Greatest Common Factor of 8/65, 19/35, 98/481, 709/145

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/65, 19/35, 98/481, 709/145

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 8/65,19/35,98/481,709/145

Given fractions are 8/65,19/35,98/481,709/145

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 8,19,98,709

Greatest Common Factor of Numerators i.e. GCF of 8,19,98,709 is 1 .

LCM of Denominators means LCM of 65,35,481,145 as per the given fractions.

LCM of 65,35,481,145 is 488215 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,19,98,709

GCF of Fractions 8/65,19/35,98/481,709/145 is 1/488215

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

Greatest Common Factor of 8,19,98,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,19,98,709 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 8,19,98,709 . The biggest common factor number is the GCF number.
So the greatest common factor 8,19,98,709 is 1.

Lets's calculate LCM of 65,35,481,145

5 65, 35, 481, 145
13 13, 7, 481, 29
1, 7, 37, 29

∴ So the LCM of the given numbers is 5 x 13 x 1 x 7 x 37 x 29 = 488215

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/488215

Therefore, the GCF of Fractions 8/65,19/35,98/481,709/145 is 1/488215

Least Common Multiple of 65,35,481,145 with GCF Formula

Least Common Multiple of 65,35,481,145 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 65,35,481,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,35,481,145) = 1

common factors(in case of two or more numbers have common factors) = 325

GCF(65,35,481,145) x common factors =1 x 325 = 325

LCM(65,35,481,145) = ( 65 × 35 × 481 × 145 ) / 325

LCM(65,35,481,145) = 158669875 / 325

LCM(65,35,481,145) = 488215


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 8/65, 19/35, 98/481, 709/145

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 8/65, 19/35, 98/481, 709/145?

Answer: GCF of Numerators as per given numbers 8/65, 19/35, 98/481, 709/145 is

GCF of Numerators i.e. for 8,19,98,709 is 1

LCM of denominators i.e. for 65,35,481,145 is 488215.

Thus, GCF of Fractions is 1/488215.Finally, GCF of Fractions for 8/65, 19/35, 98/481, 709/145 is 1/488215.