Greatest Common Factor of 70/38, 15/33, 867/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/38, 15/33, 867/424

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 70/38,15/33,867/424

Given fractions are 70/38,15/33,867/424

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 70,15,867

Greatest Common Factor of Numerators i.e. GCF of 70,15,867 is 1 .

LCM of Denominators means LCM of 38,33,424 as per the given fractions.

LCM of 38,33,424 is 265848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,15,867

GCF of Fractions 70/38,15/33,867/424 is 1/265848

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

Greatest Common Factor of 70,15,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,15,867 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 70,15,867 . The biggest common factor number is the GCF number.
So the greatest common factor 70,15,867 is 1.

Lets's calculate LCM of 38,33,424

2 38, 33, 424
19, 33, 212

∴ So the LCM of the given numbers is 2 x 19 x 33 x 212 = 265848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265848

Therefore, the GCF of Fractions 70/38,15/33,867/424 is 1/265848

Least Common Multiple of 38,33,424 with GCF Formula

Least Common Multiple of 38,33,424 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 38,33,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,33,424) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,33,424) x common factors =1 x 2 = 2

LCM(38,33,424) = ( 38 × 33 × 424 ) / 2

LCM(38,33,424) = 531696 / 2

LCM(38,33,424) = 265848


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 70/38, 15/33, 867/424

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 70/38, 15/33, 867/424?

Answer: GCF of Numerators as per given numbers 70/38, 15/33, 867/424 is

GCF of Numerators i.e. for 70,15,867 is 1

LCM of denominators i.e. for 38,33,424 is 265848.

Thus, GCF of Fractions is 1/265848.Finally, GCF of Fractions for 70/38, 15/33, 867/424 is 1/265848.