Greatest Common Factor of 78/53, 35/46, 38/67, 60/851

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/53, 35/46, 38/67, 60/851

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 78/53,35/46,38/67,60/851

Given fractions are 78/53,35/46,38/67,60/851

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 78,35,38,60

Greatest Common Factor of Numerators i.e. GCF of 78,35,38,60 is 1 .

LCM of Denominators means LCM of 53,46,67,851 as per the given fractions.

LCM of 53,46,67,851 is 6043802 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,35,38,60

GCF of Fractions 78/53,35/46,38/67,60/851 is 1/6043802

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

Greatest Common Factor of 78,35,38,60 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,35,38,60 By Matching Biggest Common Factor Method

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 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Greatest Common Factor

We found the factors 78,35,38,60 . The biggest common factor number is the GCF number.
So the greatest common factor 78,35,38,60 is 1.

Lets's calculate LCM of 53,46,67,851

23 53, 46, 67, 851
53, 2, 67, 37

∴ So the LCM of the given numbers is 23 x 53 x 2 x 67 x 37 = 6043802

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6043802

Therefore, the GCF of Fractions 78/53,35/46,38/67,60/851 is 1/6043802

Least Common Multiple of 53,46,67,851 with GCF Formula

Least Common Multiple of 53,46,67,851 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 53,46,67,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,46,67,851) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(53,46,67,851) x common factors =1 x 23 = 23

LCM(53,46,67,851) = ( 53 × 46 × 67 × 851 ) / 23

LCM(53,46,67,851) = 139007446 / 23

LCM(53,46,67,851) = 6043802


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 78/53, 35/46, 38/67, 60/851

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 78/53, 35/46, 38/67, 60/851?

Answer: GCF of Numerators as per given numbers 78/53, 35/46, 38/67, 60/851 is

GCF of Numerators i.e. for 78,35,38,60 is 1

LCM of denominators i.e. for 53,46,67,851 is 6043802.

Thus, GCF of Fractions is 1/6043802.Finally, GCF of Fractions for 78/53, 35/46, 38/67, 60/851 is 1/6043802.