GCD of 228, 972, 49, 356 Calculator

Given Input numbers are 228, 972, 49, 356

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

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 49 :

The positive integer divisors of 49 that completely divides 49 are.

1, 7, 49

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (228, 972, 49, 356) = 1.

Given numbers are 228, 972, 49, 356

The list of prime factors of all numbers are

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 49 are 7 x 7

Prime factors of 356 are 2 x 2 x 89

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

Given numbers are 228, 972, 49, 356

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

Apply this formula for all numbers.

Step1:

LCM(228, 972) = 18468

GCD(228, 972) = ( 228 x 972 ) / 18468

= 228 / 972

= 228

Step2:

LCM(12, 49) = 588

GCD(12, 49) = ( 12 x 49 ) / 588

= 12 / 49

= 12

Step3:

LCM(1, 356) = 356

GCD(1, 356) = ( 1 x 356 ) / 356

= 1 / 356

= 1

So, Greatest Common Divisor of 228, 972, 49, 356 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 236, 49, 791
• GCD of 810, 470, 53, 730
• GCD of 156, 400, 66, 541
• GCD of 471, 204, 49, 670
• GCD of 346, 232, 39, 142

Given numbers are 228, 972, 49, 356
The greatest common divisor of numbers 228, 972, 49, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 972, 49, 356 is 1.

1. What is the GCD of 228, 972, 49, 356?

GCD of given numbers 228, 972, 49, 356 is 1

2. How to calculate the greatest common divisor of 228, 972, 49, 356?

We can find the highest common divisor of 228, 972, 49, 356 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 228, 972, 49, 356 i.e 1.

3. How can I use the GCD of 228, 972, 49, 356Calculator?

Out the numbers 228, 972, 49, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.