GCD of 900, 708, 988, 640 Calculator

Given Input numbers are 900, 708, 988, 640

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 640 :

The positive integer divisors of 640 that completely divides 640 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

GCD of numbers is the greatest common divisor

So, the GCD (900, 708, 988, 640) = 4.

Given numbers are 900, 708, 988, 640

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2²

Therefore, GCD of 900, 708, 988, 640 is 4.

Given numbers are 900, 708, 988, 640

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

Apply this formula for all numbers.

Step1:

LCM(900, 708) = 53100

GCD(900, 708) = ( 900 x 708 ) / 53100

= 900 / 708

= 900

Step2:

LCM(12, 988) = 2964

GCD(12, 988) = ( 12 x 988 ) / 2964

= 12 / 988

= 12

Step3:

LCM(4, 640) = 640

GCD(4, 640) = ( 4 x 640 ) / 640

= 4 / 640

= 4

So, Greatest Common Divisor of 900, 708, 988, 640 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 977, 591, 956, 125
• GCD of 613, 470, 705, 829
• GCD of 490, 290, 763, 307
• GCD of 984, 370, 494, 637
• GCD of 348, 877, 650, 886

Given numbers are 900, 708, 988, 640
The greatest common divisor of numbers 900, 708, 988, 640 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 708, 988, 640 is 4.

1. What is the GCD of 900, 708, 988, 640?

GCD of given numbers 900, 708, 988, 640 is 4

2. How to calculate the greatest common divisor of 900, 708, 988, 640?

We can find the highest common divisor of 900, 708, 988, 640 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 900, 708, 988, 640 i.e 4.

3. How can I use the GCD of 900, 708, 988, 640Calculator?

Out the numbers 900, 708, 988, 640 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.