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GCD of 780, 462, 70, 530 Calculator

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


Online GCD Calculator is useful to find the GCD of 780, 462, 70, 530 quickly. Get the easiest ways to solve the greatest common divisor of 780, 462, 70, 530 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 780, 462, 70, 530 with Factoring?

Given Input numbers are 780, 462, 70, 530

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

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 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 530 :

The positive integer divisors of 530 that completely divides 530 are.

1, 2, 5, 10, 53, 106, 265, 530


GCD of numbers is the greatest common divisor

So, the GCD (780, 462, 70, 530) = 2.

Find GCD of 780, 462, 70, 530 using Prime Factorization

Given numbers are 780, 462, 70, 530

The list of prime factors of all numbers are

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

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 70 are 2 x 5 x 7

Prime factors of 530 are 2 x 5 x 53

The highest common occurrence is 21

Therefore, GCD of 780, 462, 70, 530 is 2.

Steps to Calculate GCD of 780, 462, 70, 530 using LCM Formula

Given numbers are 780, 462, 70, 530

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

Apply this formula for all numbers.

Step1:

LCM(780, 462) = 60060

GCD(780, 462) = ( 780 x 462 ) / 60060

= 780 / 462

= 780


Step2:

LCM(6, 70) = 210

GCD(6, 70) = ( 6 x 70 ) / 210

= 6 / 70

= 6


Step3:

LCM(2, 530) = 530

GCD(2, 530) = ( 2 x 530 ) / 530

= 2 / 530

= 2


So, Greatest Common Divisor of 780, 462, 70, 530 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 780, 462, 70, 530

Given numbers are 780, 462, 70, 530
The greatest common divisor of numbers 780, 462, 70, 530 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 462, 70, 530 is 2.

FAQs on GCD of 780, 462, 70, 530 Calculator

1. What is the GCD of 780, 462, 70, 530?

GCD of given numbers 780, 462, 70, 530 is 2


2. How to calculate the greatest common divisor of 780, 462, 70, 530?

We can find the highest common divisor of 780, 462, 70, 530 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 780, 462, 70, 530 i.e 2.


3. How can I use the GCD of 780, 462, 70, 530Calculator?

Out the numbers 780, 462, 70, 530 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.