Greatest Common Factor of 855/49, 7315/741

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 855/49, 7315/741

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 855/49,7315/741

Given fractions are 855/49,7315/741

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 855,7315

Greatest Common Factor of Numerators i.e. GCF of 855,7315 is 95 .

LCM of Denominators means LCM of 49,741 as per the given fractions.

LCM of 49,741 is 36309 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 855,7315

GCF of Fractions 855/49,7315/741 is 95/36309

5 855, 7315
19 171, 1463
9, 77

∴ So the GCF of the given numbers is 5 x 19 = 95

Greatest Common Factor of 855,7315 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,7315 By Matching Biggest Common Factor Method

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Greatest Common Factor

We found the factors 855,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 855,7315 is 95.

Lets's calculate LCM of 49,741

Given numbers has no common factors except 1. So, there LCM is their product i.e 36309

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 95/36309

Therefore, the GCF of Fractions 855/49,7315/741 is 95/36309

Least Common Multiple of 49,741 with GCF Formula

Least Common Multiple of 49,741 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 49,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,741) = 1

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

GCF(49,741) x common factors =1 x 1 = 1

LCM(49,741) = ( 49 × 741 ) / 1

LCM(49,741) = 36309 / 1

LCM(49,741) = 36309


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 855/49, 7315/741

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 855/49, 7315/741?

Answer: GCF of Numerators as per given numbers 855/49, 7315/741 is

GCF of Numerators i.e. for 855,7315 is 95

LCM of denominators i.e. for 49,741 is 36309.

Thus, GCF of Fractions is 95/36309.Finally, GCF of Fractions for 855/49, 7315/741 is 95/36309.