GCD of 909, 772, 138, 315 Calculator

Given Input numbers are 909, 772, 138, 315

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

GCD of numbers is the greatest common divisor

So, the GCD (909, 772, 138, 315) = 1.

Given numbers are 909, 772, 138, 315

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 772 are 2 x 2 x 193

Prime factors of 138 are 2 x 3 x 23

Prime factors of 315 are 3 x 3 x 5 x 7

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

Given numbers are 909, 772, 138, 315

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

Apply this formula for all numbers.

Step1:

LCM(909, 772) = 701748

GCD(909, 772) = ( 909 x 772 ) / 701748

= 909 / 772

= 909

Step2:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

Step3:

LCM(1, 315) = 315

GCD(1, 315) = ( 1 x 315 ) / 315

= 1 / 315

= 1

So, Greatest Common Divisor of 909, 772, 138, 315 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 789, 222, 413
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Given numbers are 909, 772, 138, 315
The greatest common divisor of numbers 909, 772, 138, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 772, 138, 315 is 1.

1. What is the GCD of 909, 772, 138, 315?

GCD of given numbers 909, 772, 138, 315 is 1

2. How to calculate the greatest common divisor of 909, 772, 138, 315?

We can find the highest common divisor of 909, 772, 138, 315 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 909, 772, 138, 315 i.e 1.

3. How can I use the GCD of 909, 772, 138, 315Calculator?

Out the numbers 909, 772, 138, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.