GCD of 272, 980, 396, 898 Calculator

Given Input numbers are 272, 980, 396, 898

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

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 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 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (272, 980, 396, 898) = 2.

Given numbers are 272, 980, 396, 898

The list of prime factors of all numbers are

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

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

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 272, 980, 396, 898 is 2.

Given numbers are 272, 980, 396, 898

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

Apply this formula for all numbers.

Step1:

LCM(272, 980) = 66640

GCD(272, 980) = ( 272 x 980 ) / 66640

= 272 / 980

= 272

Step2:

LCM(4, 396) = 396

GCD(4, 396) = ( 4 x 396 ) / 396

= 4 / 396

= 4

Step3:

LCM(4, 898) = 1796

GCD(4, 898) = ( 4 x 898 ) / 1796

= 4 / 898

= 4

So, Greatest Common Divisor of 272, 980, 396, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 252, 608, 594
• GCD of 538, 321, 303, 466
• GCD of 791, 574, 794, 924
• GCD of 170, 142, 212, 432
• GCD of 943, 956, 584, 650

Given numbers are 272, 980, 396, 898
The greatest common divisor of numbers 272, 980, 396, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 980, 396, 898 is 2.

1. What is the GCD of 272, 980, 396, 898?

GCD of given numbers 272, 980, 396, 898 is 2

2. How to calculate the greatest common divisor of 272, 980, 396, 898?

We can find the highest common divisor of 272, 980, 396, 898 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 272, 980, 396, 898 i.e 2.

3. How can I use the GCD of 272, 980, 396, 898Calculator?

Out the numbers 272, 980, 396, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.