Greatest Common Factor of 680/83, 614/88, 412/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 680/83, 614/88, 412/165

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 680/83,614/88,412/165

Given fractions are 680/83,614/88,412/165

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 680,614,412

Greatest Common Factor of Numerators i.e. GCF of 680,614,412 is 2 .

LCM of Denominators means LCM of 83,88,165 as per the given fractions.

LCM of 83,88,165 is 109560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 680,614,412

GCF of Fractions 680/83,614/88,412/165 is 2/109560

2 680, 614, 412
340, 307, 206

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 680,614,412 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,614,412 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Greatest Common Factor

We found the factors 680,614,412 . The biggest common factor number is the GCF number.
So the greatest common factor 680,614,412 is 2.

Lets's calculate LCM of 83,88,165

11 83, 88, 165
83, 8, 15

∴ So the LCM of the given numbers is 11 x 83 x 8 x 15 = 109560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/109560

Therefore, the GCF of Fractions 680/83,614/88,412/165 is 2/109560

Least Common Multiple of 83,88,165 with GCF Formula

Least Common Multiple of 83,88,165 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 83,88,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,88,165) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(83,88,165) x common factors =1 x 11 = 11

LCM(83,88,165) = ( 83 × 88 × 165 ) / 11

LCM(83,88,165) = 1205160 / 11

LCM(83,88,165) = 109560


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 680/83, 614/88, 412/165

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 680/83, 614/88, 412/165?

Answer: GCF of Numerators as per given numbers 680/83, 614/88, 412/165 is

GCF of Numerators i.e. for 680,614,412 is 2

LCM of denominators i.e. for 83,88,165 is 109560.

Thus, GCF of Fractions is 2/109560.Finally, GCF of Fractions for 680/83, 614/88, 412/165 is 2/109560.