Greatest Common Factor of 90/68, 28/966, 407/259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/68, 28/966, 407/259

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 90/68,28/966,407/259

Given fractions are 90/68,28/966,407/259

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 90,28,407

Greatest Common Factor of Numerators i.e. GCF of 90,28,407 is 1 .

LCM of Denominators means LCM of 68,966,259 as per the given fractions.

LCM of 68,966,259 is 1215228 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,28,407

GCF of Fractions 90/68,28/966,407/259 is 1/1215228

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

Greatest Common Factor of 90,28,407 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,28,407 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 407

List of positive integer factors of 407 that divides 407 without a remainder.

1,11,37,407

Greatest Common Factor

We found the factors 90,28,407 . The biggest common factor number is the GCF number.
So the greatest common factor 90,28,407 is 1.

Lets's calculate LCM of 68,966,259

2 68, 966, 259
7 34, 483, 259
34, 69, 37

∴ So the LCM of the given numbers is 2 x 7 x 34 x 69 x 37 = 1215228

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1215228

Therefore, the GCF of Fractions 90/68,28/966,407/259 is 1/1215228

Least Common Multiple of 68,966,259 with GCF Formula

Least Common Multiple of 68,966,259 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 68,966,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,966,259) = 1

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

GCF(68,966,259) x common factors =1 x 14 = 14

LCM(68,966,259) = ( 68 × 966 × 259 ) / 14

LCM(68,966,259) = 17013192 / 14

LCM(68,966,259) = 1215228


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 90/68, 28/966, 407/259

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 90/68, 28/966, 407/259?

Answer: GCF of Numerators as per given numbers 90/68, 28/966, 407/259 is

GCF of Numerators i.e. for 90,28,407 is 1

LCM of denominators i.e. for 68,966,259 is 1215228.

Thus, GCF of Fractions is 1/1215228.Finally, GCF of Fractions for 90/68, 28/966, 407/259 is 1/1215228.