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GCD of 149, 138, 352, 698 Calculator

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


Online GCD Calculator is useful to find the GCD of 149, 138, 352, 698 quickly. Get the easiest ways to solve the greatest common divisor of 149, 138, 352, 698 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 149, 138, 352, 698 with Factoring?

Given Input numbers are 149, 138, 352, 698

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

Divisors of 149 :

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

1, 149

Divisors of 138 :

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

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

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698


GCD of numbers is the greatest common divisor

So, the GCD (149, 138, 352, 698) = 1.

Find GCD of 149, 138, 352, 698 using Prime Factorization

Given numbers are 149, 138, 352, 698

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 138 are 2 x 3 x 23

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 698 are 2 x 349

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

Steps to Calculate GCD of 149, 138, 352, 698 using LCM Formula

Given numbers are 149, 138, 352, 698

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

Apply this formula for all numbers.

Step1:

LCM(149, 138) = 20562

GCD(149, 138) = ( 149 x 138 ) / 20562

= 149 / 138

= 149


Step2:

LCM(1, 352) = 352

GCD(1, 352) = ( 1 x 352 ) / 352

= 1 / 352

= 1


Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1


So, Greatest Common Divisor of 149, 138, 352, 698 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 149, 138, 352, 698

Given numbers are 149, 138, 352, 698
The greatest common divisor of numbers 149, 138, 352, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 138, 352, 698 is 1.

FAQs on GCD of 149, 138, 352, 698 Calculator

1. What is the GCD of 149, 138, 352, 698?

GCD of given numbers 149, 138, 352, 698 is 1


2. How to calculate the greatest common divisor of 149, 138, 352, 698?

We can find the highest common divisor of 149, 138, 352, 698 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 149, 138, 352, 698 i.e 1.


3. How can I use the GCD of 149, 138, 352, 698Calculator?

Out the numbers 149, 138, 352, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.