Greatest Common Factor of 119/680, 269/574, 965/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 119/680, 269/574, 965/218

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 119/680,269/574,965/218

Given fractions are 119/680,269/574,965/218

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 119,269,965

Greatest Common Factor of Numerators i.e. GCF of 119,269,965 is 1 .

LCM of Denominators means LCM of 680,574,218 as per the given fractions.

LCM of 680,574,218 is 21272440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 119,269,965

GCF of Fractions 119/680,269/574,965/218 is 1/21272440

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

Greatest Common Factor of 119,269,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 119,269,965 By Matching Biggest Common Factor Method

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 119,269,965 . The biggest common factor number is the GCF number.
So the greatest common factor 119,269,965 is 1.

Lets's calculate LCM of 680,574,218

2 680, 574, 218
340, 287, 109

∴ So the LCM of the given numbers is 2 x 340 x 287 x 109 = 21272440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21272440

Therefore, the GCF of Fractions 119/680,269/574,965/218 is 1/21272440

Least Common Multiple of 680,574,218 with GCF Formula

Least Common Multiple of 680,574,218 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 680,574,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,574,218) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(680,574,218) x common factors =2 x 2 = 4

LCM(680,574,218) = ( 680 × 574 × 218 ) / 4

LCM(680,574,218) = 85089760 / 4

LCM(680,574,218) = 21272440


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 119/680, 269/574, 965/218

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 119/680, 269/574, 965/218?

Answer: GCF of Numerators as per given numbers 119/680, 269/574, 965/218 is

GCF of Numerators i.e. for 119,269,965 is 1

LCM of denominators i.e. for 680,574,218 is 21272440.

Thus, GCF of Fractions is 1/21272440.Finally, GCF of Fractions for 119/680, 269/574, 965/218 is 1/21272440.