GCD of 989, 725, 920, 253 Calculator

Given Input numbers are 989, 725, 920, 253

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

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

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 (989, 725, 920, 253) = 1.

Given numbers are 989, 725, 920, 253

The list of prime factors of all numbers are

Prime factors of 989 are 23 x 43

Prime factors of 725 are 5 x 5 x 29

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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 989, 725, 920, 253

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

Apply this formula for all numbers.

Step1:

LCM(989, 725) = 717025

GCD(989, 725) = ( 989 x 725 ) / 717025

= 989 / 725

= 989

Step2:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

Step3:

LCM(1, 253) = 253

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

= 1 / 253

= 1

So, Greatest Common Divisor of 989, 725, 920, 253 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 786, 980, 341
• GCD of 337, 925, 123, 604
• GCD of 369, 560, 215, 546
• GCD of 861, 298, 271, 370
• GCD of 680, 776, 206, 317

Given numbers are 989, 725, 920, 253
The greatest common divisor of numbers 989, 725, 920, 253 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 725, 920, 253 is 1.

1. What is the GCD of 989, 725, 920, 253?

GCD of given numbers 989, 725, 920, 253 is 1

2. How to calculate the greatest common divisor of 989, 725, 920, 253?

We can find the highest common divisor of 989, 725, 920, 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 989, 725, 920, 253 i.e 1.

3. How can I use the GCD of 989, 725, 920, 253Calculator?

Out the numbers 989, 725, 920, 253 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.