Greatest Common Factor of 109/796, 799/310, 664/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 109/796, 799/310, 664/167

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 109/796,799/310,664/167

Given fractions are 109/796,799/310,664/167

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 109,799,664

Greatest Common Factor of Numerators i.e. GCF of 109,799,664 is 1 .

LCM of Denominators means LCM of 796,310,167 as per the given fractions.

LCM of 796,310,167 is 20604460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 109,799,664

GCF of Fractions 109/796,799/310,664/167 is 1/20604460

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

Greatest Common Factor of 109,799,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,799,664 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 109,799,664 . The biggest common factor number is the GCF number.
So the greatest common factor 109,799,664 is 1.

Lets's calculate LCM of 796,310,167

2 796, 310, 167
398, 155, 167

∴ So the LCM of the given numbers is 2 x 398 x 155 x 167 = 20604460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20604460

Therefore, the GCF of Fractions 109/796,799/310,664/167 is 1/20604460

Least Common Multiple of 796,310,167 with GCF Formula

Least Common Multiple of 796,310,167 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 796,310,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,310,167) = 1

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

GCF(796,310,167) x common factors =1 x 2 = 2

LCM(796,310,167) = ( 796 × 310 × 167 ) / 2

LCM(796,310,167) = 41208920 / 2

LCM(796,310,167) = 20604460


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 109/796, 799/310, 664/167

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 109/796, 799/310, 664/167?

Answer: GCF of Numerators as per given numbers 109/796, 799/310, 664/167 is

GCF of Numerators i.e. for 109,799,664 is 1

LCM of denominators i.e. for 796,310,167 is 20604460.

Thus, GCF of Fractions is 1/20604460.Finally, GCF of Fractions for 109/796, 799/310, 664/167 is 1/20604460.