How to Find GCF of 91/85, 213/96, 196/590?

GCF of 91/85, 213/96, 196/590

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 91/85, 213/96, 196/590 i.e 1/481440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/85, 213/96, 196/590.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 91/85,213/96,196/590?

Given fractions are 91/85,213/96,196/590

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 91/85,213/96,196/590, numerators are 91,213,196

Denominators are 85,96,590

The GCF of 91,213,196 is 1 .

LCM of 85,96,590 is 481440.

The greatest common factor of 91/85,213/96,196/590 = [GCF of 91,213,196]/[LCM of 85,96,590]= 1/481440

Therefore, the GCF of 91/85,213/96,196/590 is 1/481440.

Greatest Common Factor of 91,213,196

To find the highest common factor of 91,213,196, we have to find the factors of both numbers and list the highest common factor.

The factors of 91 are 1, 7, 13, 91

The factors of 213 are 1, 3, 71, 213

The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196

The HCF of 91,213,196 is 1.

Lets's calculate GCF of 91,213,196

Greatest Common Factor (GCF) of 91,213,196 By Common Division

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

Greatest Common Factor of 91,213,196 By Matching Biggest Common Factor Method

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 213

1,3,71,213

Now, list down the factors of 196

1,2,4,7,14,28,49,98,196

Greatest Common Factor

We found the factors 91,213,196 . The biggest common factor number is the GCF number.
So the greatest common factor 91,213,196 is 1.

Lets's calculate LCM of 85,96,590

Lowest Common Multiple of 85,96,590 using Common Division

2	85, 96, 590
5	85, 48, 295
	17, 48, 59

∴ So the LCM of the given numbers is 2 x 5 x 17 x 48 x 59 = 481440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/481440

Therefore, the GCF of Fractions 91/85,213/96,196/590 is 1/481440

Least Common Multiple of 85,96,590 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 85,96,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,96,590) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(85,96,590) x common factors =1 x 10 = 10

LCM(85,96,590) = ( 85 × 96 × 590 ) / 10

LCM(85,96,590) = 4814400 / 10

LCM(85,96,590) = 481440

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 91/85, 213/96, 196/590

1. What is the HCF of 91,213,196?

The HCF of 91,213,196 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 91/85, 213/96, 196/590?

Answer: GCF of Numerators as per given numbers 91/85, 213/96, 196/590 is

GCF of Numerators i.e. for 91,213,196 is 1

LCM of denominators i.e. for 85,96,590 is 481440.

Thus, GCF of Fractions is 1/481440.Finally, GCF of Fractions for 91/85, 213/96, 196/590 is 1/481440.