Greatest Common Factor of 714/896, 792/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/896, 792/308

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 714/896,792/308

Given fractions are 714/896,792/308

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 714,792

Greatest Common Factor of Numerators i.e. GCF of 714,792 is 6 .

LCM of Denominators means LCM of 896,308 as per the given fractions.

LCM of 896,308 is 9856 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,792

GCF of Fractions 714/896,792/308 is 6/9856

2 714, 792
3 357, 396
119, 132

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

Greatest Common Factor of 714,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,792 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 714,792 . The biggest common factor number is the GCF number.
So the greatest common factor 714,792 is 6.

Lets's calculate LCM of 896,308

2 896, 308
2 448, 154
7 224, 77
32, 11

∴ So the LCM of the given numbers is 2 x 2 x 7 x 32 x 11 = 9856

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/9856

Therefore, the GCF of Fractions 714/896,792/308 is 6/9856

Least Common Multiple of 896,308 with GCF Formula

Least Common Multiple of 896,308 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 896,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(896,308) = 28

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

GCF(896,308) x common factors =28 x 1 = 28

LCM(896,308) = ( 896 × 308 ) / 28

LCM(896,308) = 275968 / 28

LCM(896,308) = 9856


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 714/896, 792/308

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 714/896, 792/308?

Answer: GCF of Numerators as per given numbers 714/896, 792/308 is

GCF of Numerators i.e. for 714,792 is 6

LCM of denominators i.e. for 896,308 is 9856.

Thus, GCF of Fractions is 6/9856.Finally, GCF of Fractions for 714/896, 792/308 is 6/9856.