Greatest Common Factor of 7856/812, 8208/392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7856/812, 8208/392

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 7856/812,8208/392

Given fractions are 7856/812,8208/392

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 7856,8208

Greatest Common Factor of Numerators i.e. GCF of 7856,8208 is 16 .

LCM of Denominators means LCM of 812,392 as per the given fractions.

LCM of 812,392 is 11368 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7856,8208

GCF of Fractions 7856/812,8208/392 is 16/11368

2 7856, 8208
2 3928, 4104
2 1964, 2052
2 982, 1026
491, 513

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 7856,8208 By Matching Biggest Common Factor Method

Greatest Common Factor of 7856,8208 By Matching Biggest Common Factor Method

Factors of 7856

List of positive integer factors of 7856 that divides 7856 without a remainder.

1,2,4,8,16,491,982,1964,3928,7856

Factors of 8208

List of positive integer factors of 8208 that divides 8208 without a remainder.

1,2,3,4,6,8,9,12,16,18,19,24,27,36,38,48,54,57,72,76,108,114,144,152,171,216,228,304,342,432,456,513,684,912,1026,1368,2052,2736,4104,8208

Greatest Common Factor

We found the factors 7856,8208 . The biggest common factor number is the GCF number.
So the greatest common factor 7856,8208 is 16.

Lets's calculate LCM of 812,392

2 812, 392
2 406, 196
7 203, 98
29, 14

∴ So the LCM of the given numbers is 2 x 2 x 7 x 29 x 14 = 11368

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/11368

Therefore, the GCF of Fractions 7856/812,8208/392 is 16/11368

Least Common Multiple of 812,392 with GCF Formula

Least Common Multiple of 812,392 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 812,392 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,392) = 28

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

GCF(812,392) x common factors =28 x 1 = 28

LCM(812,392) = ( 812 × 392 ) / 28

LCM(812,392) = 318304 / 28

LCM(812,392) = 11368


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 7856/812, 8208/392

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 7856/812, 8208/392?

Answer: GCF of Numerators as per given numbers 7856/812, 8208/392 is

GCF of Numerators i.e. for 7856,8208 is 16

LCM of denominators i.e. for 812,392 is 11368.

Thus, GCF of Fractions is 16/11368.Finally, GCF of Fractions for 7856/812, 8208/392 is 16/11368.