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GCD of 149, 221, 78, 429 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, 221, 78, 429 quickly. Get the easiest ways to solve the greatest common divisor of 149, 221, 78, 429 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 149, 221, 78, 429 with Factoring?

Given Input numbers are 149, 221, 78, 429

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 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 429 :

The positive integer divisors of 429 that completely divides 429 are.

1, 3, 11, 13, 33, 39, 143, 429


GCD of numbers is the greatest common divisor

So, the GCD (149, 221, 78, 429) = 1.

Find GCD of 149, 221, 78, 429 using Prime Factorization

Given numbers are 149, 221, 78, 429

The list of prime factors of all numbers are

Prime factors of 149 are 149

Prime factors of 221 are 13 x 17

Prime factors of 78 are 2 x 3 x 13

Prime factors of 429 are 3 x 11 x 13

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

Steps to Calculate GCD of 149, 221, 78, 429 using LCM Formula

Given numbers are 149, 221, 78, 429

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

Apply this formula for all numbers.

Step1:

LCM(149, 221) = 32929

GCD(149, 221) = ( 149 x 221 ) / 32929

= 149 / 221

= 149


Step2:

LCM(1, 78) = 78

GCD(1, 78) = ( 1 x 78 ) / 78

= 1 / 78

= 1


Step3:

LCM(1, 429) = 429

GCD(1, 429) = ( 1 x 429 ) / 429

= 1 / 429

= 1


So, Greatest Common Divisor of 149, 221, 78, 429 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 149, 221, 78, 429

Given numbers are 149, 221, 78, 429
The greatest common divisor of numbers 149, 221, 78, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 221, 78, 429 is 1.

FAQs on GCD of 149, 221, 78, 429 Calculator

1. What is the GCD of 149, 221, 78, 429?

GCD of given numbers 149, 221, 78, 429 is 1


2. How to calculate the greatest common divisor of 149, 221, 78, 429?

We can find the highest common divisor of 149, 221, 78, 429 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, 221, 78, 429 i.e 1.


3. How can I use the GCD of 149, 221, 78, 429Calculator?

Out the numbers 149, 221, 78, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.