Greatest Common Factor of 5446/11, 7046/107

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5446/11, 7046/107

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 5446/11,7046/107

Given fractions are 5446/11,7046/107

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 5446,7046

Greatest Common Factor of Numerators i.e. GCF of 5446,7046 is 2 .

LCM of Denominators means LCM of 11,107 as per the given fractions.

LCM of 11,107 is 1177 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5446,7046

GCF of Fractions 5446/11,7046/107 is 2/1177

2 5446, 7046
2723, 3523

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

Greatest Common Factor of 5446,7046 By Matching Biggest Common Factor Method

Greatest Common Factor of 5446,7046 By Matching Biggest Common Factor Method

Factors of 5446

List of positive integer factors of 5446 that divides 5446 without a remainder.

1,2,7,14,389,778,2723,5446

Factors of 7046

List of positive integer factors of 7046 that divides 7046 without a remainder.

1,2,13,26,271,542,3523,7046

Greatest Common Factor

We found the factors 5446,7046 . The biggest common factor number is the GCF number.
So the greatest common factor 5446,7046 is 2.

Lets's calculate LCM of 11,107

Given numbers has no common factors except 1. So, there LCM is their product i.e 1177

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1177

Therefore, the GCF of Fractions 5446/11,7046/107 is 2/1177

Least Common Multiple of 11,107 with GCF Formula

Least Common Multiple of 11,107 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 11,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,107) = 1

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

GCF(11,107) x common factors =1 x 1 = 1

LCM(11,107) = ( 11 × 107 ) / 1

LCM(11,107) = 1177 / 1

LCM(11,107) = 1177


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 5446/11, 7046/107

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 5446/11, 7046/107?

Answer: GCF of Numerators as per given numbers 5446/11, 7046/107 is

GCF of Numerators i.e. for 5446,7046 is 2

LCM of denominators i.e. for 11,107 is 1177.

Thus, GCF of Fractions is 2/1177.Finally, GCF of Fractions for 5446/11, 7046/107 is 2/1177.