GCD of 150, 980, 780, 916 Calculator

Given Input numbers are 150, 980, 780, 916

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

Divisors of 150 :

The positive integer divisors of 150 that completely divides 150 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

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 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

GCD of numbers is the greatest common divisor

So, the GCD (150, 980, 780, 916) = 2.

Given numbers are 150, 980, 780, 916

The list of prime factors of all numbers are

Prime factors of 150 are 2 x 3 x 5 x 5

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 150, 980, 780, 916 is 2.

Given numbers are 150, 980, 780, 916

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

Apply this formula for all numbers.

Step1:

LCM(150, 980) = 14700

GCD(150, 980) = ( 150 x 980 ) / 14700

= 150 / 980

= 150

Step2:

LCM(10, 780) = 780

GCD(10, 780) = ( 10 x 780 ) / 780

= 10 / 780

= 10

Step3:

LCM(10, 916) = 4580

GCD(10, 916) = ( 10 x 916 ) / 4580

= 10 / 916

= 10

So, Greatest Common Divisor of 150, 980, 780, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 114, 779, 129, 393
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Given numbers are 150, 980, 780, 916
The greatest common divisor of numbers 150, 980, 780, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 980, 780, 916 is 2.

1. What is the GCD of 150, 980, 780, 916?

GCD of given numbers 150, 980, 780, 916 is 2

2. How to calculate the greatest common divisor of 150, 980, 780, 916?

We can find the highest common divisor of 150, 980, 780, 916 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 150, 980, 780, 916 i.e 2.

3. How can I use the GCD of 150, 980, 780, 916Calculator?

Out the numbers 150, 980, 780, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.