GCD of 109, 693, 636, 252 Calculator

Given Input numbers are 109, 693, 636, 252

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (109, 693, 636, 252) = 1.

Given numbers are 109, 693, 636, 252

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 109, 693, 636, 252

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

Apply this formula for all numbers.

Step1:

LCM(109, 693) = 75537

GCD(109, 693) = ( 109 x 693 ) / 75537

= 109 / 693

= 109

Step2:

LCM(1, 636) = 636

GCD(1, 636) = ( 1 x 636 ) / 636

= 1 / 636

= 1

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 109, 693, 636, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 518, 757, 189
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• GCD of 523, 537, 209, 930
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• GCD of 785, 533, 417, 696

Given numbers are 109, 693, 636, 252
The greatest common divisor of numbers 109, 693, 636, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 693, 636, 252 is 1.

1. What is the GCD of 109, 693, 636, 252?

GCD of given numbers 109, 693, 636, 252 is 1

2. How to calculate the greatest common divisor of 109, 693, 636, 252?

We can find the highest common divisor of 109, 693, 636, 252 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 109, 693, 636, 252 i.e 1.

3. How can I use the GCD of 109, 693, 636, 252Calculator?

Out the numbers 109, 693, 636, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.