Greatest Common Factor of 1/47, 78/19, 49/893, 489/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/47, 78/19, 49/893, 489/323

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 1/47,78/19,49/893,489/323

Given fractions are 1/47,78/19,49/893,489/323

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 1,78,49,489

Greatest Common Factor of Numerators i.e. GCF of 1,78,49,489 is 1 .

LCM of Denominators means LCM of 47,19,893,323 as per the given fractions.

LCM of 47,19,893,323 is 15181 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,78,49,489

GCF of Fractions 1/47,78/19,49/893,489/323 is 1/15181

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

Greatest Common Factor of 1,78,49,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,78,49,489 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 49

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

1,7,49

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 1,78,49,489 . The biggest common factor number is the GCF number.
So the greatest common factor 1,78,49,489 is 1.

Lets's calculate LCM of 47,19,893,323

19 47, 19, 893, 323
47 47, 1, 47, 17
1, 1, 1, 17

∴ So the LCM of the given numbers is 19 x 47 x 1 x 1 x 1 x 17 = 15181

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/15181

Therefore, the GCF of Fractions 1/47,78/19,49/893,489/323 is 1/15181

Least Common Multiple of 47,19,893,323 with GCF Formula

Least Common Multiple of 47,19,893,323 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 47,19,893,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,19,893,323) = 1

common factors(in case of two or more numbers have common factors) = 16967

GCF(47,19,893,323) x common factors =1 x 16967 = 16967

LCM(47,19,893,323) = ( 47 × 19 × 893 × 323 ) / 16967

LCM(47,19,893,323) = 257576027 / 16967

LCM(47,19,893,323) = 15181


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 1/47, 78/19, 49/893, 489/323

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 1/47, 78/19, 49/893, 489/323?

Answer: GCF of Numerators as per given numbers 1/47, 78/19, 49/893, 489/323 is

GCF of Numerators i.e. for 1,78,49,489 is 1

LCM of denominators i.e. for 47,19,893,323 is 15181.

Thus, GCF of Fractions is 1/15181.Finally, GCF of Fractions for 1/47, 78/19, 49/893, 489/323 is 1/15181.