GCD of 302, 272, 748, 980 Calculator

Given Input numbers are 302, 272, 748, 980

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

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 (302, 272, 748, 980) = 2.

Given numbers are 302, 272, 748, 980

The list of prime factors of all numbers are

Prime factors of 302 are 2 x 151

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 302, 272, 748, 980 is 2.

Given numbers are 302, 272, 748, 980

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

Apply this formula for all numbers.

Step1:

LCM(302, 272) = 41072

GCD(302, 272) = ( 302 x 272 ) / 41072

= 302 / 272

= 302

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 980) = 980

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

= 2 / 980

= 2

So, Greatest Common Divisor of 302, 272, 748, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 833, 212, 240, 328
• GCD of 487, 383, 403, 718
• GCD of 594, 393, 731, 887
• GCD of 733, 557, 186, 353
• GCD of 399, 898, 909, 590

Given numbers are 302, 272, 748, 980
The greatest common divisor of numbers 302, 272, 748, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 302, 272, 748, 980 is 2.

1. What is the GCD of 302, 272, 748, 980?

GCD of given numbers 302, 272, 748, 980 is 2

2. How to calculate the greatest common divisor of 302, 272, 748, 980?

We can find the highest common divisor of 302, 272, 748, 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 302, 272, 748, 980 i.e 2.

3. How can I use the GCD of 302, 272, 748, 980Calculator?

Out the numbers 302, 272, 748, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.