Greatest Common Factor of 894/624, 4110/7182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/624, 4110/7182

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 894/624,4110/7182

Given fractions are 894/624,4110/7182

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 894,4110

Greatest Common Factor of Numerators i.e. GCF of 894,4110 is 6 .

LCM of Denominators means LCM of 624,7182 as per the given fractions.

LCM of 624,7182 is 746928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,4110

GCF of Fractions 894/624,4110/7182 is 6/746928

2 894, 4110
3 447, 2055
149, 685

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 894,4110 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,4110 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 4110

List of positive integer factors of 4110 that divides 4110 without a remainder.

1,2,3,5,6,10,15,30,137,274,411,685,822,1370,2055,4110

Greatest Common Factor

We found the factors 894,4110 . The biggest common factor number is the GCF number.
So the greatest common factor 894,4110 is 6.

Lets's calculate LCM of 624,7182

2 624, 7182
3 312, 3591
104, 1197

∴ So the LCM of the given numbers is 2 x 3 x 104 x 1197 = 746928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/746928

Therefore, the GCF of Fractions 894/624,4110/7182 is 6/746928

Least Common Multiple of 624,7182 with GCF Formula

Least Common Multiple of 624,7182 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 624,7182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,7182) = 6

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

GCF(624,7182) x common factors =6 x 1 = 6

LCM(624,7182) = ( 624 × 7182 ) / 6

LCM(624,7182) = 4481568 / 6

LCM(624,7182) = 746928


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 894/624, 4110/7182

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 894/624, 4110/7182?

Answer: GCF of Numerators as per given numbers 894/624, 4110/7182 is

GCF of Numerators i.e. for 894,4110 is 6

LCM of denominators i.e. for 624,7182 is 746928.

Thus, GCF of Fractions is 6/746928.Finally, GCF of Fractions for 894/624, 4110/7182 is 6/746928.