Greatest Common Factor of 867/495, 1065/680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 867/495, 1065/680

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 867/495,1065/680

Given fractions are 867/495,1065/680

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 867,1065

Greatest Common Factor of Numerators i.e. GCF of 867,1065 is 3 .

LCM of Denominators means LCM of 495,680 as per the given fractions.

LCM of 495,680 is 67320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 867,1065

GCF of Fractions 867/495,1065/680 is 3/67320

3 867, 1065
289, 355

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 867,1065 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,1065 By Matching Biggest Common Factor Method

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1,3,5,15,71,213,355,1065

Greatest Common Factor

We found the factors 867,1065 . The biggest common factor number is the GCF number.
So the greatest common factor 867,1065 is 3.

Lets's calculate LCM of 495,680

5 495, 680
99, 136

∴ So the LCM of the given numbers is 5 x 99 x 136 = 67320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67320

Therefore, the GCF of Fractions 867/495,1065/680 is 3/67320

Least Common Multiple of 495,680 with GCF Formula

Least Common Multiple of 495,680 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 495,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,680) = 5

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

GCF(495,680) x common factors =5 x 1 = 5

LCM(495,680) = ( 495 × 680 ) / 5

LCM(495,680) = 336600 / 5

LCM(495,680) = 67320


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 867/495, 1065/680

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 867/495, 1065/680?

Answer: GCF of Numerators as per given numbers 867/495, 1065/680 is

GCF of Numerators i.e. for 867,1065 is 3

LCM of denominators i.e. for 495,680 is 67320.

Thus, GCF of Fractions is 3/67320.Finally, GCF of Fractions for 867/495, 1065/680 is 3/67320.