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GCD of 149, 104, 120, 545 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, 104, 120, 545 quickly. Get the easiest ways to solve the greatest common divisor of 149, 104, 120, 545 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 149, 104, 120, 545 with Factoring?

Given Input numbers are 149, 104, 120, 545

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 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 545 :

The positive integer divisors of 545 that completely divides 545 are.

1, 5, 109, 545


GCD of numbers is the greatest common divisor

So, the GCD (149, 104, 120, 545) = 1.

Find GCD of 149, 104, 120, 545 using Prime Factorization

Given numbers are 149, 104, 120, 545

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 545 are 5 x 109

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

Steps to Calculate GCD of 149, 104, 120, 545 using LCM Formula

Given numbers are 149, 104, 120, 545

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

Apply this formula for all numbers.

Step1:

LCM(149, 104) = 15496

GCD(149, 104) = ( 149 x 104 ) / 15496

= 149 / 104

= 149


Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1


Step3:

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

= 1 / 545

= 1


So, Greatest Common Divisor of 149, 104, 120, 545 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 149, 104, 120, 545

Given numbers are 149, 104, 120, 545
The greatest common divisor of numbers 149, 104, 120, 545 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 104, 120, 545 is 1.

FAQs on GCD of 149, 104, 120, 545 Calculator

1. What is the GCD of 149, 104, 120, 545?

GCD of given numbers 149, 104, 120, 545 is 1


2. How to calculate the greatest common divisor of 149, 104, 120, 545?

We can find the highest common divisor of 149, 104, 120, 545 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, 104, 120, 545 i.e 1.


3. How can I use the GCD of 149, 104, 120, 545Calculator?

Out the numbers 149, 104, 120, 545 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.