GCD of 980, 742, 595 Calculator

Given Input numbers are 980, 742, 595

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 595 :

The positive integer divisors of 595 that completely divides 595 are.

1, 5, 7, 17, 35, 85, 119, 595

GCD of numbers is the greatest common divisor

So, the GCD (980, 742, 595) = 7.

Given numbers are 980, 742, 595

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 742 are 2 x 7 x 53

Prime factors of 595 are 5 x 7 x 17

The highest common occurrence is 7¹

Therefore, GCD of 980, 742, 595 is 7.

Given numbers are 980, 742, 595

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

Apply this formula for all numbers.

Step1:

LCM(980, 742) = 51940

GCD(980, 742) = ( 980 x 742 ) / 51940

= 980 / 742

= 980

Step2:

LCM(14, 595) = 1190

GCD(14, 595) = ( 14 x 595 ) / 1190

= 14 / 595

= 14

So, Greatest Common Divisor of 980, 742, 595 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 214, 573, 653
• GCD of 144, 248, 516
• GCD of 316, 358, 397
• GCD of 924, 836, 935
• GCD of 400, 634, 992

Given numbers are 980, 742, 595
The greatest common divisor of numbers 980, 742, 595 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 742, 595 is 7.

1. What is the GCD of 980, 742, 595?

GCD of given numbers 980, 742, 595 is 7

2. How to calculate the greatest common divisor of 980, 742, 595?

We can find the highest common divisor of 980, 742, 595 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, 742, 595 i.e 7.

3. How can I use the GCD of 980, 742, 595Calculator?

Out the numbers 980, 742, 595 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.