Greatest Common Factor of 8745/594, 9995/8838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8745/594, 9995/8838

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 8745/594,9995/8838

Given fractions are 8745/594,9995/8838

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 8745,9995

Greatest Common Factor of Numerators i.e. GCF of 8745,9995 is 5 .

LCM of Denominators means LCM of 594,8838 as per the given fractions.

LCM of 594,8838 is 291654 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8745,9995

GCF of Fractions 8745/594,9995/8838 is 5/291654

5 8745, 9995
1749, 1999

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8745,9995 By Matching Biggest Common Factor Method

Greatest Common Factor of 8745,9995 By Matching Biggest Common Factor Method

Factors of 8745

List of positive integer factors of 8745 that divides 8745 without a remainder.

1,3,5,11,15,33,53,55,159,165,265,583,795,1749,2915,8745

Factors of 9995

List of positive integer factors of 9995 that divides 9995 without a remainder.

1,5,1999,9995

Greatest Common Factor

We found the factors 8745,9995 . The biggest common factor number is the GCF number.
So the greatest common factor 8745,9995 is 5.

Lets's calculate LCM of 594,8838

2 594, 8838
3 297, 4419
3 99, 1473
33, 491

∴ So the LCM of the given numbers is 2 x 3 x 3 x 33 x 491 = 291654

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/291654

Therefore, the GCF of Fractions 8745/594,9995/8838 is 5/291654

Least Common Multiple of 594,8838 with GCF Formula

Least Common Multiple of 594,8838 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 594,8838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(594,8838) = 18

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

GCF(594,8838) x common factors =18 x 1 = 18

LCM(594,8838) = ( 594 × 8838 ) / 18

LCM(594,8838) = 5249772 / 18

LCM(594,8838) = 291654


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 8745/594, 9995/8838

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 8745/594, 9995/8838?

Answer: GCF of Numerators as per given numbers 8745/594, 9995/8838 is

GCF of Numerators i.e. for 8745,9995 is 5

LCM of denominators i.e. for 594,8838 is 291654.

Thus, GCF of Fractions is 5/291654.Finally, GCF of Fractions for 8745/594, 9995/8838 is 5/291654.