Greatest Common Factor of 65/74, 95/87, 488/196

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/74, 95/87, 488/196

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 65/74,95/87,488/196

Given fractions are 65/74,95/87,488/196

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 65,95,488

Greatest Common Factor of Numerators i.e. GCF of 65,95,488 is 1 .

LCM of Denominators means LCM of 74,87,196 as per the given fractions.

LCM of 74,87,196 is 630924 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,95,488

GCF of Fractions 65/74,95/87,488/196 is 1/630924

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

Greatest Common Factor of 65,95,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,95,488 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 65,95,488 . The biggest common factor number is the GCF number.
So the greatest common factor 65,95,488 is 1.

Lets's calculate LCM of 74,87,196

2 74, 87, 196
37, 87, 98

∴ So the LCM of the given numbers is 2 x 37 x 87 x 98 = 630924

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/630924

Therefore, the GCF of Fractions 65/74,95/87,488/196 is 1/630924

Least Common Multiple of 74,87,196 with GCF Formula

Least Common Multiple of 74,87,196 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 74,87,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,87,196) = 1

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

GCF(74,87,196) x common factors =1 x 2 = 2

LCM(74,87,196) = ( 74 × 87 × 196 ) / 2

LCM(74,87,196) = 1261848 / 2

LCM(74,87,196) = 630924


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 65/74, 95/87, 488/196

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 65/74, 95/87, 488/196?

Answer: GCF of Numerators as per given numbers 65/74, 95/87, 488/196 is

GCF of Numerators i.e. for 65,95,488 is 1

LCM of denominators i.e. for 74,87,196 is 630924.

Thus, GCF of Fractions is 1/630924.Finally, GCF of Fractions for 65/74, 95/87, 488/196 is 1/630924.