Greatest Common Factor of 848/78, 174/30, 839/758

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 848/78, 174/30, 839/758

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 848/78,174/30,839/758

Given fractions are 848/78,174/30,839/758

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 848,174,839

Greatest Common Factor of Numerators i.e. GCF of 848,174,839 is 1 .

LCM of Denominators means LCM of 78,30,758 as per the given fractions.

LCM of 78,30,758 is 147810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 848,174,839

GCF of Fractions 848/78,174/30,839/758 is 1/147810

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

Greatest Common Factor of 848,174,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,174,839 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 848,174,839 . The biggest common factor number is the GCF number.
So the greatest common factor 848,174,839 is 1.

Lets's calculate LCM of 78,30,758

2 78, 30, 758
3 39, 15, 379
13, 5, 379

∴ So the LCM of the given numbers is 2 x 3 x 13 x 5 x 379 = 147810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/147810

Therefore, the GCF of Fractions 848/78,174/30,839/758 is 1/147810

Least Common Multiple of 78,30,758 with GCF Formula

Least Common Multiple of 78,30,758 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 78,30,758 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,30,758) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(78,30,758) x common factors =2 x 6 = 12

LCM(78,30,758) = ( 78 × 30 × 758 ) / 12

LCM(78,30,758) = 1773720 / 12

LCM(78,30,758) = 147810


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 848/78, 174/30, 839/758

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 848/78, 174/30, 839/758?

Answer: GCF of Numerators as per given numbers 848/78, 174/30, 839/758 is

GCF of Numerators i.e. for 848,174,839 is 1

LCM of denominators i.e. for 78,30,758 is 147810.

Thus, GCF of Fractions is 1/147810.Finally, GCF of Fractions for 848/78, 174/30, 839/758 is 1/147810.