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GCD of 880, 720, 280, 352 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, 720, 280, 352 quickly. Get the easiest ways to solve the greatest common divisor of 880, 720, 280, 352 i.e 8 in different methods as follows.

GCD of

How to Find GCD of Numbers 880, 720, 280, 352 with Factoring?

Given Input numbers are 880, 720, 280, 352

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352


GCD of numbers is the greatest common divisor

So, the GCD (880, 720, 280, 352) = 8.

Find GCD of 880, 720, 280, 352 using Prime Factorization

Given numbers are 880, 720, 280, 352

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 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 23

Therefore, GCD of 880, 720, 280, 352 is 8.

Steps to Calculate GCD of 880, 720, 280, 352 using LCM Formula

Given numbers are 880, 720, 280, 352

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

Apply this formula for all numbers.

Step1:

LCM(880, 720) = 7920

GCD(880, 720) = ( 880 x 720 ) / 7920

= 880 / 720

= 880


Step2:

LCM(80, 280) = 560

GCD(80, 280) = ( 80 x 280 ) / 560

= 80 / 280

= 80


Step3:

LCM(40, 352) = 1760

GCD(40, 352) = ( 40 x 352 ) / 1760

= 40 / 352

= 40


So, Greatest Common Divisor of 880, 720, 280, 352 is 8

GCD of Numbers Calculation Examples

Greatest Common Divisor of 880, 720, 280, 352

Given numbers are 880, 720, 280, 352
The greatest common divisor of numbers 880, 720, 280, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 880, 720, 280, 352 is 8.

FAQs on GCD of 880, 720, 280, 352 Calculator

1. What is the GCD of 880, 720, 280, 352?

GCD of given numbers 880, 720, 280, 352 is 8


2. How to calculate the greatest common divisor of 880, 720, 280, 352?

We can find the highest common divisor of 880, 720, 280, 352 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, 720, 280, 352 i.e 8.


3. How can I use the GCD of 880, 720, 280, 352Calculator?

Out the numbers 880, 720, 280, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.