Greatest Common Factor of 1/86, 78/96, 46/303, 142/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/86, 78/96, 46/303, 142/690

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 1/86,78/96,46/303,142/690

Given fractions are 1/86,78/96,46/303,142/690

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 1,78,46,142

Greatest Common Factor of Numerators i.e. GCF of 1,78,46,142 is 1 .

LCM of Denominators means LCM of 86,96,303,690 as per the given fractions.

LCM of 86,96,303,690 is 47946720 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,78,46,142

GCF of Fractions 1/86,78/96,46/303,142/690 is 1/47946720

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

Greatest Common Factor of 1,78,46,142 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,78,46,142 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 46

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

1,2,23,46

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Greatest Common Factor

We found the factors 1,78,46,142 . The biggest common factor number is the GCF number.
So the greatest common factor 1,78,46,142 is 1.

Lets's calculate LCM of 86,96,303,690

2 86, 96, 303, 690
3 43, 48, 303, 345
43, 16, 101, 115

∴ So the LCM of the given numbers is 2 x 3 x 43 x 16 x 101 x 115 = 47946720

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47946720

Therefore, the GCF of Fractions 1/86,78/96,46/303,142/690 is 1/47946720

Least Common Multiple of 86,96,303,690 with GCF Formula

Least Common Multiple of 86,96,303,690 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 86,96,303,690 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,96,303,690) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(86,96,303,690) x common factors =1 x 36 = 36

LCM(86,96,303,690) = ( 86 × 96 × 303 × 690 ) / 36

LCM(86,96,303,690) = 1726081920 / 36

LCM(86,96,303,690) = 47946720


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 1/86, 78/96, 46/303, 142/690

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 1/86, 78/96, 46/303, 142/690?

Answer: GCF of Numerators as per given numbers 1/86, 78/96, 46/303, 142/690 is

GCF of Numerators i.e. for 1,78,46,142 is 1

LCM of denominators i.e. for 86,96,303,690 is 47946720.

Thus, GCF of Fractions is 1/47946720.Finally, GCF of Fractions for 1/86, 78/96, 46/303, 142/690 is 1/47946720.