Greatest Common Factor of 696/6348, 288/3332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 696/6348, 288/3332

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 696/6348,288/3332

Given fractions are 696/6348,288/3332

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 696,288

Greatest Common Factor of Numerators i.e. GCF of 696,288 is 24 .

LCM of Denominators means LCM of 6348,3332 as per the given fractions.

LCM of 6348,3332 is 5287884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 696,288

GCF of Fractions 696/6348,288/3332 is 24/5287884

2 696, 288
2 348, 144
2 174, 72
3 87, 36
29, 12

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 696,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,288 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 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 696,288 . The biggest common factor number is the GCF number.
So the greatest common factor 696,288 is 24.

Lets's calculate LCM of 6348,3332

2 6348, 3332
2 3174, 1666
1587, 833

∴ So the LCM of the given numbers is 2 x 2 x 1587 x 833 = 5287884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/5287884

Therefore, the GCF of Fractions 696/6348,288/3332 is 24/5287884

Least Common Multiple of 6348,3332 with GCF Formula

Least Common Multiple of 6348,3332 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 6348,3332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6348,3332) = 4

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

GCF(6348,3332) x common factors =4 x 1 = 4

LCM(6348,3332) = ( 6348 × 3332 ) / 4

LCM(6348,3332) = 21151536 / 4

LCM(6348,3332) = 5287884


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 696/6348, 288/3332

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 696/6348, 288/3332?

Answer: GCF of Numerators as per given numbers 696/6348, 288/3332 is

GCF of Numerators i.e. for 696,288 is 24

LCM of denominators i.e. for 6348,3332 is 5287884.

Thus, GCF of Fractions is 24/5287884.Finally, GCF of Fractions for 696/6348, 288/3332 is 24/5287884.