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GCD of 700, 202, 398, 113 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, 202, 398, 113 quickly. Get the easiest ways to solve the greatest common divisor of 700, 202, 398, 113 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 700, 202, 398, 113 with Factoring?

Given Input numbers are 700, 202, 398, 113

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 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 113 :

The positive integer divisors of 113 that completely divides 113 are.

1, 113


GCD of numbers is the greatest common divisor

So, the GCD (700, 202, 398, 113) = 1.

Find GCD of 700, 202, 398, 113 using Prime Factorization

Given numbers are 700, 202, 398, 113

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 202 are 2 x 101

Prime factors of 398 are 2 x 199

Prime factors of 113 are 113

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

Steps to Calculate GCD of 700, 202, 398, 113 using LCM Formula

Given numbers are 700, 202, 398, 113

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

Apply this formula for all numbers.

Step1:

LCM(700, 202) = 70700

GCD(700, 202) = ( 700 x 202 ) / 70700

= 700 / 202

= 700


Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2


Step3:

LCM(2, 113) = 226

GCD(2, 113) = ( 2 x 113 ) / 226

= 2 / 113

= 2


So, Greatest Common Divisor of 700, 202, 398, 113 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 700, 202, 398, 113

Given numbers are 700, 202, 398, 113
The greatest common divisor of numbers 700, 202, 398, 113 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 202, 398, 113 is 1.

FAQs on GCD of 700, 202, 398, 113 Calculator

1. What is the GCD of 700, 202, 398, 113?

GCD of given numbers 700, 202, 398, 113 is 1


2. How to calculate the greatest common divisor of 700, 202, 398, 113?

We can find the highest common divisor of 700, 202, 398, 113 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, 202, 398, 113 i.e 1.


3. How can I use the GCD of 700, 202, 398, 113Calculator?

Out the numbers 700, 202, 398, 113 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.