GCD of 900, 780, 902, 896 Calculator

Given Input numbers are 900, 780, 902, 896

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 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 902 :

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

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (900, 780, 902, 896) = 2.

Given numbers are 900, 780, 902, 896

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 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 902 are 2 x 11 x 41

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 900, 780, 902, 896 is 2.

Given numbers are 900, 780, 902, 896

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

Apply this formula for all numbers.

Step1:

LCM(900, 780) = 11700

GCD(900, 780) = ( 900 x 780 ) / 11700

= 900 / 780

= 900

Step2:

LCM(60, 902) = 27060

GCD(60, 902) = ( 60 x 902 ) / 27060

= 60 / 902

= 60

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 900, 780, 902, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 546, 962, 895, 806
• GCD of 794, 500, 759, 126
• GCD of 470, 606, 657, 629
• GCD of 726, 423, 746, 559
• GCD of 331, 250, 959, 540

Given numbers are 900, 780, 902, 896
The greatest common divisor of numbers 900, 780, 902, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 780, 902, 896 is 2.

1. What is the GCD of 900, 780, 902, 896?

GCD of given numbers 900, 780, 902, 896 is 2

2. How to calculate the greatest common divisor of 900, 780, 902, 896?

We can find the highest common divisor of 900, 780, 902, 896 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, 780, 902, 896 i.e 2.

3. How can I use the GCD of 900, 780, 902, 896Calculator?

Out the numbers 900, 780, 902, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.