GCD of 716, 714, 564, 420 Calculator

Given Input numbers are 716, 714, 564, 420

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

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 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (716, 714, 564, 420) = 2.

Given numbers are 716, 714, 564, 420

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 716, 714, 564, 420 is 2.

Given numbers are 716, 714, 564, 420

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

Apply this formula for all numbers.

Step1:

LCM(716, 714) = 255612

GCD(716, 714) = ( 716 x 714 ) / 255612

= 716 / 714

= 716

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

So, Greatest Common Divisor of 716, 714, 564, 420 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 485, 245, 735, 135
• GCD of 159, 229, 994, 285
• GCD of 565, 945, 270, 146
• GCD of 906, 918, 637, 865
• GCD of 284, 306, 502, 170

Given numbers are 716, 714, 564, 420
The greatest common divisor of numbers 716, 714, 564, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 714, 564, 420 is 2.

1. What is the GCD of 716, 714, 564, 420?

GCD of given numbers 716, 714, 564, 420 is 2

2. How to calculate the greatest common divisor of 716, 714, 564, 420?

We can find the highest common divisor of 716, 714, 564, 420 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 716, 714, 564, 420 i.e 2.

3. How can I use the GCD of 716, 714, 564, 420Calculator?

Out the numbers 716, 714, 564, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.