Greatest Common Factor of 5967/43, 8903/830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5967/43, 8903/830

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 5967/43,8903/830

Given fractions are 5967/43,8903/830

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 5967,8903

Greatest Common Factor of Numerators i.e. GCF of 5967,8903 is 1 .

LCM of Denominators means LCM of 43,830 as per the given fractions.

LCM of 43,830 is 35690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5967,8903

GCF of Fractions 5967/43,8903/830 is 1/35690

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

Greatest Common Factor of 5967,8903 By Matching Biggest Common Factor Method

Greatest Common Factor of 5967,8903 By Matching Biggest Common Factor Method

Factors of 5967

List of positive integer factors of 5967 that divides 5967 without a remainder.

1,3,9,13,17,27,39,51,117,153,221,351,459,663,1989,5967

Factors of 8903

List of positive integer factors of 8903 that divides 8903 without a remainder.

1,29,307,8903

Greatest Common Factor

We found the factors 5967,8903 . The biggest common factor number is the GCF number.
So the greatest common factor 5967,8903 is 1.

Lets's calculate LCM of 43,830

Given numbers has no common factors except 1. So, there LCM is their product i.e 35690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35690

Therefore, the GCF of Fractions 5967/43,8903/830 is 1/35690

Least Common Multiple of 43,830 with GCF Formula

Least Common Multiple of 43,830 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 43,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,830) = 1

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

GCF(43,830) x common factors =1 x 1 = 1

LCM(43,830) = ( 43 × 830 ) / 1

LCM(43,830) = 35690 / 1

LCM(43,830) = 35690


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 5967/43, 8903/830

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 5967/43, 8903/830?

Answer: GCF of Numerators as per given numbers 5967/43, 8903/830 is

GCF of Numerators i.e. for 5967,8903 is 1

LCM of denominators i.e. for 43,830 is 35690.

Thus, GCF of Fractions is 1/35690.Finally, GCF of Fractions for 5967/43, 8903/830 is 1/35690.