How to Find GCF of 92/98, 91/80, 735/918?

GCF of 92/98, 91/80, 735/918

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 92/98, 91/80, 735/918 i.e 1/1799280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/98, 91/80, 735/918.

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 92/98,91/80,735/918?

Given fractions are 92/98,91/80,735/918

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 92/98,91/80,735/918, numerators are 92,91,735

Denominators are 98,80,918

The GCF of 92,91,735 is 1 .

LCM of 98,80,918 is 1799280.

The greatest common factor of 92/98,91/80,735/918 = [GCF of 92,91,735]/[LCM of 98,80,918]= 1/1799280

Therefore, the GCF of 92/98,91/80,735/918 is 1/1799280.

Greatest Common Factor of 92,91,735

To find the highest common factor of 92,91,735, we have to find the factors of both numbers and list the highest common factor.

The factors of 92 are 1, 2, 4, 23, 46, 92

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

The factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

The HCF of 92,91,735 is 1.

Lets's calculate GCF of 92,91,735

Greatest Common Factor (GCF) of 92,91,735 By Common Division

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

Greatest Common Factor of 92,91,735 By Matching Biggest Common Factor Method

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 735

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 92,91,735 . The biggest common factor number is the GCF number.
So the greatest common factor 92,91,735 is 1.

Lets's calculate LCM of 98,80,918

Lowest Common Multiple of 98,80,918 using Common Division

2	98, 80, 918
	49, 40, 459

∴ So the LCM of the given numbers is 2 x 49 x 40 x 459 = 1799280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1799280

Therefore, the GCF of Fractions 92/98,91/80,735/918 is 1/1799280

Least Common Multiple of 98,80,918 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 98,80,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(98,80,918) = 2

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

GCF(98,80,918) x common factors =2 x 2 = 4

LCM(98,80,918) = ( 98 × 80 × 918 ) / 4

LCM(98,80,918) = 7197120 / 4

LCM(98,80,918) = 1799280

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 92/98, 91/80, 735/918

1. What is the HCF of 92,91,735?

The HCF of 92,91,735 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 92/98, 91/80, 735/918?

Answer: GCF of Numerators as per given numbers 92/98, 91/80, 735/918 is

GCF of Numerators i.e. for 92,91,735 is 1

LCM of denominators i.e. for 98,80,918 is 1799280.

Thus, GCF of Fractions is 1/1799280.Finally, GCF of Fractions for 92/98, 91/80, 735/918 is 1/1799280.