GCD of 716, 588, 540, 984 Calculator

Given Input numbers are 716, 588, 540, 984

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 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 540 :

The positive integer divisors of 540 that completely divides 540 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (716, 588, 540, 984) = 4.

Given numbers are 716, 588, 540, 984

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

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

Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2²

Therefore, GCD of 716, 588, 540, 984 is 4.

Given numbers are 716, 588, 540, 984

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

Apply this formula for all numbers.

Step1:

LCM(716, 588) = 105252

GCD(716, 588) = ( 716 x 588 ) / 105252

= 716 / 588

= 716

Step2:

LCM(4, 540) = 540

GCD(4, 540) = ( 4 x 540 ) / 540

= 4 / 540

= 4

Step3:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

So, Greatest Common Divisor of 716, 588, 540, 984 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 304, 504, 118, 889
• GCD of 795, 813, 926, 715
• GCD of 555, 977, 921, 887
• GCD of 127, 910, 977, 405
• GCD of 789, 492, 730, 149

Given numbers are 716, 588, 540, 984
The greatest common divisor of numbers 716, 588, 540, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 588, 540, 984 is 4.

1. What is the GCD of 716, 588, 540, 984?

GCD of given numbers 716, 588, 540, 984 is 4

2. How to calculate the greatest common divisor of 716, 588, 540, 984?

We can find the highest common divisor of 716, 588, 540, 984 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, 588, 540, 984 i.e 4.

3. How can I use the GCD of 716, 588, 540, 984Calculator?

Out the numbers 716, 588, 540, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.