Greatest Common Factor of 781/8051, 847/9162

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/8051, 847/9162

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 781/8051,847/9162

Given fractions are 781/8051,847/9162

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 781,847

Greatest Common Factor of Numerators i.e. GCF of 781,847 is 11 .

LCM of Denominators means LCM of 8051,9162 as per the given fractions.

LCM of 8051,9162 is 73763262 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,847

GCF of Fractions 781/8051,847/9162 is 11/73763262

11 781, 847
71, 77

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 781,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,847 By Matching Biggest Common Factor Method

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Factors of 847

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

1,7,11,77,121,847

Greatest Common Factor

We found the factors 781,847 . The biggest common factor number is the GCF number.
So the greatest common factor 781,847 is 11.

Lets's calculate LCM of 8051,9162

Given numbers has no common factors except 1. So, there LCM is their product i.e 73763262

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/73763262

Therefore, the GCF of Fractions 781/8051,847/9162 is 11/73763262

Least Common Multiple of 8051,9162 with GCF Formula

Least Common Multiple of 8051,9162 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 8051,9162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8051,9162) = 1

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

GCF(8051,9162) x common factors =1 x 1 = 1

LCM(8051,9162) = ( 8051 × 9162 ) / 1

LCM(8051,9162) = 73763262 / 1

LCM(8051,9162) = 73763262


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 781/8051, 847/9162

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 781/8051, 847/9162?

Answer: GCF of Numerators as per given numbers 781/8051, 847/9162 is

GCF of Numerators i.e. for 781,847 is 11

LCM of denominators i.e. for 8051,9162 is 73763262.

Thus, GCF of Fractions is 11/73763262.Finally, GCF of Fractions for 781/8051, 847/9162 is 11/73763262.