GCD of 917, 980, 144, 253 Calculator

Given Input numbers are 917, 980, 144, 253

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

Divisors of 917 :

The positive integer divisors of 917 that completely divides 917 are.

1, 7, 131, 917

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 253 :

The positive integer divisors of 253 that completely divides 253 are.

1, 11, 23, 253

GCD of numbers is the greatest common divisor

So, the GCD (917, 980, 144, 253) = 1.

Given numbers are 917, 980, 144, 253

The list of prime factors of all numbers are

Prime factors of 917 are 7 x 131

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 253 are 11 x 23

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 917, 980, 144, 253

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

Apply this formula for all numbers.

Step1:

LCM(917, 980) = 128380

GCD(917, 980) = ( 917 x 980 ) / 128380

= 917 / 980

= 917

Step2:

LCM(7, 144) = 1008

GCD(7, 144) = ( 7 x 144 ) / 1008

= 7 / 144

= 7

Step3:

LCM(1, 253) = 253

GCD(1, 253) = ( 1 x 253 ) / 253

= 1 / 253

= 1

So, Greatest Common Divisor of 917, 980, 144, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 960, 594, 417, 316
• GCD of 105, 914, 530, 360
• GCD of 418, 652, 206, 817
• GCD of 534, 580, 871, 475
• GCD of 978, 899, 913, 172

Given numbers are 917, 980, 144, 253
The greatest common divisor of numbers 917, 980, 144, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 917, 980, 144, 253 is 1.

1. What is the GCD of 917, 980, 144, 253?

GCD of given numbers 917, 980, 144, 253 is 1

2. How to calculate the greatest common divisor of 917, 980, 144, 253?

We can find the highest common divisor of 917, 980, 144, 253 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 917, 980, 144, 253 i.e 1.

3. How can I use the GCD of 917, 980, 144, 253Calculator?

Out the numbers 917, 980, 144, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.