GCD of 707, 616, 231 Calculator

Given Input numbers are 707, 616, 231

In the factoring method, we have to find the divisors of all numbers

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

GCD of numbers is the greatest common divisor

So, the GCD (707, 616, 231) = 7.

Given numbers are 707, 616, 231

The list of prime factors of all numbers are

Prime factors of 707 are 7 x 101

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 231 are 3 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 707, 616, 231 is 7.

Given numbers are 707, 616, 231

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(707, 616) = 62216

GCD(707, 616) = ( 707 x 616 ) / 62216

= 707 / 616

= 707

Step2:

LCM(7, 231) = 231

GCD(7, 231) = ( 7 x 231 ) / 231

= 7 / 231

= 7

So, Greatest Common Divisor of 707, 616, 231 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 601, 634
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Given numbers are 707, 616, 231
The greatest common divisor of numbers 707, 616, 231 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 707, 616, 231 is 7.

1. What is the GCD of 707, 616, 231?

GCD of given numbers 707, 616, 231 is 7

2. How to calculate the greatest common divisor of 707, 616, 231?

We can find the highest common divisor of 707, 616, 231 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 707, 616, 231 i.e 7.

3. How can I use the GCD of 707, 616, 231Calculator?

Out the numbers 707, 616, 231 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.