Greatest Common Factor of 14/851, 273/740, 755/253

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 14/851, 273/740, 755/253

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 14/851,273/740,755/253

Given fractions are 14/851,273/740,755/253

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 14,273,755

Greatest Common Factor of Numerators i.e. GCF of 14,273,755 is 1 .

LCM of Denominators means LCM of 851,740,253 as per the given fractions.

LCM of 851,740,253 is 187220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 14,273,755

GCF of Fractions 14/851,273/740,755/253 is 1/187220

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 14,273,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,273,755 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 14,273,755 . The biggest common factor number is the GCF number.
So the greatest common factor 14,273,755 is 1.

Lets's calculate LCM of 851,740,253

23 851, 740, 253
37 37, 740, 11
1, 20, 11

∴ So the LCM of the given numbers is 23 x 37 x 1 x 20 x 11 = 187220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/187220

Therefore, the GCF of Fractions 14/851,273/740,755/253 is 1/187220

Least Common Multiple of 851,740,253 with GCF Formula

Least Common Multiple of 851,740,253 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 851,740,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(851,740,253) = 1

common factors(in case of two or more numbers have common factors) = 851

GCF(851,740,253) x common factors =1 x 851 = 851

LCM(851,740,253) = ( 851 × 740 × 253 ) / 851

LCM(851,740,253) = 159324220 / 851

LCM(851,740,253) = 187220


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 14/851, 273/740, 755/253

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 14/851, 273/740, 755/253?

Answer: GCF of Numerators as per given numbers 14/851, 273/740, 755/253 is

GCF of Numerators i.e. for 14,273,755 is 1

LCM of denominators i.e. for 851,740,253 is 187220.

Thus, GCF of Fractions is 1/187220.Finally, GCF of Fractions for 14/851, 273/740, 755/253 is 1/187220.