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GCD of 149, 896, 369, 624 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, 896, 369, 624 quickly. Get the easiest ways to solve the greatest common divisor of 149, 896, 369, 624 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 149, 896, 369, 624 with Factoring?

Given Input numbers are 149, 896, 369, 624

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 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624


GCD of numbers is the greatest common divisor

So, the GCD (149, 896, 369, 624) = 1.

Find GCD of 149, 896, 369, 624 using Prime Factorization

Given numbers are 149, 896, 369, 624

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 369 are 3 x 3 x 41

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

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

Steps to Calculate GCD of 149, 896, 369, 624 using LCM Formula

Given numbers are 149, 896, 369, 624

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

Apply this formula for all numbers.

Step1:

LCM(149, 896) = 133504

GCD(149, 896) = ( 149 x 896 ) / 133504

= 149 / 896

= 149


Step2:

LCM(1, 369) = 369

GCD(1, 369) = ( 1 x 369 ) / 369

= 1 / 369

= 1


Step3:

LCM(1, 624) = 624

GCD(1, 624) = ( 1 x 624 ) / 624

= 1 / 624

= 1


So, Greatest Common Divisor of 149, 896, 369, 624 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 149, 896, 369, 624

Given numbers are 149, 896, 369, 624
The greatest common divisor of numbers 149, 896, 369, 624 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 896, 369, 624 is 1.

FAQs on GCD of 149, 896, 369, 624 Calculator

1. What is the GCD of 149, 896, 369, 624?

GCD of given numbers 149, 896, 369, 624 is 1


2. How to calculate the greatest common divisor of 149, 896, 369, 624?

We can find the highest common divisor of 149, 896, 369, 624 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, 896, 369, 624 i.e 1.


3. How can I use the GCD of 149, 896, 369, 624Calculator?

Out the numbers 149, 896, 369, 624 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.