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GCD of 880, 506, 770 Calculator

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


Online GCD Calculator is useful to find the GCD of 880, 506, 770 quickly. Get the easiest ways to solve the greatest common divisor of 880, 506, 770 i.e 22 in different methods as follows.

GCD of

How to Find GCD of Numbers 880, 506, 770 with Factoring?

Given Input numbers are 880, 506, 770

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

Divisors of 880 :

The positive integer divisors of 880 that completely divides 880 are.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770


GCD of numbers is the greatest common divisor

So, the GCD (880, 506, 770) = 22.

Find GCD of 880, 506, 770 using Prime Factorization

Given numbers are 880, 506, 770

The list of prime factors of all numbers are

Prime factors of 880 are 2 x 2 x 2 x 2 x 5 x 11

Prime factors of 506 are 2 x 11 x 23

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 111 x 21

Therefore, GCD of 880, 506, 770 is 22.

Steps to Calculate GCD of 880, 506, 770 using LCM Formula

Given numbers are 880, 506, 770

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

Apply this formula for all numbers.

Step1:

LCM(880, 506) = 20240

GCD(880, 506) = ( 880 x 506 ) / 20240

= 880 / 506

= 880


Step2:

LCM(22, 770) = 770

GCD(22, 770) = ( 22 x 770 ) / 770

= 22 / 770

= 22


So, Greatest Common Divisor of 880, 506, 770 is 22

GCD of Numbers Calculation Examples

Greatest Common Divisor of 880, 506, 770

Given numbers are 880, 506, 770
The greatest common divisor of numbers 880, 506, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 506, 770 is 22.

FAQs on GCD of 880, 506, 770 Calculator

1. What is the GCD of 880, 506, 770?

GCD of given numbers 880, 506, 770 is 22


2. How to calculate the greatest common divisor of 880, 506, 770?

We can find the highest common divisor of 880, 506, 770 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 880, 506, 770 i.e 22.


3. How can I use the GCD of 880, 506, 770Calculator?

Out the numbers 880, 506, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.