GCD of 909, 742, 108, 953 Calculator

Given Input numbers are 909, 742, 108, 953

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (909, 742, 108, 953) = 1.

Given numbers are 909, 742, 108, 953

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 742 are 2 x 7 x 53

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 953 are 953

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

Given numbers are 909, 742, 108, 953

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

Apply this formula for all numbers.

Step1:

LCM(909, 742) = 674478

GCD(909, 742) = ( 909 x 742 ) / 674478

= 909 / 742

= 909

Step2:

LCM(1, 108) = 108

GCD(1, 108) = ( 1 x 108 ) / 108

= 1 / 108

= 1

Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1

So, Greatest Common Divisor of 909, 742, 108, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 988, 874, 856
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Given numbers are 909, 742, 108, 953
The greatest common divisor of numbers 909, 742, 108, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 742, 108, 953 is 1.

1. What is the GCD of 909, 742, 108, 953?

GCD of given numbers 909, 742, 108, 953 is 1

2. How to calculate the greatest common divisor of 909, 742, 108, 953?

We can find the highest common divisor of 909, 742, 108, 953 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, 742, 108, 953 i.e 1.

3. How can I use the GCD of 909, 742, 108, 953Calculator?

Out the numbers 909, 742, 108, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.