Greatest Common Factor of 5/23, 90/99, 49/972, 799/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5/23, 90/99, 49/972, 799/686

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 5/23,90/99,49/972,799/686

Given fractions are 5/23,90/99,49/972,799/686

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 5,90,49,799

Greatest Common Factor of Numerators i.e. GCF of 5,90,49,799 is 1 .

LCM of Denominators means LCM of 23,99,972,686 as per the given fractions.

LCM of 23,99,972,686 is 84349188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5,90,49,799

GCF of Fractions 5/23,90/99,49/972,799/686 is 1/84349188

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

Greatest Common Factor of 5,90,49,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 5,90,49,799 By Matching Biggest Common Factor Method

Factors of 5

List of positive integer factors of 5 that divides 5 without a remainder.

1,5

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 5,90,49,799 . The biggest common factor number is the GCF number.
So the greatest common factor 5,90,49,799 is 1.

Lets's calculate LCM of 23,99,972,686

2 23, 99, 972, 686
3 23, 99, 486, 343
3 23, 33, 162, 343
23, 11, 54, 343

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 11 x 54 x 343 = 84349188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84349188

Therefore, the GCF of Fractions 5/23,90/99,49/972,799/686 is 1/84349188

Least Common Multiple of 23,99,972,686 with GCF Formula

Least Common Multiple of 23,99,972,686 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 23,99,972,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,99,972,686) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(23,99,972,686) x common factors =1 x 18 = 18

LCM(23,99,972,686) = ( 23 × 99 × 972 × 686 ) / 18

LCM(23,99,972,686) = 1518285384 / 18

LCM(23,99,972,686) = 84349188


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 5/23, 90/99, 49/972, 799/686

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 5/23, 90/99, 49/972, 799/686?

Answer: GCF of Numerators as per given numbers 5/23, 90/99, 49/972, 799/686 is

GCF of Numerators i.e. for 5,90,49,799 is 1

LCM of denominators i.e. for 23,99,972,686 is 84349188.

Thus, GCF of Fractions is 1/84349188.Finally, GCF of Fractions for 5/23, 90/99, 49/972, 799/686 is 1/84349188.