Greatest Common Factor of 1469/716, 2444/541

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1469/716, 2444/541

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 1469/716,2444/541

Given fractions are 1469/716,2444/541

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 1469,2444

Greatest Common Factor of Numerators i.e. GCF of 1469,2444 is 13 .

LCM of Denominators means LCM of 716,541 as per the given fractions.

LCM of 716,541 is 387356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1469,2444

GCF of Fractions 1469/716,2444/541 is 13/387356

13 1469, 2444
113, 188

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 1469,2444 By Matching Biggest Common Factor Method

Greatest Common Factor of 1469,2444 By Matching Biggest Common Factor Method

Factors of 1469

List of positive integer factors of 1469 that divides 1469 without a remainder.

1,13,113,1469

Factors of 2444

List of positive integer factors of 2444 that divides 2444 without a remainder.

1,2,4,13,26,47,52,94,188,611,1222,2444

Greatest Common Factor

We found the factors 1469,2444 . The biggest common factor number is the GCF number.
So the greatest common factor 1469,2444 is 13.

Lets's calculate LCM of 716,541

Given numbers has no common factors except 1. So, there LCM is their product i.e 387356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/387356

Therefore, the GCF of Fractions 1469/716,2444/541 is 13/387356

Least Common Multiple of 716,541 with GCF Formula

Least Common Multiple of 716,541 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 716,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,541) = 1

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

GCF(716,541) x common factors =1 x 1 = 1

LCM(716,541) = ( 716 × 541 ) / 1

LCM(716,541) = 387356 / 1

LCM(716,541) = 387356


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 1469/716, 2444/541

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 1469/716, 2444/541?

Answer: GCF of Numerators as per given numbers 1469/716, 2444/541 is

GCF of Numerators i.e. for 1469,2444 is 13

LCM of denominators i.e. for 716,541 is 387356.

Thus, GCF of Fractions is 13/387356.Finally, GCF of Fractions for 1469/716, 2444/541 is 13/387356.