LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 56, 49, 32, 25 Calculator

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


Online GCD Calculator is useful to find the GCD of 56, 49, 32, 25 quickly. Get the easiest ways to solve the greatest common divisor of 56, 49, 32, 25 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 56, 49, 32, 25 with Factoring?

Given Input numbers are 56, 49, 32, 25

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

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 49 :

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

1, 7, 49

Divisors of 32 :

The positive integer divisors of 32 that completely divides 32 are.

1, 2, 4, 8, 16, 32

Divisors of 25 :

The positive integer divisors of 25 that completely divides 25 are.

1, 5, 25


GCD of numbers is the greatest common divisor

So, the GCD (56, 49, 32, 25) = 1.

Find GCD of 56, 49, 32, 25 using Prime Factorization

Given numbers are 56, 49, 32, 25

The list of prime factors of all numbers are

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 49 are 7 x 7

Prime factors of 32 are 2 x 2 x 2 x 2 x 2

Prime factors of 25 are 5 x 5

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

Steps to Calculate GCD of 56, 49, 32, 25 using LCM Formula

Given numbers are 56, 49, 32, 25

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

Apply this formula for all numbers.

Step1:

LCM(56, 49) = 392

GCD(56, 49) = ( 56 x 49 ) / 392

= 56 / 49

= 56


Step2:

LCM(7, 32) = 224

GCD(7, 32) = ( 7 x 32 ) / 224

= 7 / 32

= 7


Step3:

LCM(1, 25) = 25

GCD(1, 25) = ( 1 x 25 ) / 25

= 1 / 25

= 1


So, Greatest Common Divisor of 56, 49, 32, 25 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 56, 49, 32, 25

Given numbers are 56, 49, 32, 25
The greatest common divisor of numbers 56, 49, 32, 25 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 56, 49, 32, 25 is 1.

FAQs on GCD of 56, 49, 32, 25 Calculator

1. What is the GCD of 56, 49, 32, 25?

GCD of given numbers 56, 49, 32, 25 is 1


2. How to calculate the greatest common divisor of 56, 49, 32, 25?

We can find the highest common divisor of 56, 49, 32, 25 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 56, 49, 32, 25 i.e 1.


3. How can I use the GCD of 56, 49, 32, 25Calculator?

Out the numbers 56, 49, 32, 25 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.