GCD of 892, 676, 972, 702 Calculator

Given Input numbers are 892, 676, 972, 702

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

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

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 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (892, 676, 972, 702) = 2.

Given numbers are 892, 676, 972, 702

The list of prime factors of all numbers are

Prime factors of 892 are 2 x 2 x 223

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

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 892, 676, 972, 702 is 2.

Given numbers are 892, 676, 972, 702

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

Apply this formula for all numbers.

Step1:

LCM(892, 676) = 150748

GCD(892, 676) = ( 892 x 676 ) / 150748

= 892 / 676

= 892

Step2:

LCM(4, 972) = 972

GCD(4, 972) = ( 4 x 972 ) / 972

= 4 / 972

= 4

Step3:

LCM(4, 702) = 1404

GCD(4, 702) = ( 4 x 702 ) / 1404

= 4 / 702

= 4

So, Greatest Common Divisor of 892, 676, 972, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 905, 444, 653
• GCD of 110, 607, 805, 948
• GCD of 942, 142, 462, 715
• GCD of 216, 760, 821, 724
• GCD of 297, 865, 542, 358

Given numbers are 892, 676, 972, 702
The greatest common divisor of numbers 892, 676, 972, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 892, 676, 972, 702 is 2.

1. What is the GCD of 892, 676, 972, 702?

GCD of given numbers 892, 676, 972, 702 is 2

2. How to calculate the greatest common divisor of 892, 676, 972, 702?

We can find the highest common divisor of 892, 676, 972, 702 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 892, 676, 972, 702 i.e 2.

3. How can I use the GCD of 892, 676, 972, 702Calculator?

Out the numbers 892, 676, 972, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.