Greatest Common Factor of 1113/87, 1173/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1113/87, 1173/388

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 1113/87,1173/388

Given fractions are 1113/87,1173/388

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 1113,1173

Greatest Common Factor of Numerators i.e. GCF of 1113,1173 is 3 .

LCM of Denominators means LCM of 87,388 as per the given fractions.

LCM of 87,388 is 33756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1113,1173

GCF of Fractions 1113/87,1173/388 is 3/33756

3 1113, 1173
371, 391

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

Greatest Common Factor of 1113,1173 By Matching Biggest Common Factor Method

Greatest Common Factor of 1113,1173 By Matching Biggest Common Factor Method

Factors of 1113

List of positive integer factors of 1113 that divides 1113 without a remainder.

1,3,7,21,53,159,371,1113

Factors of 1173

List of positive integer factors of 1173 that divides 1173 without a remainder.

1,3,17,23,51,69,391,1173

Greatest Common Factor

We found the factors 1113,1173 . The biggest common factor number is the GCF number.
So the greatest common factor 1113,1173 is 3.

Lets's calculate LCM of 87,388

Given numbers has no common factors except 1. So, there LCM is their product i.e 33756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/33756

Therefore, the GCF of Fractions 1113/87,1173/388 is 3/33756

Least Common Multiple of 87,388 with GCF Formula

Least Common Multiple of 87,388 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 87,388 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,388) = 1

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

GCF(87,388) x common factors =1 x 1 = 1

LCM(87,388) = ( 87 × 388 ) / 1

LCM(87,388) = 33756 / 1

LCM(87,388) = 33756


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 1113/87, 1173/388

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 1113/87, 1173/388?

Answer: GCF of Numerators as per given numbers 1113/87, 1173/388 is

GCF of Numerators i.e. for 1113,1173 is 3

LCM of denominators i.e. for 87,388 is 33756.

Thus, GCF of Fractions is 3/33756.Finally, GCF of Fractions for 1113/87, 1173/388 is 3/33756.