How to Find GCF of 8911/986, 3940/2482?

GCF of 8911/986, 3940/2482

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 8911/986, 3940/2482 i.e 1/71978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8911/986, 3940/2482.

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 8911/986,3940/2482?

Given fractions are 8911/986,3940/2482

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 8911/986,3940/2482, numerators are 8911,3940

Denominators are 986,2482

The GCF of 8911,3940 is 1 .

LCM of 986,2482 is 71978.

The greatest common factor of 8911/986,3940/2482 = [GCF of 8911,3940]/[LCM of 986,2482]= 1/71978

Therefore, the GCF of 8911/986,3940/2482 is 1/71978.

Greatest Common Factor of 8911,3940

To find the highest common factor of 8911,3940, we have to find the factors of both numbers and list the highest common factor.

The factors of 8911 are 1, 7, 19, 67, 133, 469, 1273, 8911

The factors of 3940 are 1, 2, 4, 5, 10, 20, 197, 394, 788, 985, 1970, 3940

The HCF of 8911,3940 is 1.

Lets's calculate GCF of 8911,3940

Greatest Common Factor (GCF) of 8911,3940 By Common Division

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

Greatest Common Factor of 8911,3940 By Matching Biggest Common Factor Method

Now, list down the factors of 8911

1,7,19,67,133,469,1273,8911

Now, list down the factors of 3940

1,2,4,5,10,20,197,394,788,985,1970,3940

Greatest Common Factor

We found the factors 8911,3940 . The biggest common factor number is the GCF number.
So the greatest common factor 8911,3940 is 1.

Lets's calculate LCM of 986,2482

Lowest Common Multiple of 986,2482 using Common Division

2	986, 2482
17	493, 1241
	29, 73

∴ So the LCM of the given numbers is 2 x 17 x 29 x 73 = 71978

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71978

Therefore, the GCF of Fractions 8911/986,3940/2482 is 1/71978

Least Common Multiple of 986,2482 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 986,2482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(986,2482) = 34

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

GCF(986,2482) x common factors =34 x 1 = 34

LCM(986,2482) = ( 986 × 2482 ) / 34

LCM(986,2482) = 2447252 / 34

LCM(986,2482) = 71978

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8911/986, 3940/2482

1. What is the HCF of 8911,3940?

The HCF of 8911,3940 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 8911/986, 3940/2482?

Answer: GCF of Numerators as per given numbers 8911/986, 3940/2482 is

GCF of Numerators i.e. for 8911,3940 is 1

LCM of denominators i.e. for 986,2482 is 71978.

Thus, GCF of Fractions is 1/71978.Finally, GCF of Fractions for 8911/986, 3940/2482 is 1/71978.