How to Find GCF of 7971/167, 9919/662?

GCF of 7971/167, 9919/662

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 7971/167, 9919/662 i.e 1/110554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7971/167, 9919/662.

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 7971/167,9919/662?

Given fractions are 7971/167,9919/662

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 7971/167,9919/662, numerators are 7971,9919

Denominators are 167,662

The GCF of 7971,9919 is 1 .

LCM of 167,662 is 110554.

The greatest common factor of 7971/167,9919/662 = [GCF of 7971,9919]/[LCM of 167,662]= 1/110554

Therefore, the GCF of 7971/167,9919/662 is 1/110554.

Greatest Common Factor of 7971,9919

To find the highest common factor of 7971,9919, we have to find the factors of both numbers and list the highest common factor.

The factors of 7971 are 1, 3, 2657, 7971

The factors of 9919 are 1, 7, 13, 91, 109, 763, 1417, 9919

The HCF of 7971,9919 is 1.

Lets's calculate GCF of 7971,9919

Greatest Common Factor (GCF) of 7971,9919 By Common Division

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

Greatest Common Factor of 7971,9919 By Matching Biggest Common Factor Method

Now, list down the factors of 7971

1,3,2657,7971

Now, list down the factors of 9919

1,7,13,91,109,763,1417,9919

Greatest Common Factor

We found the factors 7971,9919 . The biggest common factor number is the GCF number.
So the greatest common factor 7971,9919 is 1.

Lets's calculate LCM of 167,662

Lowest Common Multiple of 167,662 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 110554

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/110554

Therefore, the GCF of Fractions 7971/167,9919/662 is 1/110554

Least Common Multiple of 167,662 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 167,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(167,662) = 1

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

GCF(167,662) x common factors =1 x 1 = 1

LCM(167,662) = ( 167 × 662 ) / 1

LCM(167,662) = 110554 / 1

LCM(167,662) = 110554

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FAQs on GCF of Fractions of 7971/167, 9919/662

1. What is the HCF of 7971,9919?

The HCF of 7971,9919 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 7971/167, 9919/662?

Answer: GCF of Numerators as per given numbers 7971/167, 9919/662 is

GCF of Numerators i.e. for 7971,9919 is 1

LCM of denominators i.e. for 167,662 is 110554.

Thus, GCF of Fractions is 1/110554.Finally, GCF of Fractions for 7971/167, 9919/662 is 1/110554.