Greatest Common Factor of 6/48, 86/49, 95/182, 386/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6/48, 86/49, 95/182, 386/120

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 6/48,86/49,95/182,386/120

Given fractions are 6/48,86/49,95/182,386/120

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 6,86,95,386

Greatest Common Factor of Numerators i.e. GCF of 6,86,95,386 is 1 .

LCM of Denominators means LCM of 48,49,182,120 as per the given fractions.

LCM of 48,49,182,120 is 152880 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6,86,95,386

GCF of Fractions 6/48,86/49,95/182,386/120 is 1/152880

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

Greatest Common Factor of 6,86,95,386 By Matching Biggest Common Factor Method

Greatest Common Factor of 6,86,95,386 By Matching Biggest Common Factor Method

Factors of 6

List of positive integer factors of 6 that divides 6 without a remainder.

1,2,3,6

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 386

List of positive integer factors of 386 that divides 386 without a remainder.

1,2,193,386

Greatest Common Factor

We found the factors 6,86,95,386 . The biggest common factor number is the GCF number.
So the greatest common factor 6,86,95,386 is 1.

Lets's calculate LCM of 48,49,182,120

2 48, 49, 182, 120
2 24, 49, 91, 60
2 12, 49, 91, 30
3 6, 49, 91, 15
7 2, 49, 91, 5
2, 7, 13, 5

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 2 x 7 x 13 x 5 = 152880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/152880

Therefore, the GCF of Fractions 6/48,86/49,95/182,386/120 is 1/152880

Least Common Multiple of 48,49,182,120 with GCF Formula

Least Common Multiple of 48,49,182,120 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 48,49,182,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,49,182,120) = 1

common factors(in case of two or more numbers have common factors) = 336

GCF(48,49,182,120) x common factors =1 x 336 = 336

LCM(48,49,182,120) = ( 48 × 49 × 182 × 120 ) / 336

LCM(48,49,182,120) = 51367680 / 336

LCM(48,49,182,120) = 152880


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 6/48, 86/49, 95/182, 386/120

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 6/48, 86/49, 95/182, 386/120?

Answer: GCF of Numerators as per given numbers 6/48, 86/49, 95/182, 386/120 is

GCF of Numerators i.e. for 6,86,95,386 is 1

LCM of denominators i.e. for 48,49,182,120 is 152880.

Thus, GCF of Fractions is 1/152880.Finally, GCF of Fractions for 6/48, 86/49, 95/182, 386/120 is 1/152880.