Greatest Common Factor of 117/42, 633/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 117/42, 633/467

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 117/42,633/467

Given fractions are 117/42,633/467

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 117,633

Greatest Common Factor of Numerators i.e. GCF of 117,633 is 3 .

LCM of Denominators means LCM of 42,467 as per the given fractions.

LCM of 42,467 is 19614 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 117,633

GCF of Fractions 117/42,633/467 is 3/19614

3 117, 633
39, 211

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 117,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,633 By Matching Biggest Common Factor Method

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

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 117,633 . The biggest common factor number is the GCF number.
So the greatest common factor 117,633 is 3.

Lets's calculate LCM of 42,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 19614

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/19614

Therefore, the GCF of Fractions 117/42,633/467 is 3/19614

Least Common Multiple of 42,467 with GCF Formula

Least Common Multiple of 42,467 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 42,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,467) = 1

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

GCF(42,467) x common factors =1 x 1 = 1

LCM(42,467) = ( 42 × 467 ) / 1

LCM(42,467) = 19614 / 1

LCM(42,467) = 19614


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 117/42, 633/467

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 117/42, 633/467?

Answer: GCF of Numerators as per given numbers 117/42, 633/467 is

GCF of Numerators i.e. for 117,633 is 3

LCM of denominators i.e. for 42,467 is 19614.

Thus, GCF of Fractions is 3/19614.Finally, GCF of Fractions for 117/42, 633/467 is 3/19614.