Greatest Common Factor of 111/74, 851/85, 675/15

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 111/74, 851/85, 675/15

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 111/74,851/85,675/15

Given fractions are 111/74,851/85,675/15

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 111,851,675

Greatest Common Factor of Numerators i.e. GCF of 111,851,675 is 1 .

LCM of Denominators means LCM of 74,85,15 as per the given fractions.

LCM of 74,85,15 is 18870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 111,851,675

GCF of Fractions 111/74,851/85,675/15 is 1/18870

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

Greatest Common Factor of 111,851,675 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,851,675 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Greatest Common Factor

We found the factors 111,851,675 . The biggest common factor number is the GCF number.
So the greatest common factor 111,851,675 is 1.

Lets's calculate LCM of 74,85,15

5 74, 85, 15
74, 17, 3

∴ So the LCM of the given numbers is 5 x 74 x 17 x 3 = 18870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18870

Therefore, the GCF of Fractions 111/74,851/85,675/15 is 1/18870

Least Common Multiple of 74,85,15 with GCF Formula

Least Common Multiple of 74,85,15 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 74,85,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,85,15) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(74,85,15) x common factors =1 x 5 = 5

LCM(74,85,15) = ( 74 × 85 × 15 ) / 5

LCM(74,85,15) = 94350 / 5

LCM(74,85,15) = 18870


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 111/74, 851/85, 675/15

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 111/74, 851/85, 675/15?

Answer: GCF of Numerators as per given numbers 111/74, 851/85, 675/15 is

GCF of Numerators i.e. for 111,851,675 is 1

LCM of denominators i.e. for 74,85,15 is 18870.

Thus, GCF of Fractions is 1/18870.Finally, GCF of Fractions for 111/74, 851/85, 675/15 is 1/18870.