Greatest Common Factor of 696/6896, 178/8324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/6896, 178/8324

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 696/6896,178/8324

Given fractions are 696/6896,178/8324

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 696,178

Greatest Common Factor of Numerators i.e. GCF of 696,178 is 2 .

LCM of Denominators means LCM of 6896,8324 as per the given fractions.

LCM of 6896,8324 is 14350576 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,178

GCF of Fractions 696/6896,178/8324 is 2/14350576

2 696, 178
348, 89

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

Greatest Common Factor of 696,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,178 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Greatest Common Factor

We found the factors 696,178 . The biggest common factor number is the GCF number.
So the greatest common factor 696,178 is 2.

Lets's calculate LCM of 6896,8324

2 6896, 8324
2 3448, 4162
1724, 2081

∴ So the LCM of the given numbers is 2 x 2 x 1724 x 2081 = 14350576

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14350576

Therefore, the GCF of Fractions 696/6896,178/8324 is 2/14350576

Least Common Multiple of 6896,8324 with GCF Formula

Least Common Multiple of 6896,8324 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 6896,8324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6896,8324) = 4

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

GCF(6896,8324) x common factors =4 x 1 = 4

LCM(6896,8324) = ( 6896 × 8324 ) / 4

LCM(6896,8324) = 57402304 / 4

LCM(6896,8324) = 14350576


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 696/6896, 178/8324

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 696/6896, 178/8324?

Answer: GCF of Numerators as per given numbers 696/6896, 178/8324 is

GCF of Numerators i.e. for 696,178 is 2

LCM of denominators i.e. for 6896,8324 is 14350576.

Thus, GCF of Fractions is 2/14350576.Finally, GCF of Fractions for 696/6896, 178/8324 is 2/14350576.