Greatest Common Factor of 1544/741, 5995/853

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1544/741, 5995/853

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 1544/741,5995/853

Given fractions are 1544/741,5995/853

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 1544,5995

Greatest Common Factor of Numerators i.e. GCF of 1544,5995 is 1 .

LCM of Denominators means LCM of 741,853 as per the given fractions.

LCM of 741,853 is 632073 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1544,5995

GCF of Fractions 1544/741,5995/853 is 1/632073

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

Greatest Common Factor of 1544,5995 By Matching Biggest Common Factor Method

Greatest Common Factor of 1544,5995 By Matching Biggest Common Factor Method

Factors of 1544

List of positive integer factors of 1544 that divides 1544 without a remainder.

1,2,4,8,193,386,772,1544

Factors of 5995

List of positive integer factors of 5995 that divides 5995 without a remainder.

1,5,11,55,109,545,1199,5995

Greatest Common Factor

We found the factors 1544,5995 . The biggest common factor number is the GCF number.
So the greatest common factor 1544,5995 is 1.

Lets's calculate LCM of 741,853

Given numbers has no common factors except 1. So, there LCM is their product i.e 632073

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/632073

Therefore, the GCF of Fractions 1544/741,5995/853 is 1/632073

Least Common Multiple of 741,853 with GCF Formula

Least Common Multiple of 741,853 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 741,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,853) = 1

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

GCF(741,853) x common factors =1 x 1 = 1

LCM(741,853) = ( 741 × 853 ) / 1

LCM(741,853) = 632073 / 1

LCM(741,853) = 632073


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 1544/741, 5995/853

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 1544/741, 5995/853?

Answer: GCF of Numerators as per given numbers 1544/741, 5995/853 is

GCF of Numerators i.e. for 1544,5995 is 1

LCM of denominators i.e. for 741,853 is 632073.

Thus, GCF of Fractions is 1/632073.Finally, GCF of Fractions for 1544/741, 5995/853 is 1/632073.