Greatest Common Factor of 11/42, 881/48, 633/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/42, 881/48, 633/835

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 11/42,881/48,633/835

Given fractions are 11/42,881/48,633/835

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 11,881,633

Greatest Common Factor of Numerators i.e. GCF of 11,881,633 is 1 .

LCM of Denominators means LCM of 42,48,835 as per the given fractions.

LCM of 42,48,835 is 280560 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,881,633

GCF of Fractions 11/42,881/48,633/835 is 1/280560

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

Greatest Common Factor of 11,881,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,881,633 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 881

List of positive integer factors of 881 that divides 881 without a remainder.

1,881

Factors of 633

List of positive integer factors of 633 that divides 633 without a remainder.

1,3,211,633

Greatest Common Factor

We found the factors 11,881,633 . The biggest common factor number is the GCF number.
So the greatest common factor 11,881,633 is 1.

Lets's calculate LCM of 42,48,835

2 42, 48, 835
3 21, 24, 835
7, 8, 835

∴ So the LCM of the given numbers is 2 x 3 x 7 x 8 x 835 = 280560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/280560

Therefore, the GCF of Fractions 11/42,881/48,633/835 is 1/280560

Least Common Multiple of 42,48,835 with GCF Formula

Least Common Multiple of 42,48,835 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 42,48,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,48,835) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(42,48,835) x common factors =1 x 6 = 6

LCM(42,48,835) = ( 42 × 48 × 835 ) / 6

LCM(42,48,835) = 1683360 / 6

LCM(42,48,835) = 280560


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 11/42, 881/48, 633/835

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 11/42, 881/48, 633/835?

Answer: GCF of Numerators as per given numbers 11/42, 881/48, 633/835 is

GCF of Numerators i.e. for 11,881,633 is 1

LCM of denominators i.e. for 42,48,835 is 280560.

Thus, GCF of Fractions is 1/280560.Finally, GCF of Fractions for 11/42, 881/48, 633/835 is 1/280560.