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GCD of 140, 149, 59, 869 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, 149, 59, 869 quickly. Get the easiest ways to solve the greatest common divisor of 140, 149, 59, 869 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 140, 149, 59, 869 with Factoring?

Given Input numbers are 140, 149, 59, 869

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 869 :

The positive integer divisors of 869 that completely divides 869 are.

1, 11, 79, 869


GCD of numbers is the greatest common divisor

So, the GCD (140, 149, 59, 869) = 1.

Find GCD of 140, 149, 59, 869 using Prime Factorization

Given numbers are 140, 149, 59, 869

The list of prime factors of all numbers are

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

Prime factors of 149 are 149

Prime factors of 59 are 59

Prime factors of 869 are 11 x 79

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

Steps to Calculate GCD of 140, 149, 59, 869 using LCM Formula

Given numbers are 140, 149, 59, 869

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

Apply this formula for all numbers.

Step1:

LCM(140, 149) = 20860

GCD(140, 149) = ( 140 x 149 ) / 20860

= 140 / 149

= 140


Step2:

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

= 1 / 59

= 1


Step3:

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

= 1 / 869

= 1


So, Greatest Common Divisor of 140, 149, 59, 869 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 140, 149, 59, 869

Given numbers are 140, 149, 59, 869
The greatest common divisor of numbers 140, 149, 59, 869 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 149, 59, 869 is 1.

FAQs on GCD of 140, 149, 59, 869 Calculator

1. What is the GCD of 140, 149, 59, 869?

GCD of given numbers 140, 149, 59, 869 is 1


2. How to calculate the greatest common divisor of 140, 149, 59, 869?

We can find the highest common divisor of 140, 149, 59, 869 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, 149, 59, 869 i.e 1.


3. How can I use the GCD of 140, 149, 59, 869Calculator?

Out the numbers 140, 149, 59, 869 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.