Greatest Common Factor of 292/74, 215/97, 465/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 292/74, 215/97, 465/174

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 292/74,215/97,465/174

Given fractions are 292/74,215/97,465/174

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 292,215,465

Greatest Common Factor of Numerators i.e. GCF of 292,215,465 is 1 .

LCM of Denominators means LCM of 74,97,174 as per the given fractions.

LCM of 74,97,174 is 624486 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 292,215,465

GCF of Fractions 292/74,215/97,465/174 is 1/624486

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

Greatest Common Factor of 292,215,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 292,215,465 By Matching Biggest Common Factor Method

Factors of 292

List of positive integer factors of 292 that divides 292 without a remainder.

1,2,4,73,146,292

Factors of 215

List of positive integer factors of 215 that divides 215 without a remainder.

1,5,43,215

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 292,215,465 . The biggest common factor number is the GCF number.
So the greatest common factor 292,215,465 is 1.

Lets's calculate LCM of 74,97,174

2 74, 97, 174
37, 97, 87

∴ So the LCM of the given numbers is 2 x 37 x 97 x 87 = 624486

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/624486

Therefore, the GCF of Fractions 292/74,215/97,465/174 is 1/624486

Least Common Multiple of 74,97,174 with GCF Formula

Least Common Multiple of 74,97,174 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 74,97,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,97,174) = 1

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

GCF(74,97,174) x common factors =1 x 2 = 2

LCM(74,97,174) = ( 74 × 97 × 174 ) / 2

LCM(74,97,174) = 1248972 / 2

LCM(74,97,174) = 624486


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 292/74, 215/97, 465/174

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 292/74, 215/97, 465/174?

Answer: GCF of Numerators as per given numbers 292/74, 215/97, 465/174 is

GCF of Numerators i.e. for 292,215,465 is 1

LCM of denominators i.e. for 74,97,174 is 624486.

Thus, GCF of Fractions is 1/624486.Finally, GCF of Fractions for 292/74, 215/97, 465/174 is 1/624486.