Greatest Common Factor of 781/505, 8225/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 781/505, 8225/118

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 781/505,8225/118

Given fractions are 781/505,8225/118

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 781,8225

Greatest Common Factor of Numerators i.e. GCF of 781,8225 is 1 .

LCM of Denominators means LCM of 505,118 as per the given fractions.

LCM of 505,118 is 59590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 781,8225

GCF of Fractions 781/505,8225/118 is 1/59590

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 781,8225 By Matching Biggest Common Factor Method

Greatest Common Factor of 781,8225 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 8225

List of positive integer factors of 8225 that divides 8225 without a remainder.

1,5,7,25,35,47,175,235,329,1175,1645,8225

Greatest Common Factor

We found the factors 781,8225 . The biggest common factor number is the GCF number.
So the greatest common factor 781,8225 is 1.

Lets's calculate LCM of 505,118

Given numbers has no common factors except 1. So, there LCM is their product i.e 59590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/59590

Therefore, the GCF of Fractions 781/505,8225/118 is 1/59590

Least Common Multiple of 505,118 with GCF Formula

Least Common Multiple of 505,118 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 505,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,118) = 1

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

GCF(505,118) x common factors =1 x 1 = 1

LCM(505,118) = ( 505 × 118 ) / 1

LCM(505,118) = 59590 / 1

LCM(505,118) = 59590


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 781/505, 8225/118

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 781/505, 8225/118?

Answer: GCF of Numerators as per given numbers 781/505, 8225/118 is

GCF of Numerators i.e. for 781,8225 is 1

LCM of denominators i.e. for 505,118 is 59590.

Thus, GCF of Fractions is 1/59590.Finally, GCF of Fractions for 781/505, 8225/118 is 1/59590.