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GCD of 700, 412, 724, 645 Calculator

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


Online GCD Calculator is useful to find the GCD of 700, 412, 724, 645 quickly. Get the easiest ways to solve the greatest common divisor of 700, 412, 724, 645 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 412, 724, 645 with Factoring?

Given Input numbers are 700, 412, 724, 645

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645


GCD of numbers is the greatest common divisor

So, the GCD (700, 412, 724, 645) = 1.

Find GCD of 700, 412, 724, 645 using Prime Factorization

Given numbers are 700, 412, 724, 645

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 412 are 2 x 2 x 103

Prime factors of 724 are 2 x 2 x 181

Prime factors of 645 are 3 x 5 x 43

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

Steps to Calculate GCD of 700, 412, 724, 645 using LCM Formula

Given numbers are 700, 412, 724, 645

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

Apply this formula for all numbers.

Step1:

LCM(700, 412) = 72100

GCD(700, 412) = ( 700 x 412 ) / 72100

= 700 / 412

= 700


Step2:

LCM(4, 724) = 724

GCD(4, 724) = ( 4 x 724 ) / 724

= 4 / 724

= 4


Step3:

LCM(4, 645) = 2580

GCD(4, 645) = ( 4 x 645 ) / 2580

= 4 / 645

= 4


So, Greatest Common Divisor of 700, 412, 724, 645 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 412, 724, 645

Given numbers are 700, 412, 724, 645
The greatest common divisor of numbers 700, 412, 724, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 412, 724, 645 is 1.

FAQs on GCD of 700, 412, 724, 645 Calculator

1. What is the GCD of 700, 412, 724, 645?

GCD of given numbers 700, 412, 724, 645 is 1


2. How to calculate the greatest common divisor of 700, 412, 724, 645?

We can find the highest common divisor of 700, 412, 724, 645 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 700, 412, 724, 645 i.e 1.


3. How can I use the GCD of 700, 412, 724, 645Calculator?

Out the numbers 700, 412, 724, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.