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GCD of 896, 735, 668, 139 Calculator

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


Online GCD Calculator is useful to find the GCD of 896, 735, 668, 139 quickly. Get the easiest ways to solve the greatest common divisor of 896, 735, 668, 139 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 896, 735, 668, 139 with Factoring?

Given Input numbers are 896, 735, 668, 139

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139


GCD of numbers is the greatest common divisor

So, the GCD (896, 735, 668, 139) = 1.

Find GCD of 896, 735, 668, 139 using Prime Factorization

Given numbers are 896, 735, 668, 139

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 668 are 2 x 2 x 167

Prime factors of 139 are 139

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

Steps to Calculate GCD of 896, 735, 668, 139 using LCM Formula

Given numbers are 896, 735, 668, 139

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

Apply this formula for all numbers.

Step1:

LCM(896, 735) = 94080

GCD(896, 735) = ( 896 x 735 ) / 94080

= 896 / 735

= 896


Step2:

LCM(7, 668) = 4676

GCD(7, 668) = ( 7 x 668 ) / 4676

= 7 / 668

= 7


Step3:

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

= 1 / 139

= 1


So, Greatest Common Divisor of 896, 735, 668, 139 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 896, 735, 668, 139

Given numbers are 896, 735, 668, 139
The greatest common divisor of numbers 896, 735, 668, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 735, 668, 139 is 1.

FAQs on GCD of 896, 735, 668, 139 Calculator

1. What is the GCD of 896, 735, 668, 139?

GCD of given numbers 896, 735, 668, 139 is 1


2. How to calculate the greatest common divisor of 896, 735, 668, 139?

We can find the highest common divisor of 896, 735, 668, 139 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 896, 735, 668, 139 i.e 1.


3. How can I use the GCD of 896, 735, 668, 139Calculator?

Out the numbers 896, 735, 668, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.