Greatest Common Factor of 90/21, 730/51, 345/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/21, 730/51, 345/794

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 90/21,730/51,345/794

Given fractions are 90/21,730/51,345/794

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 90,730,345

Greatest Common Factor of Numerators i.e. GCF of 90,730,345 is 5 .

LCM of Denominators means LCM of 21,51,794 as per the given fractions.

LCM of 21,51,794 is 283458 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,730,345

GCF of Fractions 90/21,730/51,345/794 is 5/283458

5 90, 730, 345
18, 146, 69

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 90,730,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,730,345 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 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 90,730,345 . The biggest common factor number is the GCF number.
So the greatest common factor 90,730,345 is 5.

Lets's calculate LCM of 21,51,794

3 21, 51, 794
7, 17, 794

∴ So the LCM of the given numbers is 3 x 7 x 17 x 794 = 283458

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/283458

Therefore, the GCF of Fractions 90/21,730/51,345/794 is 5/283458

Least Common Multiple of 21,51,794 with GCF Formula

Least Common Multiple of 21,51,794 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 21,51,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,51,794) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,51,794) x common factors =1 x 3 = 3

LCM(21,51,794) = ( 21 × 51 × 794 ) / 3

LCM(21,51,794) = 850374 / 3

LCM(21,51,794) = 283458


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 90/21, 730/51, 345/794

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 90/21, 730/51, 345/794?

Answer: GCF of Numerators as per given numbers 90/21, 730/51, 345/794 is

GCF of Numerators i.e. for 90,730,345 is 5

LCM of denominators i.e. for 21,51,794 is 283458.

Thus, GCF of Fractions is 5/283458.Finally, GCF of Fractions for 90/21, 730/51, 345/794 is 5/283458.