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GCD of 760, 487, 492, 964 Calculator

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


Online GCD Calculator is useful to find the GCD of 760, 487, 492, 964 quickly. Get the easiest ways to solve the greatest common divisor of 760, 487, 492, 964 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 760, 487, 492, 964 with Factoring?

Given Input numbers are 760, 487, 492, 964

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

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 487 :

The positive integer divisors of 487 that completely divides 487 are.

1, 487

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964


GCD of numbers is the greatest common divisor

So, the GCD (760, 487, 492, 964) = 1.

Find GCD of 760, 487, 492, 964 using Prime Factorization

Given numbers are 760, 487, 492, 964

The list of prime factors of all numbers are

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 487 are 487

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 964 are 2 x 2 x 241

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

Steps to Calculate GCD of 760, 487, 492, 964 using LCM Formula

Given numbers are 760, 487, 492, 964

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

Apply this formula for all numbers.

Step1:

LCM(760, 487) = 370120

GCD(760, 487) = ( 760 x 487 ) / 370120

= 760 / 487

= 760


Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1


So, Greatest Common Divisor of 760, 487, 492, 964 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 760, 487, 492, 964

Given numbers are 760, 487, 492, 964
The greatest common divisor of numbers 760, 487, 492, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 487, 492, 964 is 1.

FAQs on GCD of 760, 487, 492, 964 Calculator

1. What is the GCD of 760, 487, 492, 964?

GCD of given numbers 760, 487, 492, 964 is 1


2. How to calculate the greatest common divisor of 760, 487, 492, 964?

We can find the highest common divisor of 760, 487, 492, 964 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 760, 487, 492, 964 i.e 1.


3. How can I use the GCD of 760, 487, 492, 964Calculator?

Out the numbers 760, 487, 492, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.