Greatest Common Factor of 4/20, 49/34, 95/323, 998/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/20, 49/34, 95/323, 998/638

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 4/20,49/34,95/323,998/638

Given fractions are 4/20,49/34,95/323,998/638

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 4,49,95,998

Greatest Common Factor of Numerators i.e. GCF of 4,49,95,998 is 1 .

LCM of Denominators means LCM of 20,34,323,638 as per the given fractions.

LCM of 20,34,323,638 is 2060740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,49,95,998

GCF of Fractions 4/20,49/34,95/323,998/638 is 1/2060740

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

Greatest Common Factor of 4,49,95,998 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,49,95,998 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 49

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

1,7,49

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 998

List of positive integer factors of 998 that divides 998 without a remainder.

1,2,499,998

Greatest Common Factor

We found the factors 4,49,95,998 . The biggest common factor number is the GCF number.
So the greatest common factor 4,49,95,998 is 1.

Lets's calculate LCM of 20,34,323,638

2 20, 34, 323, 638
17 10, 17, 323, 319
10, 1, 19, 319

∴ So the LCM of the given numbers is 2 x 17 x 10 x 1 x 19 x 319 = 2060740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2060740

Therefore, the GCF of Fractions 4/20,49/34,95/323,998/638 is 1/2060740

Least Common Multiple of 20,34,323,638 with GCF Formula

Least Common Multiple of 20,34,323,638 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 20,34,323,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,34,323,638) = 1

common factors(in case of two or more numbers have common factors) = 68

GCF(20,34,323,638) x common factors =1 x 68 = 68

LCM(20,34,323,638) = ( 20 × 34 × 323 × 638 ) / 68

LCM(20,34,323,638) = 140130320 / 68

LCM(20,34,323,638) = 2060740


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 4/20, 49/34, 95/323, 998/638

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 4/20, 49/34, 95/323, 998/638?

Answer: GCF of Numerators as per given numbers 4/20, 49/34, 95/323, 998/638 is

GCF of Numerators i.e. for 4,49,95,998 is 1

LCM of denominators i.e. for 20,34,323,638 is 2060740.

Thus, GCF of Fractions is 1/2060740.Finally, GCF of Fractions for 4/20, 49/34, 95/323, 998/638 is 1/2060740.