Greatest Common Factor of 605/95, 847/3785

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/95, 847/3785

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 605/95,847/3785

Given fractions are 605/95,847/3785

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 605,847

Greatest Common Factor of Numerators i.e. GCF of 605,847 is 121 .

LCM of Denominators means LCM of 95,3785 as per the given fractions.

LCM of 95,3785 is 71915 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,847

GCF of Fractions 605/95,847/3785 is 121/71915

11 605, 847
11 55, 77
5, 7

∴ So the GCF of the given numbers is 11 x 11 = 121

Greatest Common Factor of 605,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,847 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 605,847 . The biggest common factor number is the GCF number.
So the greatest common factor 605,847 is 121.

Lets's calculate LCM of 95,3785

5 95, 3785
19, 757

∴ So the LCM of the given numbers is 5 x 19 x 757 = 71915

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 121/71915

Therefore, the GCF of Fractions 605/95,847/3785 is 121/71915

Least Common Multiple of 95,3785 with GCF Formula

Least Common Multiple of 95,3785 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 95,3785 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,3785) = 5

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

GCF(95,3785) x common factors =5 x 1 = 5

LCM(95,3785) = ( 95 × 3785 ) / 5

LCM(95,3785) = 359575 / 5

LCM(95,3785) = 71915


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 605/95, 847/3785

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 605/95, 847/3785?

Answer: GCF of Numerators as per given numbers 605/95, 847/3785 is

GCF of Numerators i.e. for 605,847 is 121

LCM of denominators i.e. for 95,3785 is 71915.

Thus, GCF of Fractions is 121/71915.Finally, GCF of Fractions for 605/95, 847/3785 is 121/71915.