Greatest Common Factor of 7026/386, 4568/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7026/386, 4568/354

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 7026/386,4568/354

Given fractions are 7026/386,4568/354

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 7026,4568

Greatest Common Factor of Numerators i.e. GCF of 7026,4568 is 2 .

LCM of Denominators means LCM of 386,354 as per the given fractions.

LCM of 386,354 is 68322 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7026,4568

GCF of Fractions 7026/386,4568/354 is 2/68322

2 7026, 4568
3513, 2284

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7026,4568 By Matching Biggest Common Factor Method

Greatest Common Factor of 7026,4568 By Matching Biggest Common Factor Method

Factors of 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1,2,3,6,1171,2342,3513,7026

Factors of 4568

List of positive integer factors of 4568 that divides 4568 without a remainder.

1,2,4,8,571,1142,2284,4568

Greatest Common Factor

We found the factors 7026,4568 . The biggest common factor number is the GCF number.
So the greatest common factor 7026,4568 is 2.

Lets's calculate LCM of 386,354

2 386, 354
193, 177

∴ So the LCM of the given numbers is 2 x 193 x 177 = 68322

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68322

Therefore, the GCF of Fractions 7026/386,4568/354 is 2/68322

Least Common Multiple of 386,354 with GCF Formula

Least Common Multiple of 386,354 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 386,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(386,354) = 2

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

GCF(386,354) x common factors =2 x 1 = 2

LCM(386,354) = ( 386 × 354 ) / 2

LCM(386,354) = 136644 / 2

LCM(386,354) = 68322


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 7026/386, 4568/354

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 7026/386, 4568/354?

Answer: GCF of Numerators as per given numbers 7026/386, 4568/354 is

GCF of Numerators i.e. for 7026,4568 is 2

LCM of denominators i.e. for 386,354 is 68322.

Thus, GCF of Fractions is 2/68322.Finally, GCF of Fractions for 7026/386, 4568/354 is 2/68322.