GCD of 854, 108, 756, 965 Calculator

Given Input numbers are 854, 108, 756, 965

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

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 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (854, 108, 756, 965) = 1.

Given numbers are 854, 108, 756, 965

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

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

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 965 are 5 x 193

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

Given numbers are 854, 108, 756, 965

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

Apply this formula for all numbers.

Step1:

LCM(854, 108) = 46116

GCD(854, 108) = ( 854 x 108 ) / 46116

= 854 / 108

= 854

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2

So, Greatest Common Divisor of 854, 108, 756, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 205, 807, 504, 251
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Given numbers are 854, 108, 756, 965
The greatest common divisor of numbers 854, 108, 756, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 108, 756, 965 is 1.

1. What is the GCD of 854, 108, 756, 965?

GCD of given numbers 854, 108, 756, 965 is 1

2. How to calculate the greatest common divisor of 854, 108, 756, 965?

We can find the highest common divisor of 854, 108, 756, 965 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 854, 108, 756, 965 i.e 1.

3. How can I use the GCD of 854, 108, 756, 965Calculator?

Out the numbers 854, 108, 756, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.