How to Find GCF of 981/42, 404/8546?

GCF of 981/42, 404/8546

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 981/42, 404/8546 i.e 1/179466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 981/42, 404/8546.

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 981/42,404/8546?

Given fractions are 981/42,404/8546

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 981/42,404/8546, numerators are 981,404

Denominators are 42,8546

The GCF of 981,404 is 1 .

LCM of 42,8546 is 179466.

The greatest common factor of 981/42,404/8546 = [GCF of 981,404]/[LCM of 42,8546]= 1/179466

Therefore, the GCF of 981/42,404/8546 is 1/179466.

Greatest Common Factor of 981,404

To find the highest common factor of 981,404, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 404 are 1, 2, 4, 101, 202, 404

The HCF of 981,404 is 1.

Lets's calculate GCF of 981,404

Greatest Common Factor (GCF) of 981,404 By Common Division

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

Greatest Common Factor of 981,404 By Matching Biggest Common Factor Method

Now, list down the factors of 981

1,3,9,109,327,981

Now, list down the factors of 404

1,2,4,101,202,404

Greatest Common Factor

We found the factors 981,404 . The biggest common factor number is the GCF number.
So the greatest common factor 981,404 is 1.

Lets's calculate LCM of 42,8546

Lowest Common Multiple of 42,8546 using Common Division

2	42, 8546
	21, 4273

∴ So the LCM of the given numbers is 2 x 21 x 4273 = 179466

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/179466

Therefore, the GCF of Fractions 981/42,404/8546 is 1/179466

Least Common Multiple of 42,8546 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 42,8546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,8546) = 2

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

GCF(42,8546) x common factors =2 x 1 = 2

LCM(42,8546) = ( 42 × 8546 ) / 2

LCM(42,8546) = 358932 / 2

LCM(42,8546) = 179466

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FAQs on GCF of Fractions of 981/42, 404/8546

1. What is the HCF of 981,404?

The HCF of 981,404 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 981/42, 404/8546?

Answer: GCF of Numerators as per given numbers 981/42, 404/8546 is

GCF of Numerators i.e. for 981,404 is 1

LCM of denominators i.e. for 42,8546 is 179466.

Thus, GCF of Fractions is 1/179466.Finally, GCF of Fractions for 981/42, 404/8546 is 1/179466.