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GCD of 148, 618, 780, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 148, 618, 780, 420 quickly. Get the easiest ways to solve the greatest common divisor of 148, 618, 780, 420 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 148, 618, 780, 420 with Factoring?

Given Input numbers are 148, 618, 780, 420

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

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420


GCD of numbers is the greatest common divisor

So, the GCD (148, 618, 780, 420) = 2.

Find GCD of 148, 618, 780, 420 using Prime Factorization

Given numbers are 148, 618, 780, 420

The list of prime factors of all numbers are

Prime factors of 148 are 2 x 2 x 37

Prime factors of 618 are 2 x 3 x 103

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 21

Therefore, GCD of 148, 618, 780, 420 is 2.

Steps to Calculate GCD of 148, 618, 780, 420 using LCM Formula

Given numbers are 148, 618, 780, 420

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

Apply this formula for all numbers.

Step1:

LCM(148, 618) = 45732

GCD(148, 618) = ( 148 x 618 ) / 45732

= 148 / 618

= 148


Step2:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2


Step3:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2


So, Greatest Common Divisor of 148, 618, 780, 420 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 148, 618, 780, 420

Given numbers are 148, 618, 780, 420
The greatest common divisor of numbers 148, 618, 780, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 148, 618, 780, 420 is 2.

FAQs on GCD of 148, 618, 780, 420 Calculator

1. What is the GCD of 148, 618, 780, 420?

GCD of given numbers 148, 618, 780, 420 is 2


2. How to calculate the greatest common divisor of 148, 618, 780, 420?

We can find the highest common divisor of 148, 618, 780, 420 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 148, 618, 780, 420 i.e 2.


3. How can I use the GCD of 148, 618, 780, 420Calculator?

Out the numbers 148, 618, 780, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.