How to Find GCF of 9606/971, 8744/1461?

GCF of 9606/971, 8744/1461

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 9606/971, 8744/1461 i.e 2/1418631 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9606/971, 8744/1461.

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 9606/971,8744/1461?

Given fractions are 9606/971,8744/1461

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 9606/971,8744/1461, numerators are 9606,8744

Denominators are 971,1461

The GCF of 9606,8744 is 2 .

LCM of 971,1461 is 1418631.

The greatest common factor of 9606/971,8744/1461 = [GCF of 9606,8744]/[LCM of 971,1461]= 2/1418631

Therefore, the GCF of 9606/971,8744/1461 is 2/1418631.

Greatest Common Factor of 9606,8744

To find the highest common factor of 9606,8744, we have to find the factors of both numbers and list the highest common factor.

The factors of 9606 are 1, 2, 3, 6, 1601, 3202, 4803, 9606

The factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744

The HCF of 9606,8744 is 2.

Lets's calculate GCF of 9606,8744

Greatest Common Factor (GCF) of 9606,8744 By Common Division

2	9606, 8744
	4803, 4372

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9606,8744 By Matching Biggest Common Factor Method

Now, list down the factors of 9606

1,2,3,6,1601,3202,4803,9606

Now, list down the factors of 8744

1,2,4,8,1093,2186,4372,8744

Greatest Common Factor

We found the factors 9606,8744 . The biggest common factor number is the GCF number.
So the greatest common factor 9606,8744 is 2.

Lets's calculate LCM of 971,1461

Lowest Common Multiple of 971,1461 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1418631

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1418631

Therefore, the GCF of Fractions 9606/971,8744/1461 is 2/1418631

Least Common Multiple of 971,1461 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 971,1461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(971,1461) = 1

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

GCF(971,1461) x common factors =1 x 1 = 1

LCM(971,1461) = ( 971 × 1461 ) / 1

LCM(971,1461) = 1418631 / 1

LCM(971,1461) = 1418631

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FAQs on GCF of Fractions of 9606/971, 8744/1461

1. What is the HCF of 9606,8744?

The HCF of 9606,8744 is 2

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 9606/971, 8744/1461?

Answer: GCF of Numerators as per given numbers 9606/971, 8744/1461 is

GCF of Numerators i.e. for 9606,8744 is 2

LCM of denominators i.e. for 971,1461 is 1418631.

Thus, GCF of Fractions is 2/1418631.Finally, GCF of Fractions for 9606/971, 8744/1461 is 2/1418631.