GCD of 716, 902, 120, 500 Calculator

Given Input numbers are 716, 902, 120, 500

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 902 :

The positive integer divisors of 902 that completely divides 902 are.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

GCD of numbers is the greatest common divisor

So, the GCD (716, 902, 120, 500) = 2.

Given numbers are 716, 902, 120, 500

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 902 are 2 x 11 x 41

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 716, 902, 120, 500 is 2.

Given numbers are 716, 902, 120, 500

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

Apply this formula for all numbers.

Step1:

LCM(716, 902) = 322916

GCD(716, 902) = ( 716 x 902 ) / 322916

= 716 / 902

= 716

Step2:

LCM(2, 120) = 120

GCD(2, 120) = ( 2 x 120 ) / 120

= 2 / 120

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 716, 902, 120, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 490, 526, 429, 342
• GCD of 578, 762, 105, 240
• GCD of 921, 266, 553, 493
• GCD of 859, 524, 421, 384
• GCD of 422, 116, 881, 162

Given numbers are 716, 902, 120, 500
The greatest common divisor of numbers 716, 902, 120, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 902, 120, 500 is 2.

1. What is the GCD of 716, 902, 120, 500?

GCD of given numbers 716, 902, 120, 500 is 2

2. How to calculate the greatest common divisor of 716, 902, 120, 500?

We can find the highest common divisor of 716, 902, 120, 500 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, 902, 120, 500 i.e 2.

3. How can I use the GCD of 716, 902, 120, 500Calculator?

Out the numbers 716, 902, 120, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.