Greatest Common Factor of 8412/25, 4672/927

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8412/25, 4672/927

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 8412/25,4672/927

Given fractions are 8412/25,4672/927

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 8412,4672

Greatest Common Factor of Numerators i.e. GCF of 8412,4672 is 4 .

LCM of Denominators means LCM of 25,927 as per the given fractions.

LCM of 25,927 is 23175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8412,4672

GCF of Fractions 8412/25,4672/927 is 4/23175

2 8412, 4672
2 4206, 2336
2103, 1168

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

Greatest Common Factor of 8412,4672 By Matching Biggest Common Factor Method

Greatest Common Factor of 8412,4672 By Matching Biggest Common Factor Method

Factors of 8412

List of positive integer factors of 8412 that divides 8412 without a remainder.

1,2,3,4,6,12,701,1402,2103,2804,4206,8412

Factors of 4672

List of positive integer factors of 4672 that divides 4672 without a remainder.

1,2,4,8,16,32,64,73,146,292,584,1168,2336,4672

Greatest Common Factor

We found the factors 8412,4672 . The biggest common factor number is the GCF number.
So the greatest common factor 8412,4672 is 4.

Lets's calculate LCM of 25,927

Given numbers has no common factors except 1. So, there LCM is their product i.e 23175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/23175

Therefore, the GCF of Fractions 8412/25,4672/927 is 4/23175

Least Common Multiple of 25,927 with GCF Formula

Least Common Multiple of 25,927 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 25,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,927) = 1

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

GCF(25,927) x common factors =1 x 1 = 1

LCM(25,927) = ( 25 × 927 ) / 1

LCM(25,927) = 23175 / 1

LCM(25,927) = 23175


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 8412/25, 4672/927

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 8412/25, 4672/927?

Answer: GCF of Numerators as per given numbers 8412/25, 4672/927 is

GCF of Numerators i.e. for 8412,4672 is 4

LCM of denominators i.e. for 25,927 is 23175.

Thus, GCF of Fractions is 4/23175.Finally, GCF of Fractions for 8412/25, 4672/927 is 4/23175.