Greatest Common Factor of 84/391, 49/203, 865/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/391, 49/203, 865/262

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 84/391,49/203,865/262

Given fractions are 84/391,49/203,865/262

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 84,49,865

Greatest Common Factor of Numerators i.e. GCF of 84,49,865 is 1 .

LCM of Denominators means LCM of 391,203,262 as per the given fractions.

LCM of 391,203,262 is 20795726 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,49,865

GCF of Fractions 84/391,49/203,865/262 is 1/20795726

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

Greatest Common Factor of 84,49,865 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,49,865 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Greatest Common Factor

We found the factors 84,49,865 . The biggest common factor number is the GCF number.
So the greatest common factor 84,49,865 is 1.

Lets's calculate LCM of 391,203,262

Given numbers has no common factors except 1. So, there LCM is their product i.e 20795726

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20795726

Therefore, the GCF of Fractions 84/391,49/203,865/262 is 1/20795726

Least Common Multiple of 391,203,262 with GCF Formula

Least Common Multiple of 391,203,262 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 391,203,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,203,262) = 1

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

GCF(391,203,262) x common factors =1 x 1 = 1

LCM(391,203,262) = ( 391 × 203 × 262 ) / 1

LCM(391,203,262) = 20795726 / 1

LCM(391,203,262) = 20795726


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 84/391, 49/203, 865/262

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 84/391, 49/203, 865/262?

Answer: GCF of Numerators as per given numbers 84/391, 49/203, 865/262 is

GCF of Numerators i.e. for 84,49,865 is 1

LCM of denominators i.e. for 391,203,262 is 20795726.

Thus, GCF of Fractions is 1/20795726.Finally, GCF of Fractions for 84/391, 49/203, 865/262 is 1/20795726.