GCD of 994, 974, 672, 676 Calculator

Given Input numbers are 994, 974, 672, 676

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

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 974 :

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

1, 2, 487, 974

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (994, 974, 672, 676) = 2.

Given numbers are 994, 974, 672, 676

The list of prime factors of all numbers are

Prime factors of 994 are 2 x 7 x 71

Prime factors of 974 are 2 x 487

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 994, 974, 672, 676 is 2.

Given numbers are 994, 974, 672, 676

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

Apply this formula for all numbers.

Step1:

LCM(994, 974) = 484078

GCD(994, 974) = ( 994 x 974 ) / 484078

= 994 / 974

= 994

Step2:

LCM(2, 672) = 672

GCD(2, 672) = ( 2 x 672 ) / 672

= 2 / 672

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 994, 974, 672, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 943, 166, 242, 959
• GCD of 370, 520, 858, 154
• GCD of 448, 828, 792, 417
• GCD of 824, 772, 899, 131
• GCD of 308, 110, 294, 678

Given numbers are 994, 974, 672, 676
The greatest common divisor of numbers 994, 974, 672, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 994, 974, 672, 676 is 2.

1. What is the GCD of 994, 974, 672, 676?

GCD of given numbers 994, 974, 672, 676 is 2

2. How to calculate the greatest common divisor of 994, 974, 672, 676?

We can find the highest common divisor of 994, 974, 672, 676 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 994, 974, 672, 676 i.e 2.

3. How can I use the GCD of 994, 974, 672, 676Calculator?

Out the numbers 994, 974, 672, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.