GCD of 974, 100, 264, 646 Calculator

Given Input numbers are 974, 100, 264, 646

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

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

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 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 646 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (974, 100, 264, 646) = 2.

Given numbers are 974, 100, 264, 646

The list of prime factors of all numbers are

Prime factors of 974 are 2 x 487

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

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 646 are 2 x 17 x 19

The highest common occurrence is 2¹

Therefore, GCD of 974, 100, 264, 646 is 2.

Given numbers are 974, 100, 264, 646

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

Apply this formula for all numbers.

Step1:

LCM(974, 100) = 48700

GCD(974, 100) = ( 974 x 100 ) / 48700

= 974 / 100

= 974

Step2:

LCM(2, 264) = 264

GCD(2, 264) = ( 2 x 264 ) / 264

= 2 / 264

= 2

Step3:

LCM(2, 646) = 646

GCD(2, 646) = ( 2 x 646 ) / 646

= 2 / 646

= 2

So, Greatest Common Divisor of 974, 100, 264, 646 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 120, 615, 144, 566
• GCD of 219, 551, 356, 763
• GCD of 412, 425, 351, 845
• GCD of 484, 109, 246, 416
• GCD of 342, 548, 275, 165

Given numbers are 974, 100, 264, 646
The greatest common divisor of numbers 974, 100, 264, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 100, 264, 646 is 2.

1. What is the GCD of 974, 100, 264, 646?

GCD of given numbers 974, 100, 264, 646 is 2

2. How to calculate the greatest common divisor of 974, 100, 264, 646?

We can find the highest common divisor of 974, 100, 264, 646 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 974, 100, 264, 646 i.e 2.

3. How can I use the GCD of 974, 100, 264, 646Calculator?

Out the numbers 974, 100, 264, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.