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GCD of 686, 101, 429, 744 Calculator

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


Online GCD Calculator is useful to find the GCD of 686, 101, 429, 744 quickly. Get the easiest ways to solve the greatest common divisor of 686, 101, 429, 744 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 101, 429, 744 with Factoring?

Given Input numbers are 686, 101, 429, 744

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 101 :

The positive integer divisors of 101 that completely divides 101 are.

1, 101

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744


GCD of numbers is the greatest common divisor

So, the GCD (686, 101, 429, 744) = 1.

Find GCD of 686, 101, 429, 744 using Prime Factorization

Given numbers are 686, 101, 429, 744

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 101 are 101

Prime factors of 429 are 3 x 11 x 13

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

Steps to Calculate GCD of 686, 101, 429, 744 using LCM Formula

Given numbers are 686, 101, 429, 744

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

Apply this formula for all numbers.

Step1:

LCM(686, 101) = 69286

GCD(686, 101) = ( 686 x 101 ) / 69286

= 686 / 101

= 686


Step2:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1


Step3:

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

= 1 / 744

= 1


So, Greatest Common Divisor of 686, 101, 429, 744 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 101, 429, 744

Given numbers are 686, 101, 429, 744
The greatest common divisor of numbers 686, 101, 429, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 101, 429, 744 is 1.

FAQs on GCD of 686, 101, 429, 744 Calculator

1. What is the GCD of 686, 101, 429, 744?

GCD of given numbers 686, 101, 429, 744 is 1


2. How to calculate the greatest common divisor of 686, 101, 429, 744?

We can find the highest common divisor of 686, 101, 429, 744 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 686, 101, 429, 744 i.e 1.


3. How can I use the GCD of 686, 101, 429, 744Calculator?

Out the numbers 686, 101, 429, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.