Greatest Common Factor of 386/28, 266/70, 459/127

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 386/28, 266/70, 459/127

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 386/28,266/70,459/127

Given fractions are 386/28,266/70,459/127

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 386,266,459

Greatest Common Factor of Numerators i.e. GCF of 386,266,459 is 1 .

LCM of Denominators means LCM of 28,70,127 as per the given fractions.

LCM of 28,70,127 is 17780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 386,266,459

GCF of Fractions 386/28,266/70,459/127 is 1/17780

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

Greatest Common Factor of 386,266,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 386,266,459 By Matching Biggest Common Factor Method

Factors of 386

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

1,2,193,386

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 386,266,459 . The biggest common factor number is the GCF number.
So the greatest common factor 386,266,459 is 1.

Lets's calculate LCM of 28,70,127

2 28, 70, 127
7 14, 35, 127
2, 5, 127

∴ So the LCM of the given numbers is 2 x 7 x 2 x 5 x 127 = 17780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17780

Therefore, the GCF of Fractions 386/28,266/70,459/127 is 1/17780

Least Common Multiple of 28,70,127 with GCF Formula

Least Common Multiple of 28,70,127 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 28,70,127 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,70,127) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(28,70,127) x common factors =1 x 14 = 14

LCM(28,70,127) = ( 28 × 70 × 127 ) / 14

LCM(28,70,127) = 248920 / 14

LCM(28,70,127) = 17780


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 386/28, 266/70, 459/127

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 386/28, 266/70, 459/127?

Answer: GCF of Numerators as per given numbers 386/28, 266/70, 459/127 is

GCF of Numerators i.e. for 386,266,459 is 1

LCM of denominators i.e. for 28,70,127 is 17780.

Thus, GCF of Fractions is 1/17780.Finally, GCF of Fractions for 386/28, 266/70, 459/127 is 1/17780.