Greatest Common Factor of 8892/782, 8412/8916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8892/782, 8412/8916

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 8892/782,8412/8916

Given fractions are 8892/782,8412/8916

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 8892,8412

Greatest Common Factor of Numerators i.e. GCF of 8892,8412 is 12 .

LCM of Denominators means LCM of 782,8916 as per the given fractions.

LCM of 782,8916 is 3486156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8892,8412

GCF of Fractions 8892/782,8412/8916 is 12/3486156

2 8892, 8412
2 4446, 4206
3 2223, 2103
741, 701

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Greatest Common Factor of 8892,8412 By Matching Biggest Common Factor Method

Greatest Common Factor of 8892,8412 By Matching Biggest Common Factor Method

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1,2,3,4,6,9,12,13,18,19,26,36,38,39,52,57,76,78,114,117,156,171,228,234,247,342,468,494,684,741,988,1482,2223,2964,4446,8892

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Greatest Common Factor

We found the factors 8892,8412 . The biggest common factor number is the GCF number.
So the greatest common factor 8892,8412 is 12.

Lets's calculate LCM of 782,8916

2 782, 8916
391, 4458

∴ So the LCM of the given numbers is 2 x 391 x 4458 = 3486156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/3486156

Therefore, the GCF of Fractions 8892/782,8412/8916 is 12/3486156

Least Common Multiple of 782,8916 with GCF Formula

Least Common Multiple of 782,8916 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 782,8916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,8916) = 2

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

GCF(782,8916) x common factors =2 x 1 = 2

LCM(782,8916) = ( 782 × 8916 ) / 2

LCM(782,8916) = 6972312 / 2

LCM(782,8916) = 3486156


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 8892/782, 8412/8916

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 8892/782, 8412/8916?

Answer: GCF of Numerators as per given numbers 8892/782, 8412/8916 is

GCF of Numerators i.e. for 8892,8412 is 12

LCM of denominators i.e. for 782,8916 is 3486156.

Thus, GCF of Fractions is 12/3486156.Finally, GCF of Fractions for 8892/782, 8412/8916 is 12/3486156.