How to Find GCF of 60/43, 92/98, 981/470?

GCF of 60/43, 92/98, 981/470

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 60/43, 92/98, 981/470 i.e 1/990290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 60/43, 92/98, 981/470.

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 60/43,92/98,981/470?

Given fractions are 60/43,92/98,981/470

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 60/43,92/98,981/470, numerators are 60,92,981

Denominators are 43,98,470

The GCF of 60,92,981 is 1 .

LCM of 43,98,470 is 990290.

The greatest common factor of 60/43,92/98,981/470 = [GCF of 60,92,981]/[LCM of 43,98,470]= 1/990290

Therefore, the GCF of 60/43,92/98,981/470 is 1/990290.

Greatest Common Factor of 60,92,981

To find the highest common factor of 60,92,981, we have to find the factors of both numbers and list the highest common factor.

The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

The factors of 981 are 1, 3, 9, 109, 327, 981

The HCF of 60,92,981 is 1.

Lets's calculate GCF of 60,92,981

Greatest Common Factor (GCF) of 60,92,981 By Common Division

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

Greatest Common Factor of 60,92,981 By Matching Biggest Common Factor Method

Now, list down the factors of 60

1,2,3,4,5,6,10,12,15,20,30,60

Now, list down the factors of 92

1,2,4,23,46,92

Now, list down the factors of 981

1,3,9,109,327,981

Greatest Common Factor

We found the factors 60,92,981 . The biggest common factor number is the GCF number.
So the greatest common factor 60,92,981 is 1.

Lets's calculate LCM of 43,98,470

Lowest Common Multiple of 43,98,470 using Common Division

2	43, 98, 470
	43, 49, 235

∴ So the LCM of the given numbers is 2 x 43 x 49 x 235 = 990290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/990290

Therefore, the GCF of Fractions 60/43,92/98,981/470 is 1/990290

Least Common Multiple of 43,98,470 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 43,98,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,98,470) = 1

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

GCF(43,98,470) x common factors =1 x 2 = 2

LCM(43,98,470) = ( 43 × 98 × 470 ) / 2

LCM(43,98,470) = 1980580 / 2

LCM(43,98,470) = 990290

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 60/43, 92/98, 981/470

1. What is the HCF of 60,92,981?

The HCF of 60,92,981 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 60/43, 92/98, 981/470?

Answer: GCF of Numerators as per given numbers 60/43, 92/98, 981/470 is

GCF of Numerators i.e. for 60,92,981 is 1

LCM of denominators i.e. for 43,98,470 is 990290.

Thus, GCF of Fractions is 1/990290.Finally, GCF of Fractions for 60/43, 92/98, 981/470 is 1/990290.