Greatest Common Factor of 847/234, 784/387

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 847/234, 784/387

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 847/234,784/387

Given fractions are 847/234,784/387

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 847,784

Greatest Common Factor of Numerators i.e. GCF of 847,784 is 7 .

LCM of Denominators means LCM of 234,387 as per the given fractions.

LCM of 234,387 is 10062 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 847,784

GCF of Fractions 847/234,784/387 is 7/10062

7 847, 784
121, 112

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 847,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,784 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 847,784 . The biggest common factor number is the GCF number.
So the greatest common factor 847,784 is 7.

Lets's calculate LCM of 234,387

3 234, 387
3 78, 129
26, 43

∴ So the LCM of the given numbers is 3 x 3 x 26 x 43 = 10062

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/10062

Therefore, the GCF of Fractions 847/234,784/387 is 7/10062

Least Common Multiple of 234,387 with GCF Formula

Least Common Multiple of 234,387 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 234,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,387) = 9

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

GCF(234,387) x common factors =9 x 1 = 9

LCM(234,387) = ( 234 × 387 ) / 9

LCM(234,387) = 90558 / 9

LCM(234,387) = 10062


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 847/234, 784/387

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 847/234, 784/387?

Answer: GCF of Numerators as per given numbers 847/234, 784/387 is

GCF of Numerators i.e. for 847,784 is 7

LCM of denominators i.e. for 234,387 is 10062.

Thus, GCF of Fractions is 7/10062.Finally, GCF of Fractions for 847/234, 784/387 is 7/10062.