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GCD of 988, 572, 974, 448 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 988, 572, 974, 448 quickly. Get the easiest ways to solve the greatest common divisor of 988, 572, 974, 448 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 988, 572, 974, 448 with Factoring?

Given Input numbers are 988, 572, 974, 448

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

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448


GCD of numbers is the greatest common divisor

So, the GCD (988, 572, 974, 448) = 2.

Find GCD of 988, 572, 974, 448 using Prime Factorization

Given numbers are 988, 572, 974, 448

The list of prime factors of all numbers are

Prime factors of 988 are 2 x 2 x 13 x 19

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 974 are 2 x 487

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 21

Therefore, GCD of 988, 572, 974, 448 is 2.

Steps to Calculate GCD of 988, 572, 974, 448 using LCM Formula

Given numbers are 988, 572, 974, 448

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

Apply this formula for all numbers.

Step1:

LCM(988, 572) = 10868

GCD(988, 572) = ( 988 x 572 ) / 10868

= 988 / 572

= 988


Step2:

LCM(52, 974) = 25324

GCD(52, 974) = ( 52 x 974 ) / 25324

= 52 / 974

= 52


Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2


So, Greatest Common Divisor of 988, 572, 974, 448 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 988, 572, 974, 448

Given numbers are 988, 572, 974, 448
The greatest common divisor of numbers 988, 572, 974, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 988, 572, 974, 448 is 2.

FAQs on GCD of 988, 572, 974, 448 Calculator

1. What is the GCD of 988, 572, 974, 448?

GCD of given numbers 988, 572, 974, 448 is 2


2. How to calculate the greatest common divisor of 988, 572, 974, 448?

We can find the highest common divisor of 988, 572, 974, 448 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 988, 572, 974, 448 i.e 2.


3. How can I use the GCD of 988, 572, 974, 448Calculator?

Out the numbers 988, 572, 974, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.