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GCD of 140, 412, 689, 122 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, 412, 689, 122 quickly. Get the easiest ways to solve the greatest common divisor of 140, 412, 689, 122 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 140, 412, 689, 122 with Factoring?

Given Input numbers are 140, 412, 689, 122

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 412 :

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

1, 2, 4, 103, 206, 412

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122


GCD of numbers is the greatest common divisor

So, the GCD (140, 412, 689, 122) = 1.

Find GCD of 140, 412, 689, 122 using Prime Factorization

Given numbers are 140, 412, 689, 122

The list of prime factors of all numbers are

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

Prime factors of 412 are 2 x 2 x 103

Prime factors of 689 are 13 x 53

Prime factors of 122 are 2 x 61

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

Steps to Calculate GCD of 140, 412, 689, 122 using LCM Formula

Given numbers are 140, 412, 689, 122

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

Apply this formula for all numbers.

Step1:

LCM(140, 412) = 14420

GCD(140, 412) = ( 140 x 412 ) / 14420

= 140 / 412

= 140


Step2:

LCM(4, 689) = 2756

GCD(4, 689) = ( 4 x 689 ) / 2756

= 4 / 689

= 4


Step3:

LCM(1, 122) = 122

GCD(1, 122) = ( 1 x 122 ) / 122

= 1 / 122

= 1


So, Greatest Common Divisor of 140, 412, 689, 122 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 140, 412, 689, 122

Given numbers are 140, 412, 689, 122
The greatest common divisor of numbers 140, 412, 689, 122 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 412, 689, 122 is 1.

FAQs on GCD of 140, 412, 689, 122 Calculator

1. What is the GCD of 140, 412, 689, 122?

GCD of given numbers 140, 412, 689, 122 is 1


2. How to calculate the greatest common divisor of 140, 412, 689, 122?

We can find the highest common divisor of 140, 412, 689, 122 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, 412, 689, 122 i.e 1.


3. How can I use the GCD of 140, 412, 689, 122Calculator?

Out the numbers 140, 412, 689, 122 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.