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GCD of 460, 772, 620, 562 Calculator

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


Online GCD Calculator is useful to find the GCD of 460, 772, 620, 562 quickly. Get the easiest ways to solve the greatest common divisor of 460, 772, 620, 562 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 460, 772, 620, 562 with Factoring?

Given Input numbers are 460, 772, 620, 562

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 620 :

The positive integer divisors of 620 that completely divides 620 are.

1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562


GCD of numbers is the greatest common divisor

So, the GCD (460, 772, 620, 562) = 2.

Find GCD of 460, 772, 620, 562 using Prime Factorization

Given numbers are 460, 772, 620, 562

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 772 are 2 x 2 x 193

Prime factors of 620 are 2 x 2 x 5 x 31

Prime factors of 562 are 2 x 281

The highest common occurrence is 21

Therefore, GCD of 460, 772, 620, 562 is 2.

Steps to Calculate GCD of 460, 772, 620, 562 using LCM Formula

Given numbers are 460, 772, 620, 562

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

Apply this formula for all numbers.

Step1:

LCM(460, 772) = 88780

GCD(460, 772) = ( 460 x 772 ) / 88780

= 460 / 772

= 460


Step2:

LCM(4, 620) = 620

GCD(4, 620) = ( 4 x 620 ) / 620

= 4 / 620

= 4


Step3:

LCM(4, 562) = 1124

GCD(4, 562) = ( 4 x 562 ) / 1124

= 4 / 562

= 4


So, Greatest Common Divisor of 460, 772, 620, 562 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 460, 772, 620, 562

Given numbers are 460, 772, 620, 562
The greatest common divisor of numbers 460, 772, 620, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 772, 620, 562 is 2.

FAQs on GCD of 460, 772, 620, 562 Calculator

1. What is the GCD of 460, 772, 620, 562?

GCD of given numbers 460, 772, 620, 562 is 2


2. How to calculate the greatest common divisor of 460, 772, 620, 562?

We can find the highest common divisor of 460, 772, 620, 562 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 460, 772, 620, 562 i.e 2.


3. How can I use the GCD of 460, 772, 620, 562Calculator?

Out the numbers 460, 772, 620, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.