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GCD of 513, 148, 780, 977 Calculator

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


Online GCD Calculator is useful to find the GCD of 513, 148, 780, 977 quickly. Get the easiest ways to solve the greatest common divisor of 513, 148, 780, 977 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 513, 148, 780, 977 with Factoring?

Given Input numbers are 513, 148, 780, 977

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

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 148 :

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

1, 2, 4, 37, 74, 148

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 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977


GCD of numbers is the greatest common divisor

So, the GCD (513, 148, 780, 977) = 1.

Find GCD of 513, 148, 780, 977 using Prime Factorization

Given numbers are 513, 148, 780, 977

The list of prime factors of all numbers are

Prime factors of 513 are 3 x 3 x 3 x 19

Prime factors of 148 are 2 x 2 x 37

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

Prime factors of 977 are 977

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

Steps to Calculate GCD of 513, 148, 780, 977 using LCM Formula

Given numbers are 513, 148, 780, 977

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

Apply this formula for all numbers.

Step1:

LCM(513, 148) = 75924

GCD(513, 148) = ( 513 x 148 ) / 75924

= 513 / 148

= 513


Step2:

LCM(1, 780) = 780

GCD(1, 780) = ( 1 x 780 ) / 780

= 1 / 780

= 1


Step3:

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

= 1 / 977

= 1


So, Greatest Common Divisor of 513, 148, 780, 977 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 513, 148, 780, 977

Given numbers are 513, 148, 780, 977
The greatest common divisor of numbers 513, 148, 780, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 513, 148, 780, 977 is 1.

FAQs on GCD of 513, 148, 780, 977 Calculator

1. What is the GCD of 513, 148, 780, 977?

GCD of given numbers 513, 148, 780, 977 is 1


2. How to calculate the greatest common divisor of 513, 148, 780, 977?

We can find the highest common divisor of 513, 148, 780, 977 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 513, 148, 780, 977 i.e 1.


3. How can I use the GCD of 513, 148, 780, 977Calculator?

Out the numbers 513, 148, 780, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.