GCD of 710, 754, 972, 816 Calculator

Given Input numbers are 710, 754, 972, 816

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

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 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

GCD of numbers is the greatest common divisor

So, the GCD (710, 754, 972, 816) = 2.

Given numbers are 710, 754, 972, 816

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 754 are 2 x 13 x 29

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

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

The highest common occurrence is 2¹

Therefore, GCD of 710, 754, 972, 816 is 2.

Given numbers are 710, 754, 972, 816

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

Apply this formula for all numbers.

Step1:

LCM(710, 754) = 267670

GCD(710, 754) = ( 710 x 754 ) / 267670

= 710 / 754

= 710

Step2:

LCM(2, 972) = 972

GCD(2, 972) = ( 2 x 972 ) / 972

= 2 / 972

= 2

Step3:

LCM(2, 816) = 816

GCD(2, 816) = ( 2 x 816 ) / 816

= 2 / 816

= 2

So, Greatest Common Divisor of 710, 754, 972, 816 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 720, 286, 774
• GCD of 553, 177, 386, 372
• GCD of 680, 527, 671, 963
• GCD of 759, 713, 117, 736
• GCD of 135, 121, 905, 849

Given numbers are 710, 754, 972, 816
The greatest common divisor of numbers 710, 754, 972, 816 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 754, 972, 816 is 2.

1. What is the GCD of 710, 754, 972, 816?

GCD of given numbers 710, 754, 972, 816 is 2

2. How to calculate the greatest common divisor of 710, 754, 972, 816?

We can find the highest common divisor of 710, 754, 972, 816 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 710, 754, 972, 816 i.e 2.

3. How can I use the GCD of 710, 754, 972, 816Calculator?

Out the numbers 710, 754, 972, 816 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.