Greatest Common Factor of 712/41, 292/5043

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 712/41, 292/5043

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 712/41,292/5043

Given fractions are 712/41,292/5043

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 712,292

Greatest Common Factor of Numerators i.e. GCF of 712,292 is 4 .

LCM of Denominators means LCM of 41,5043 as per the given fractions.

LCM of 41,5043 is 5043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 712,292

GCF of Fractions 712/41,292/5043 is 4/5043

2 712, 292
2 356, 146
178, 73

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 712,292 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,292 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Greatest Common Factor

We found the factors 712,292 . The biggest common factor number is the GCF number.
So the greatest common factor 712,292 is 4.

Lets's calculate LCM of 41,5043

41 41, 5043
1, 123

∴ So the LCM of the given numbers is 41 x 1 x 123 = 5043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5043

Therefore, the GCF of Fractions 712/41,292/5043 is 4/5043

Least Common Multiple of 41,5043 with GCF Formula

Least Common Multiple of 41,5043 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 41,5043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,5043) = 41

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

GCF(41,5043) x common factors =41 x 1 = 41

LCM(41,5043) = ( 41 × 5043 ) / 41

LCM(41,5043) = 206763 / 41

LCM(41,5043) = 5043


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 712/41, 292/5043

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 712/41, 292/5043?

Answer: GCF of Numerators as per given numbers 712/41, 292/5043 is

GCF of Numerators i.e. for 712,292 is 4

LCM of denominators i.e. for 41,5043 is 5043.

Thus, GCF of Fractions is 4/5043.Finally, GCF of Fractions for 712/41, 292/5043 is 4/5043.