Greatest Common Factor of 68/30, 57/48, 55/10, 46/840

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/30, 57/48, 55/10, 46/840

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 68/30,57/48,55/10,46/840

Given fractions are 68/30,57/48,55/10,46/840

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 68,57,55,46

Greatest Common Factor of Numerators i.e. GCF of 68,57,55,46 is 1 .

LCM of Denominators means LCM of 30,48,10,840 as per the given fractions.

LCM of 30,48,10,840 is 1680 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,57,55,46

GCF of Fractions 68/30,57/48,55/10,46/840 is 1/1680

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

Greatest Common Factor of 68,57,55,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,57,55,46 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 68,57,55,46 . The biggest common factor number is the GCF number.
So the greatest common factor 68,57,55,46 is 1.

Lets's calculate LCM of 30,48,10,840

2 30, 48, 10, 840
2 15, 24, 5, 420
2 15, 12, 5, 210
3 15, 6, 5, 105
5 5, 2, 5, 35
1, 2, 1, 7

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 1 x 2 x 1 x 7 = 1680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1680

Therefore, the GCF of Fractions 68/30,57/48,55/10,46/840 is 1/1680

Least Common Multiple of 30,48,10,840 with GCF Formula

Least Common Multiple of 30,48,10,840 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 30,48,10,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,48,10,840) = 2

common factors(in case of two or more numbers have common factors) = 3600

GCF(30,48,10,840) x common factors =2 x 3600 = 7200

LCM(30,48,10,840) = ( 30 × 48 × 10 × 840 ) / 7200

LCM(30,48,10,840) = 12096000 / 7200

LCM(30,48,10,840) = 1680


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 68/30, 57/48, 55/10, 46/840

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 68/30, 57/48, 55/10, 46/840?

Answer: GCF of Numerators as per given numbers 68/30, 57/48, 55/10, 46/840 is

GCF of Numerators i.e. for 68,57,55,46 is 1

LCM of denominators i.e. for 30,48,10,840 is 1680.

Thus, GCF of Fractions is 1/1680.Finally, GCF of Fractions for 68/30, 57/48, 55/10, 46/840 is 1/1680.