GCD of 676, 264, 986, 974 Calculator

Given Input numbers are 676, 264, 986, 974

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 974 :

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

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (676, 264, 986, 974) = 2.

Given numbers are 676, 264, 986, 974

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 676, 264, 986, 974 is 2.

Given numbers are 676, 264, 986, 974

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

Apply this formula for all numbers.

Step1:

LCM(676, 264) = 44616

GCD(676, 264) = ( 676 x 264 ) / 44616

= 676 / 264

= 676

Step2:

LCM(4, 986) = 1972

GCD(4, 986) = ( 4 x 986 ) / 1972

= 4 / 986

= 4

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 676, 264, 986, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 376, 189, 172
• GCD of 328, 362, 539, 553
• GCD of 251, 515, 148, 401
• GCD of 979, 819, 713, 721
• GCD of 932, 429, 697, 415

Given numbers are 676, 264, 986, 974
The greatest common divisor of numbers 676, 264, 986, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 264, 986, 974 is 2.

1. What is the GCD of 676, 264, 986, 974?

GCD of given numbers 676, 264, 986, 974 is 2

2. How to calculate the greatest common divisor of 676, 264, 986, 974?

We can find the highest common divisor of 676, 264, 986, 974 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 676, 264, 986, 974 i.e 2.

3. How can I use the GCD of 676, 264, 986, 974Calculator?

Out the numbers 676, 264, 986, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.