Greatest Common Factor of 75/66, 94/95, 506/897

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 75/66, 94/95, 506/897

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 75/66,94/95,506/897

Given fractions are 75/66,94/95,506/897

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 75,94,506

Greatest Common Factor of Numerators i.e. GCF of 75,94,506 is 1 .

LCM of Denominators means LCM of 66,95,897 as per the given fractions.

LCM of 66,95,897 is 1874730 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 75,94,506

GCF of Fractions 75/66,94/95,506/897 is 1/1874730

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

Greatest Common Factor of 75,94,506 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,94,506 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Greatest Common Factor

We found the factors 75,94,506 . The biggest common factor number is the GCF number.
So the greatest common factor 75,94,506 is 1.

Lets's calculate LCM of 66,95,897

3 66, 95, 897
22, 95, 299

∴ So the LCM of the given numbers is 3 x 22 x 95 x 299 = 1874730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1874730

Therefore, the GCF of Fractions 75/66,94/95,506/897 is 1/1874730

Least Common Multiple of 66,95,897 with GCF Formula

Least Common Multiple of 66,95,897 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 66,95,897 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,95,897) = 1

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

GCF(66,95,897) x common factors =1 x 3 = 3

LCM(66,95,897) = ( 66 × 95 × 897 ) / 3

LCM(66,95,897) = 5624190 / 3

LCM(66,95,897) = 1874730


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 75/66, 94/95, 506/897

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 75/66, 94/95, 506/897?

Answer: GCF of Numerators as per given numbers 75/66, 94/95, 506/897 is

GCF of Numerators i.e. for 75,94,506 is 1

LCM of denominators i.e. for 66,95,897 is 1874730.

Thus, GCF of Fractions is 1/1874730.Finally, GCF of Fractions for 75/66, 94/95, 506/897 is 1/1874730.