Greatest Common Factor of 89/74, 930/51, 566/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/74, 930/51, 566/404

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 89/74,930/51,566/404

Given fractions are 89/74,930/51,566/404

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 89,930,566

Greatest Common Factor of Numerators i.e. GCF of 89,930,566 is 1 .

LCM of Denominators means LCM of 74,51,404 as per the given fractions.

LCM of 74,51,404 is 762348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,930,566

GCF of Fractions 89/74,930/51,566/404 is 1/762348

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

Greatest Common Factor of 89,930,566 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,930,566 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Greatest Common Factor

We found the factors 89,930,566 . The biggest common factor number is the GCF number.
So the greatest common factor 89,930,566 is 1.

Lets's calculate LCM of 74,51,404

2 74, 51, 404
37, 51, 202

∴ So the LCM of the given numbers is 2 x 37 x 51 x 202 = 762348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/762348

Therefore, the GCF of Fractions 89/74,930/51,566/404 is 1/762348

Least Common Multiple of 74,51,404 with GCF Formula

Least Common Multiple of 74,51,404 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 74,51,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,51,404) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,51,404) x common factors =1 x 2 = 2

LCM(74,51,404) = ( 74 × 51 × 404 ) / 2

LCM(74,51,404) = 1524696 / 2

LCM(74,51,404) = 762348


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 89/74, 930/51, 566/404

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 89/74, 930/51, 566/404?

Answer: GCF of Numerators as per given numbers 89/74, 930/51, 566/404 is

GCF of Numerators i.e. for 89,930,566 is 1

LCM of denominators i.e. for 74,51,404 is 762348.

Thus, GCF of Fractions is 1/762348.Finally, GCF of Fractions for 89/74, 930/51, 566/404 is 1/762348.