Greatest Common Factor of 4/88, 55/27, 21/415, 381/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 4/88, 55/27, 21/415, 381/743

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 4/88,55/27,21/415,381/743

Given fractions are 4/88,55/27,21/415,381/743

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 4,55,21,381

Greatest Common Factor of Numerators i.e. GCF of 4,55,21,381 is 1 .

LCM of Denominators means LCM of 88,27,415,743 as per the given fractions.

LCM of 88,27,415,743 is 732627720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,55,21,381

GCF of Fractions 4/88,55/27,21/415,381/743 is 1/732627720

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

Greatest Common Factor of 4,55,21,381 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,55,21,381 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Greatest Common Factor

We found the factors 4,55,21,381 . The biggest common factor number is the GCF number.
So the greatest common factor 4,55,21,381 is 1.


Lets's calculate LCM of 88,27,415,743

Given numbers has no common factors except 1. So, there LCM is their product i.e 732627720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/732627720

Therefore, the GCF of Fractions 4/88,55/27,21/415,381/743 is 1/732627720

Least Common Multiple of 88,27,415,743 with GCF Formula

Least Common Multiple of 88,27,415,743 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 88,27,415,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,27,415,743) = 1

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

GCF(88,27,415,743) x common factors =1 x 1 = 1

LCM(88,27,415,743) = ( 88 × 27 × 415 × 743 ) / 1

LCM(88,27,415,743) = 732627720 / 1

LCM(88,27,415,743) = 732627720


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 4/88, 55/27, 21/415, 381/743

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 4/88, 55/27, 21/415, 381/743?

Answer: GCF of Numerators as per given numbers 4/88, 55/27, 21/415, 381/743 is

GCF of Numerators i.e. for 4,55,21,381 is 1

LCM of denominators i.e. for 88,27,415,743 is 732627720.

Thus, GCF of Fractions is 1/732627720.Finally, GCF of Fractions for 4/88, 55/27, 21/415, 381/743 is 1/732627720.