Greatest Common Factor of 85/951, 49/333, 788/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 85/951, 49/333, 788/448

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 85/951,49/333,788/448

Given fractions are 85/951,49/333,788/448

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 85,49,788

Greatest Common Factor of Numerators i.e. GCF of 85,49,788 is 1 .

LCM of Denominators means LCM of 951,333,448 as per the given fractions.

LCM of 951,333,448 is 47291328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 85,49,788

GCF of Fractions 85/951,49/333,788/448 is 1/47291328

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

Greatest Common Factor of 85,49,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,49,788 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 49

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

1,7,49

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 85,49,788 . The biggest common factor number is the GCF number.
So the greatest common factor 85,49,788 is 1.

Lets's calculate LCM of 951,333,448

3 951, 333, 448
317, 111, 448

∴ So the LCM of the given numbers is 3 x 317 x 111 x 448 = 47291328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47291328

Therefore, the GCF of Fractions 85/951,49/333,788/448 is 1/47291328

Least Common Multiple of 951,333,448 with GCF Formula

Least Common Multiple of 951,333,448 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 951,333,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,333,448) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(951,333,448) x common factors =1 x 3 = 3

LCM(951,333,448) = ( 951 × 333 × 448 ) / 3

LCM(951,333,448) = 141873984 / 3

LCM(951,333,448) = 47291328


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 85/951, 49/333, 788/448

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 85/951, 49/333, 788/448?

Answer: GCF of Numerators as per given numbers 85/951, 49/333, 788/448 is

GCF of Numerators i.e. for 85,49,788 is 1

LCM of denominators i.e. for 951,333,448 is 47291328.

Thus, GCF of Fractions is 1/47291328.Finally, GCF of Fractions for 85/951, 49/333, 788/448 is 1/47291328.