How to Find GCF of 9971/712, 8851/391?

GCF of 9971/712, 8851/391

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 9971/712, 8851/391 i.e 1/278392 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9971/712, 8851/391.

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 9971/712,8851/391?

Given fractions are 9971/712,8851/391

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 9971/712,8851/391, numerators are 9971,8851

Denominators are 712,391

The GCF of 9971,8851 is 1 .

LCM of 712,391 is 278392.

The greatest common factor of 9971/712,8851/391 = [GCF of 9971,8851]/[LCM of 712,391]= 1/278392

Therefore, the GCF of 9971/712,8851/391 is 1/278392.

Greatest Common Factor of 9971,8851

To find the highest common factor of 9971,8851, we have to find the factors of both numbers and list the highest common factor.

The factors of 9971 are 1, 13, 59, 169, 767, 9971

The factors of 8851 are 1, 53, 167, 8851

The HCF of 9971,8851 is 1.

Lets's calculate GCF of 9971,8851

Greatest Common Factor (GCF) of 9971,8851 By Common Division

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

Greatest Common Factor of 9971,8851 By Matching Biggest Common Factor Method

Now, list down the factors of 9971

1,13,59,169,767,9971

Now, list down the factors of 8851

1,53,167,8851

Greatest Common Factor

We found the factors 9971,8851 . The biggest common factor number is the GCF number.
So the greatest common factor 9971,8851 is 1.

Lets's calculate LCM of 712,391

Lowest Common Multiple of 712,391 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 278392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278392

Therefore, the GCF of Fractions 9971/712,8851/391 is 1/278392

Least Common Multiple of 712,391 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 712,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,391) = 1

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

GCF(712,391) x common factors =1 x 1 = 1

LCM(712,391) = ( 712 × 391 ) / 1

LCM(712,391) = 278392 / 1

LCM(712,391) = 278392

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FAQs on GCF of Fractions of 9971/712, 8851/391

1. What is the HCF of 9971,8851?

The HCF of 9971,8851 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 9971/712, 8851/391?

Answer: GCF of Numerators as per given numbers 9971/712, 8851/391 is

GCF of Numerators i.e. for 9971,8851 is 1

LCM of denominators i.e. for 712,391 is 278392.

Thus, GCF of Fractions is 1/278392.Finally, GCF of Fractions for 9971/712, 8851/391 is 1/278392.