Greatest Common Factor of 6308/924, 6800/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6308/924, 6800/366

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 6308/924,6800/366

Given fractions are 6308/924,6800/366

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 6308,6800

Greatest Common Factor of Numerators i.e. GCF of 6308,6800 is 4 .

LCM of Denominators means LCM of 924,366 as per the given fractions.

LCM of 924,366 is 56364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6308,6800

GCF of Fractions 6308/924,6800/366 is 4/56364

2 6308, 6800
2 3154, 3400
1577, 1700

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6308,6800 By Matching Biggest Common Factor Method

Greatest Common Factor of 6308,6800 By Matching Biggest Common Factor Method

Factors of 6308

List of positive integer factors of 6308 that divides 6308 without a remainder.

1,2,4,19,38,76,83,166,332,1577,3154,6308

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1,2,4,5,8,10,16,17,20,25,34,40,50,68,80,85,100,136,170,200,272,340,400,425,680,850,1360,1700,3400,6800

Greatest Common Factor

We found the factors 6308,6800 . The biggest common factor number is the GCF number.
So the greatest common factor 6308,6800 is 4.

Lets's calculate LCM of 924,366

2 924, 366
3 462, 183
154, 61

∴ So the LCM of the given numbers is 2 x 3 x 154 x 61 = 56364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/56364

Therefore, the GCF of Fractions 6308/924,6800/366 is 4/56364

Least Common Multiple of 924,366 with GCF Formula

Least Common Multiple of 924,366 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 924,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,366) = 6

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

GCF(924,366) x common factors =6 x 1 = 6

LCM(924,366) = ( 924 × 366 ) / 6

LCM(924,366) = 338184 / 6

LCM(924,366) = 56364


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 6308/924, 6800/366

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 6308/924, 6800/366?

Answer: GCF of Numerators as per given numbers 6308/924, 6800/366 is

GCF of Numerators i.e. for 6308,6800 is 4

LCM of denominators i.e. for 924,366 is 56364.

Thus, GCF of Fractions is 4/56364.Finally, GCF of Fractions for 6308/924, 6800/366 is 4/56364.