How to Find GCF of 91/38, 59/43, 680/721?

GCF of 91/38, 59/43, 680/721

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 91/38, 59/43, 680/721 i.e 1/1178114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 91/38, 59/43, 680/721.

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 91/38,59/43,680/721?

Given fractions are 91/38,59/43,680/721

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 91/38,59/43,680/721, numerators are 91,59,680

Denominators are 38,43,721

The GCF of 91,59,680 is 1 .

LCM of 38,43,721 is 1178114.

The greatest common factor of 91/38,59/43,680/721 = [GCF of 91,59,680]/[LCM of 38,43,721]= 1/1178114

Therefore, the GCF of 91/38,59/43,680/721 is 1/1178114.

Greatest Common Factor of 91,59,680

To find the highest common factor of 91,59,680, 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 59 are 1, 59

The factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

The HCF of 91,59,680 is 1.

Lets's calculate GCF of 91,59,680

Greatest Common Factor (GCF) of 91,59,680 By Common Division

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

Greatest Common Factor of 91,59,680 By Matching Biggest Common Factor Method

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 59

1,59

Now, list down the factors of 680

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Greatest Common Factor

We found the factors 91,59,680 . The biggest common factor number is the GCF number.
So the greatest common factor 91,59,680 is 1.

Lets's calculate LCM of 38,43,721

Lowest Common Multiple of 38,43,721 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1178114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1178114

Therefore, the GCF of Fractions 91/38,59/43,680/721 is 1/1178114

Least Common Multiple of 38,43,721 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 38,43,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,43,721) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(38,43,721) x common factors =1 x 1 = 1

LCM(38,43,721) = ( 38 × 43 × 721 ) / 1

LCM(38,43,721) = 1178114 / 1

LCM(38,43,721) = 1178114

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FAQs on GCF of Fractions of 91/38, 59/43, 680/721

1. What is the HCF of 91,59,680?

The HCF of 91,59,680 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 91/38, 59/43, 680/721?

Answer: GCF of Numerators as per given numbers 91/38, 59/43, 680/721 is

GCF of Numerators i.e. for 91,59,680 is 1

LCM of denominators i.e. for 38,43,721 is 1178114.

Thus, GCF of Fractions is 1/1178114.Finally, GCF of Fractions for 91/38, 59/43, 680/721 is 1/1178114.