GCD of 980, 248, 422, 916 Calculator

Given Input numbers are 980, 248, 422, 916

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

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 248 :

The positive integer divisors of 248 that completely divides 248 are.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 (980, 248, 422, 916) = 2.

Given numbers are 980, 248, 422, 916

The list of prime factors of all numbers are

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

Prime factors of 248 are 2 x 2 x 2 x 31

Prime factors of 422 are 2 x 211

Prime factors of 916 are 2 x 2 x 229

The highest common occurrence is 2¹

Therefore, GCD of 980, 248, 422, 916 is 2.

Given numbers are 980, 248, 422, 916

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

Apply this formula for all numbers.

Step1:

LCM(980, 248) = 60760

GCD(980, 248) = ( 980 x 248 ) / 60760

= 980 / 248

= 980

Step2:

LCM(4, 422) = 844

GCD(4, 422) = ( 4 x 422 ) / 844

= 4 / 422

= 4

Step3:

LCM(2, 916) = 916

GCD(2, 916) = ( 2 x 916 ) / 916

= 2 / 916

= 2

So, Greatest Common Divisor of 980, 248, 422, 916 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 805, 921, 435
• GCD of 198, 258, 660, 299
• GCD of 841, 996, 321, 424
• GCD of 536, 528, 787, 225
• GCD of 909, 456, 990, 754

Given numbers are 980, 248, 422, 916
The greatest common divisor of numbers 980, 248, 422, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 248, 422, 916 is 2.

1. What is the GCD of 980, 248, 422, 916?

GCD of given numbers 980, 248, 422, 916 is 2

2. How to calculate the greatest common divisor of 980, 248, 422, 916?

We can find the highest common divisor of 980, 248, 422, 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 980, 248, 422, 916 i.e 2.

3. How can I use the GCD of 980, 248, 422, 916Calculator?

Out the numbers 980, 248, 422, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.