GCD of 355, 484, 980, 749 Calculator

Given Input numbers are 355, 484, 980, 749

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (355, 484, 980, 749) = 1.

Given numbers are 355, 484, 980, 749

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 484 are 2 x 2 x 11 x 11

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

Prime factors of 749 are 7 x 107

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

Given numbers are 355, 484, 980, 749

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

Apply this formula for all numbers.

Step1:

LCM(355, 484) = 171820

GCD(355, 484) = ( 355 x 484 ) / 171820

= 355 / 484

= 355

Step2:

LCM(1, 980) = 980

GCD(1, 980) = ( 1 x 980 ) / 980

= 1 / 980

= 1

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 355, 484, 980, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 876, 950, 968, 512
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Given numbers are 355, 484, 980, 749
The greatest common divisor of numbers 355, 484, 980, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 484, 980, 749 is 1.

1. What is the GCD of 355, 484, 980, 749?

GCD of given numbers 355, 484, 980, 749 is 1

2. How to calculate the greatest common divisor of 355, 484, 980, 749?

We can find the highest common divisor of 355, 484, 980, 749 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 355, 484, 980, 749 i.e 1.

3. How can I use the GCD of 355, 484, 980, 749Calculator?

Out the numbers 355, 484, 980, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.