GCD of 364, 610, 738, 980 Calculator

Given Input numbers are 364, 610, 738, 980

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

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

GCD of numbers is the greatest common divisor

So, the GCD (364, 610, 738, 980) = 2.

Given numbers are 364, 610, 738, 980

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 610 are 2 x 5 x 61

Prime factors of 738 are 2 x 3 x 3 x 41

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

The highest common occurrence is 2¹

Therefore, GCD of 364, 610, 738, 980 is 2.

Given numbers are 364, 610, 738, 980

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

Apply this formula for all numbers.

Step1:

LCM(364, 610) = 111020

GCD(364, 610) = ( 364 x 610 ) / 111020

= 364 / 610

= 364

Step2:

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

= 2 / 738

= 2

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 364, 610, 738, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 703, 323, 371, 502
• GCD of 602, 393, 680, 910
• GCD of 841, 851, 902, 340
• GCD of 478, 312, 209, 674
• GCD of 671, 893, 162, 529

Given numbers are 364, 610, 738, 980
The greatest common divisor of numbers 364, 610, 738, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 610, 738, 980 is 2.

1. What is the GCD of 364, 610, 738, 980?

GCD of given numbers 364, 610, 738, 980 is 2

2. How to calculate the greatest common divisor of 364, 610, 738, 980?

We can find the highest common divisor of 364, 610, 738, 980 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 364, 610, 738, 980 i.e 2.

3. How can I use the GCD of 364, 610, 738, 980Calculator?

Out the numbers 364, 610, 738, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.