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GCD of 431, 748, 201, 140 Calculator

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


Online GCD Calculator is useful to find the GCD of 431, 748, 201, 140 quickly. Get the easiest ways to solve the greatest common divisor of 431, 748, 201, 140 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 431, 748, 201, 140 with Factoring?

Given Input numbers are 431, 748, 201, 140

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

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140


GCD of numbers is the greatest common divisor

So, the GCD (431, 748, 201, 140) = 1.

Find GCD of 431, 748, 201, 140 using Prime Factorization

Given numbers are 431, 748, 201, 140

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 201 are 3 x 67

Prime factors of 140 are 2 x 2 x 5 x 7

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

Steps to Calculate GCD of 431, 748, 201, 140 using LCM Formula

Given numbers are 431, 748, 201, 140

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

Apply this formula for all numbers.

Step1:

LCM(431, 748) = 322388

GCD(431, 748) = ( 431 x 748 ) / 322388

= 431 / 748

= 431


Step2:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1


Step3:

LCM(1, 140) = 140

GCD(1, 140) = ( 1 x 140 ) / 140

= 1 / 140

= 1


So, Greatest Common Divisor of 431, 748, 201, 140 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 431, 748, 201, 140

Given numbers are 431, 748, 201, 140
The greatest common divisor of numbers 431, 748, 201, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 748, 201, 140 is 1.

FAQs on GCD of 431, 748, 201, 140 Calculator

1. What is the GCD of 431, 748, 201, 140?

GCD of given numbers 431, 748, 201, 140 is 1


2. How to calculate the greatest common divisor of 431, 748, 201, 140?

We can find the highest common divisor of 431, 748, 201, 140 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 431, 748, 201, 140 i.e 1.


3. How can I use the GCD of 431, 748, 201, 140Calculator?

Out the numbers 431, 748, 201, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.