GCD of 714, 588, 777, 924 Calculator

Given Input numbers are 714, 588, 777, 924

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (714, 588, 777, 924) = 21.

Given numbers are 714, 588, 777, 924

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 777 are 3 x 7 x 37

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 3¹ x 7¹

Therefore, GCD of 714, 588, 777, 924 is 21.

Given numbers are 714, 588, 777, 924

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

Apply this formula for all numbers.

Step1:

LCM(714, 588) = 9996

GCD(714, 588) = ( 714 x 588 ) / 9996

= 714 / 588

= 714

Step2:

LCM(42, 777) = 1554

GCD(42, 777) = ( 42 x 777 ) / 1554

= 42 / 777

= 42

Step3:

LCM(21, 924) = 924

GCD(21, 924) = ( 21 x 924 ) / 924

= 21 / 924

= 21

So, Greatest Common Divisor of 714, 588, 777, 924 is 21

Here are some samples of GCD of Numbers calculations.

• GCD of 499, 191, 846, 959
• GCD of 208, 196, 417, 592
• GCD of 185, 935, 713, 480
• GCD of 811, 943, 893, 613
• GCD of 353, 129, 296, 787

Given numbers are 714, 588, 777, 924
The greatest common divisor of numbers 714, 588, 777, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 588, 777, 924 is 21.

1. What is the GCD of 714, 588, 777, 924?

GCD of given numbers 714, 588, 777, 924 is 21

2. How to calculate the greatest common divisor of 714, 588, 777, 924?

We can find the highest common divisor of 714, 588, 777, 924 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 714, 588, 777, 924 i.e 21.

3. How can I use the GCD of 714, 588, 777, 924Calculator?

Out the numbers 714, 588, 777, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.