step to find the gcf of 235 and 875 is to list the factors of each number. The factors of 235 are 1, 5, 47 and 235. The factors of 875 are 1, 5, 7, 25, 35, 125, 175 and 875. So, the Greatest Common Factor for these numbers is 5 because it divides all them without a remainder. Read more about Common Factors below.
How to find the Greatest Common Factor
The first step is to find all divisors of each number. For instance, let us find the gcf(235,875).
In this case we have:
- The factors of 235 (all the whole numbers that can divide the number without a remainder) are 1, 5, 47 and 235;
- The factors of 875 are 1, 5, 7, 25, 35, 125, 175 and 875.
The second step is to analyze which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 235 and 875 is 5. The GCF is the largest common positive integer that divides all the numbers (235,875) without a remainder.
The GCF is also known as:
- Greatest common divisor (gcd);
- Highest common factor (hcf);
- Greatest common measure (gcm), or
- Highest common divisor