Greatest Common Factor of 5562/71, 1133/148

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5562/71, 1133/148

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 5562/71,1133/148

Given fractions are 5562/71,1133/148

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 5562,1133

Greatest Common Factor of Numerators i.e. GCF of 5562,1133 is 103 .

LCM of Denominators means LCM of 71,148 as per the given fractions.

LCM of 71,148 is 10508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5562,1133

GCF of Fractions 5562/71,1133/148 is 103/10508

103 5562, 1133
54, 11

∴ So the GCF of the given numbers is 103 = 103

Greatest Common Factor of 5562,1133 By Matching Biggest Common Factor Method

Greatest Common Factor of 5562,1133 By Matching Biggest Common Factor Method

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Factors of 1133

List of positive integer factors of 1133 that divides 1133 without a remainder.

1,11,103,1133

Greatest Common Factor

We found the factors 5562,1133 . The biggest common factor number is the GCF number.
So the greatest common factor 5562,1133 is 103.

Lets's calculate LCM of 71,148

Given numbers has no common factors except 1. So, there LCM is their product i.e 10508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/10508

Therefore, the GCF of Fractions 5562/71,1133/148 is 103/10508

Least Common Multiple of 71,148 with GCF Formula

Least Common Multiple of 71,148 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 71,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,148) = 1

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

GCF(71,148) x common factors =1 x 1 = 1

LCM(71,148) = ( 71 × 148 ) / 1

LCM(71,148) = 10508 / 1

LCM(71,148) = 10508


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 5562/71, 1133/148

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 5562/71, 1133/148?

Answer: GCF of Numerators as per given numbers 5562/71, 1133/148 is

GCF of Numerators i.e. for 5562,1133 is 103

LCM of denominators i.e. for 71,148 is 10508.

Thus, GCF of Fractions is 103/10508.Finally, GCF of Fractions for 5562/71, 1133/148 is 103/10508.