GCD of 968, 100, 646, 966 Calculator

Given Input numbers are 968, 100, 646, 966

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

Divisors of 968 :

The positive integer divisors of 968 that completely divides 968 are.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (968, 100, 646, 966) = 2.

Given numbers are 968, 100, 646, 966

The list of prime factors of all numbers are

Prime factors of 968 are 2 x 2 x 2 x 11 x 11

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 646 are 2 x 17 x 19

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 968, 100, 646, 966 is 2.

Given numbers are 968, 100, 646, 966

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

Apply this formula for all numbers.

Step1:

LCM(968, 100) = 24200

GCD(968, 100) = ( 968 x 100 ) / 24200

= 968 / 100

= 968

Step2:

LCM(4, 646) = 1292

GCD(4, 646) = ( 4 x 646 ) / 1292

= 4 / 646

= 4

Step3:

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

= 2 / 966

= 2

So, Greatest Common Divisor of 968, 100, 646, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 398, 500, 504
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• GCD of 755, 634, 773, 983
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• GCD of 928, 542, 497, 577

Given numbers are 968, 100, 646, 966
The greatest common divisor of numbers 968, 100, 646, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 968, 100, 646, 966 is 2.

1. What is the GCD of 968, 100, 646, 966?

GCD of given numbers 968, 100, 646, 966 is 2

2. How to calculate the greatest common divisor of 968, 100, 646, 966?

We can find the highest common divisor of 968, 100, 646, 966 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 968, 100, 646, 966 i.e 2.

3. How can I use the GCD of 968, 100, 646, 966Calculator?

Out the numbers 968, 100, 646, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.