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GCD of 138, 562, 356, 661 Calculator

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


Online GCD Calculator is useful to find the GCD of 138, 562, 356, 661 quickly. Get the easiest ways to solve the greatest common divisor of 138, 562, 356, 661 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 138, 562, 356, 661 with Factoring?

Given Input numbers are 138, 562, 356, 661

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

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661


GCD of numbers is the greatest common divisor

So, the GCD (138, 562, 356, 661) = 1.

Find GCD of 138, 562, 356, 661 using Prime Factorization

Given numbers are 138, 562, 356, 661

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 562 are 2 x 281

Prime factors of 356 are 2 x 2 x 89

Prime factors of 661 are 661

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

Steps to Calculate GCD of 138, 562, 356, 661 using LCM Formula

Given numbers are 138, 562, 356, 661

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

Apply this formula for all numbers.

Step1:

LCM(138, 562) = 38778

GCD(138, 562) = ( 138 x 562 ) / 38778

= 138 / 562

= 138


Step2:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2


Step3:

LCM(2, 661) = 1322

GCD(2, 661) = ( 2 x 661 ) / 1322

= 2 / 661

= 2


So, Greatest Common Divisor of 138, 562, 356, 661 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 138, 562, 356, 661

Given numbers are 138, 562, 356, 661
The greatest common divisor of numbers 138, 562, 356, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 562, 356, 661 is 1.

FAQs on GCD of 138, 562, 356, 661 Calculator

1. What is the GCD of 138, 562, 356, 661?

GCD of given numbers 138, 562, 356, 661 is 1


2. How to calculate the greatest common divisor of 138, 562, 356, 661?

We can find the highest common divisor of 138, 562, 356, 661 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 138, 562, 356, 661 i.e 1.


3. How can I use the GCD of 138, 562, 356, 661Calculator?

Out the numbers 138, 562, 356, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.