Greatest Common Factor of 4/11, 35/11, 63/346, 563/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/11, 35/11, 63/346, 563/748

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 4/11,35/11,63/346,563/748

Given fractions are 4/11,35/11,63/346,563/748

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 4,35,63,563

Greatest Common Factor of Numerators i.e. GCF of 4,35,63,563 is 1 .

LCM of Denominators means LCM of 11,11,346,748 as per the given fractions.

LCM of 11,11,346,748 is 129404 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,35,63,563

GCF of Fractions 4/11,35/11,63/346,563/748 is 1/129404

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

Greatest Common Factor of 4,35,63,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,35,63,563 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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 4,35,63,563 . The biggest common factor number is the GCF number.
So the greatest common factor 4,35,63,563 is 1.

Lets's calculate LCM of 11,11,346,748

2 11, 11, 346, 748
11 11, 11, 173, 374
1, 1, 173, 34

∴ So the LCM of the given numbers is 2 x 11 x 1 x 1 x 173 x 34 = 129404

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/129404

Therefore, the GCF of Fractions 4/11,35/11,63/346,563/748 is 1/129404

Least Common Multiple of 11,11,346,748 with GCF Formula

Least Common Multiple of 11,11,346,748 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 11,11,346,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,11,346,748) = 1

common factors(in case of two or more numbers have common factors) = 242

GCF(11,11,346,748) x common factors =1 x 242 = 242

LCM(11,11,346,748) = ( 11 × 11 × 346 × 748 ) / 242

LCM(11,11,346,748) = 31315768 / 242

LCM(11,11,346,748) = 129404


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 4/11, 35/11, 63/346, 563/748

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 4/11, 35/11, 63/346, 563/748?

Answer: GCF of Numerators as per given numbers 4/11, 35/11, 63/346, 563/748 is

GCF of Numerators i.e. for 4,35,63,563 is 1

LCM of denominators i.e. for 11,11,346,748 is 129404.

Thus, GCF of Fractions is 1/129404.Finally, GCF of Fractions for 4/11, 35/11, 63/346, 563/748 is 1/129404.