Greatest Common Factor of 380/680, 9663/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/680, 9663/552

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 380/680,9663/552

Given fractions are 380/680,9663/552

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 380,9663

Greatest Common Factor of Numerators i.e. GCF of 380,9663 is 1 .

LCM of Denominators means LCM of 680,552 as per the given fractions.

LCM of 680,552 is 46920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,9663

GCF of Fractions 380/680,9663/552 is 1/46920

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 380,9663 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,9663 By Matching Biggest Common Factor Method

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1,2,4,5,10,19,20,38,76,95,190,380

Factors of 9663

List of positive integer factors of 9663 that divides 9663 without a remainder.

1,3,3221,9663

Greatest Common Factor

We found the factors 380,9663 . The biggest common factor number is the GCF number.
So the greatest common factor 380,9663 is 1.

Lets's calculate LCM of 680,552

2 680, 552
2 340, 276
2 170, 138
85, 69

∴ So the LCM of the given numbers is 2 x 2 x 2 x 85 x 69 = 46920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46920

Therefore, the GCF of Fractions 380/680,9663/552 is 1/46920

Least Common Multiple of 680,552 with GCF Formula

Least Common Multiple of 680,552 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 680,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,552) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(680,552) x common factors =8 x 1 = 8

LCM(680,552) = ( 680 × 552 ) / 8

LCM(680,552) = 375360 / 8

LCM(680,552) = 46920


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 380/680, 9663/552

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 380/680, 9663/552?

Answer: GCF of Numerators as per given numbers 380/680, 9663/552 is

GCF of Numerators i.e. for 380,9663 is 1

LCM of denominators i.e. for 680,552 is 46920.

Thus, GCF of Fractions is 1/46920.Finally, GCF of Fractions for 380/680, 9663/552 is 1/46920.