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GCD of 140, 714, 472, 889 Calculator

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


Online GCD Calculator is useful to find the GCD of 140, 714, 472, 889 quickly. Get the easiest ways to solve the greatest common divisor of 140, 714, 472, 889 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 140, 714, 472, 889 with Factoring?

Given Input numbers are 140, 714, 472, 889

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

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889


GCD of numbers is the greatest common divisor

So, the GCD (140, 714, 472, 889) = 1.

Find GCD of 140, 714, 472, 889 using Prime Factorization

Given numbers are 140, 714, 472, 889

The list of prime factors of all numbers are

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

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 889 are 7 x 127

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

Steps to Calculate GCD of 140, 714, 472, 889 using LCM Formula

Given numbers are 140, 714, 472, 889

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

Apply this formula for all numbers.

Step1:

LCM(140, 714) = 7140

GCD(140, 714) = ( 140 x 714 ) / 7140

= 140 / 714

= 140


Step2:

LCM(14, 472) = 3304

GCD(14, 472) = ( 14 x 472 ) / 3304

= 14 / 472

= 14


Step3:

LCM(2, 889) = 1778

GCD(2, 889) = ( 2 x 889 ) / 1778

= 2 / 889

= 2


So, Greatest Common Divisor of 140, 714, 472, 889 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 140, 714, 472, 889

Given numbers are 140, 714, 472, 889
The greatest common divisor of numbers 140, 714, 472, 889 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 714, 472, 889 is 1.

FAQs on GCD of 140, 714, 472, 889 Calculator

1. What is the GCD of 140, 714, 472, 889?

GCD of given numbers 140, 714, 472, 889 is 1


2. How to calculate the greatest common divisor of 140, 714, 472, 889?

We can find the highest common divisor of 140, 714, 472, 889 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 140, 714, 472, 889 i.e 1.


3. How can I use the GCD of 140, 714, 472, 889Calculator?

Out the numbers 140, 714, 472, 889 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.