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GCD of 712, 688, 784, 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 712, 688, 784, 139 quickly. Get the easiest ways to solve the greatest common divisor of 712, 688, 784, 139 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 712, 688, 784, 139 with Factoring?

Given Input numbers are 712, 688, 784, 139

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

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

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 (712, 688, 784, 139) = 1.

Find GCD of 712, 688, 784, 139 using Prime Factorization

Given numbers are 712, 688, 784, 139

The list of prime factors of all numbers are

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

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 712, 688, 784, 139 using LCM Formula

Given numbers are 712, 688, 784, 139

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

Apply this formula for all numbers.

Step1:

LCM(712, 688) = 61232

GCD(712, 688) = ( 712 x 688 ) / 61232

= 712 / 688

= 712


Step2:

LCM(8, 784) = 784

GCD(8, 784) = ( 8 x 784 ) / 784

= 8 / 784

= 8


Step3:

LCM(8, 139) = 1112

GCD(8, 139) = ( 8 x 139 ) / 1112

= 8 / 139

= 8


So, Greatest Common Divisor of 712, 688, 784, 139 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 712, 688, 784, 139

Given numbers are 712, 688, 784, 139
The greatest common divisor of numbers 712, 688, 784, 139 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 688, 784, 139 is 1.

FAQs on GCD of 712, 688, 784, 139 Calculator

1. What is the GCD of 712, 688, 784, 139?

GCD of given numbers 712, 688, 784, 139 is 1


2. How to calculate the greatest common divisor of 712, 688, 784, 139?

We can find the highest common divisor of 712, 688, 784, 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 712, 688, 784, 139 i.e 1.


3. How can I use the GCD of 712, 688, 784, 139Calculator?

Out the numbers 712, 688, 784, 139 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.