Greatest Common Factor of 7342/85, 9500/778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7342/85, 9500/778

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 7342/85,9500/778

Given fractions are 7342/85,9500/778

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 7342,9500

Greatest Common Factor of Numerators i.e. GCF of 7342,9500 is 2 .

LCM of Denominators means LCM of 85,778 as per the given fractions.

LCM of 85,778 is 66130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7342,9500

GCF of Fractions 7342/85,9500/778 is 2/66130

2 7342, 9500
3671, 4750

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

Greatest Common Factor of 7342,9500 By Matching Biggest Common Factor Method

Greatest Common Factor of 7342,9500 By Matching Biggest Common Factor Method

Factors of 7342

List of positive integer factors of 7342 that divides 7342 without a remainder.

1,2,3671,7342

Factors of 9500

List of positive integer factors of 9500 that divides 9500 without a remainder.

1,2,4,5,10,19,20,25,38,50,76,95,100,125,190,250,380,475,500,950,1900,2375,4750,9500

Greatest Common Factor

We found the factors 7342,9500 . The biggest common factor number is the GCF number.
So the greatest common factor 7342,9500 is 2.

Lets's calculate LCM of 85,778

Given numbers has no common factors except 1. So, there LCM is their product i.e 66130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/66130

Therefore, the GCF of Fractions 7342/85,9500/778 is 2/66130

Least Common Multiple of 85,778 with GCF Formula

Least Common Multiple of 85,778 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 85,778 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,778) = 1

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

GCF(85,778) x common factors =1 x 1 = 1

LCM(85,778) = ( 85 × 778 ) / 1

LCM(85,778) = 66130 / 1

LCM(85,778) = 66130


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 7342/85, 9500/778

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 7342/85, 9500/778?

Answer: GCF of Numerators as per given numbers 7342/85, 9500/778 is

GCF of Numerators i.e. for 7342,9500 is 2

LCM of denominators i.e. for 85,778 is 66130.

Thus, GCF of Fractions is 2/66130.Finally, GCF of Fractions for 7342/85, 9500/778 is 2/66130.