GCD of 689, 564, 956, 916 Calculator

Given Input numbers are 689, 564, 956, 916

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

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (689, 564, 956, 916) = 1.

Given numbers are 689, 564, 956, 916

The list of prime factors of all numbers are

Prime factors of 689 are 13 x 53

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 956 are 2 x 2 x 239

Prime factors of 916 are 2 x 2 x 229

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

Given numbers are 689, 564, 956, 916

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

Apply this formula for all numbers.

Step1:

LCM(689, 564) = 388596

GCD(689, 564) = ( 689 x 564 ) / 388596

= 689 / 564

= 689

Step2:

LCM(1, 956) = 956

GCD(1, 956) = ( 1 x 956 ) / 956

= 1 / 956

= 1

Step3:

LCM(1, 916) = 916

GCD(1, 916) = ( 1 x 916 ) / 916

= 1 / 916

= 1

So, Greatest Common Divisor of 689, 564, 956, 916 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 594, 766, 904, 101
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Given numbers are 689, 564, 956, 916
The greatest common divisor of numbers 689, 564, 956, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 689, 564, 956, 916 is 1.

1. What is the GCD of 689, 564, 956, 916?

GCD of given numbers 689, 564, 956, 916 is 1

2. How to calculate the greatest common divisor of 689, 564, 956, 916?

We can find the highest common divisor of 689, 564, 956, 916 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 689, 564, 956, 916 i.e 1.

3. How can I use the GCD of 689, 564, 956, 916Calculator?

Out the numbers 689, 564, 956, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.