Greatest Common Factor of 380/842, 7696/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 380/842, 7696/829

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 380/842,7696/829

Given fractions are 380/842,7696/829

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 380,7696

Greatest Common Factor of Numerators i.e. GCF of 380,7696 is 4 .

LCM of Denominators means LCM of 842,829 as per the given fractions.

LCM of 842,829 is 698018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 380,7696

GCF of Fractions 380/842,7696/829 is 4/698018

2 380, 7696
2 190, 3848
95, 1924

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 380,7696 By Matching Biggest Common Factor Method

Greatest Common Factor of 380,7696 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 7696

List of positive integer factors of 7696 that divides 7696 without a remainder.

1,2,4,8,13,16,26,37,52,74,104,148,208,296,481,592,962,1924,3848,7696

Greatest Common Factor

We found the factors 380,7696 . The biggest common factor number is the GCF number.
So the greatest common factor 380,7696 is 4.

Lets's calculate LCM of 842,829

Given numbers has no common factors except 1. So, there LCM is their product i.e 698018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/698018

Therefore, the GCF of Fractions 380/842,7696/829 is 4/698018

Least Common Multiple of 842,829 with GCF Formula

Least Common Multiple of 842,829 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 842,829 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,829) = 1

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

GCF(842,829) x common factors =1 x 1 = 1

LCM(842,829) = ( 842 × 829 ) / 1

LCM(842,829) = 698018 / 1

LCM(842,829) = 698018


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 380/842, 7696/829

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 380/842, 7696/829?

Answer: GCF of Numerators as per given numbers 380/842, 7696/829 is

GCF of Numerators i.e. for 380,7696 is 4

LCM of denominators i.e. for 842,829 is 698018.

Thus, GCF of Fractions is 4/698018.Finally, GCF of Fractions for 380/842, 7696/829 is 4/698018.