Greatest Common Factor of 98/605, 731/169, 762/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 98/605, 731/169, 762/992

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 98/605,731/169,762/992

Given fractions are 98/605,731/169,762/992

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 98,731,762

Greatest Common Factor of Numerators i.e. GCF of 98,731,762 is 1 .

LCM of Denominators means LCM of 605,169,992 as per the given fractions.

LCM of 605,169,992 is 101427040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 98,731,762

GCF of Fractions 98/605,731/169,762/992 is 1/101427040

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

Greatest Common Factor of 98,731,762 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,731,762 By Matching Biggest Common Factor Method

Factors of 98

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

1,2,7,14,49,98

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Greatest Common Factor

We found the factors 98,731,762 . The biggest common factor number is the GCF number.
So the greatest common factor 98,731,762 is 1.

Lets's calculate LCM of 605,169,992

Given numbers has no common factors except 1. So, there LCM is their product i.e 101427040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/101427040

Therefore, the GCF of Fractions 98/605,731/169,762/992 is 1/101427040

Least Common Multiple of 605,169,992 with GCF Formula

Least Common Multiple of 605,169,992 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 605,169,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(605,169,992) = 1

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

GCF(605,169,992) x common factors =1 x 1 = 1

LCM(605,169,992) = ( 605 × 169 × 992 ) / 1

LCM(605,169,992) = 101427040 / 1

LCM(605,169,992) = 101427040


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 98/605, 731/169, 762/992

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 98/605, 731/169, 762/992?

Answer: GCF of Numerators as per given numbers 98/605, 731/169, 762/992 is

GCF of Numerators i.e. for 98,731,762 is 1

LCM of denominators i.e. for 605,169,992 is 101427040.

Thus, GCF of Fractions is 1/101427040.Finally, GCF of Fractions for 98/605, 731/169, 762/992 is 1/101427040.