Greatest Common Factor of 4/21, 67/38, 15/407, 888/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/21, 67/38, 15/407, 888/742

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 4/21,67/38,15/407,888/742

Given fractions are 4/21,67/38,15/407,888/742

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 4,67,15,888

Greatest Common Factor of Numerators i.e. GCF of 4,67,15,888 is 1 .

LCM of Denominators means LCM of 21,38,407,742 as per the given fractions.

LCM of 21,38,407,742 is 17213658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,67,15,888

GCF of Fractions 4/21,67/38,15/407,888/742 is 1/17213658

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

Greatest Common Factor of 4,67,15,888 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,67,15,888 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 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 15

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

1,3,5,15

Factors of 888

List of positive integer factors of 888 that divides 888 without a remainder.

1,2,3,4,6,8,12,24,37,74,111,148,222,296,444,888

Greatest Common Factor

We found the factors 4,67,15,888 . The biggest common factor number is the GCF number.
So the greatest common factor 4,67,15,888 is 1.

Lets's calculate LCM of 21,38,407,742

2 21, 38, 407, 742
7 21, 19, 407, 371
3, 19, 407, 53

∴ So the LCM of the given numbers is 2 x 7 x 3 x 19 x 407 x 53 = 17213658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17213658

Therefore, the GCF of Fractions 4/21,67/38,15/407,888/742 is 1/17213658

Least Common Multiple of 21,38,407,742 with GCF Formula

Least Common Multiple of 21,38,407,742 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 21,38,407,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,38,407,742) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(21,38,407,742) x common factors =1 x 14 = 14

LCM(21,38,407,742) = ( 21 × 38 × 407 × 742 ) / 14

LCM(21,38,407,742) = 240991212 / 14

LCM(21,38,407,742) = 17213658


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 4/21, 67/38, 15/407, 888/742

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 4/21, 67/38, 15/407, 888/742?

Answer: GCF of Numerators as per given numbers 4/21, 67/38, 15/407, 888/742 is

GCF of Numerators i.e. for 4,67,15,888 is 1

LCM of denominators i.e. for 21,38,407,742 is 17213658.

Thus, GCF of Fractions is 1/17213658.Finally, GCF of Fractions for 4/21, 67/38, 15/407, 888/742 is 1/17213658.