Greatest Common Factor of 714/221, 4386/7470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/221, 4386/7470

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 714/221,4386/7470

Given fractions are 714/221,4386/7470

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 714,4386

Greatest Common Factor of Numerators i.e. GCF of 714,4386 is 102 .

LCM of Denominators means LCM of 221,7470 as per the given fractions.

LCM of 221,7470 is 1650870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,4386

GCF of Fractions 714/221,4386/7470 is 102/1650870

2 714, 4386
3 357, 2193
17 119, 731
7, 43

∴ So the GCF of the given numbers is 2 x 3 x 17 = 102

Greatest Common Factor of 714,4386 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,4386 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 4386

List of positive integer factors of 4386 that divides 4386 without a remainder.

1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386

Greatest Common Factor

We found the factors 714,4386 . The biggest common factor number is the GCF number.
So the greatest common factor 714,4386 is 102.

Lets's calculate LCM of 221,7470

Given numbers has no common factors except 1. So, there LCM is their product i.e 1650870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/1650870

Therefore, the GCF of Fractions 714/221,4386/7470 is 102/1650870

Least Common Multiple of 221,7470 with GCF Formula

Least Common Multiple of 221,7470 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 221,7470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(221,7470) = 1

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

GCF(221,7470) x common factors =1 x 1 = 1

LCM(221,7470) = ( 221 × 7470 ) / 1

LCM(221,7470) = 1650870 / 1

LCM(221,7470) = 1650870


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 714/221, 4386/7470

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 714/221, 4386/7470?

Answer: GCF of Numerators as per given numbers 714/221, 4386/7470 is

GCF of Numerators i.e. for 714,4386 is 102

LCM of denominators i.e. for 221,7470 is 1650870.

Thus, GCF of Fractions is 102/1650870.Finally, GCF of Fractions for 714/221, 4386/7470 is 102/1650870.