Greatest Common Factor of 855/56, 247/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 855/56, 247/174

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 855/56,247/174

Given fractions are 855/56,247/174

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 855,247

Greatest Common Factor of Numerators i.e. GCF of 855,247 is 19 .

LCM of Denominators means LCM of 56,174 as per the given fractions.

LCM of 56,174 is 4872 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 855,247

GCF of Fractions 855/56,247/174 is 19/4872

19 855, 247
45, 13

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 855,247 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,247 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 247

List of positive integer factors of 247 that divides 247 without a remainder.

1,13,19,247

Greatest Common Factor

We found the factors 855,247 . The biggest common factor number is the GCF number.
So the greatest common factor 855,247 is 19.

Lets's calculate LCM of 56,174

2 56, 174
28, 87

∴ So the LCM of the given numbers is 2 x 28 x 87 = 4872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/4872

Therefore, the GCF of Fractions 855/56,247/174 is 19/4872

Least Common Multiple of 56,174 with GCF Formula

Least Common Multiple of 56,174 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 56,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,174) = 2

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

GCF(56,174) x common factors =2 x 1 = 2

LCM(56,174) = ( 56 × 174 ) / 2

LCM(56,174) = 9744 / 2

LCM(56,174) = 4872


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 855/56, 247/174

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 855/56, 247/174?

Answer: GCF of Numerators as per given numbers 855/56, 247/174 is

GCF of Numerators i.e. for 855,247 is 19

LCM of denominators i.e. for 56,174 is 4872.

Thus, GCF of Fractions is 19/4872.Finally, GCF of Fractions for 855/56, 247/174 is 19/4872.