How to Find GCF of 9487/712, 2661/1724?

GCF of 9487/712, 2661/1724

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 9487/712, 2661/1724 i.e 1/306872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9487/712, 2661/1724.

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 9487/712,2661/1724?

Given fractions are 9487/712,2661/1724

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 9487/712,2661/1724, numerators are 9487,2661

Denominators are 712,1724

The GCF of 9487,2661 is 1 .

LCM of 712,1724 is 306872.

The greatest common factor of 9487/712,2661/1724 = [GCF of 9487,2661]/[LCM of 712,1724]= 1/306872

Therefore, the GCF of 9487/712,2661/1724 is 1/306872.

Greatest Common Factor of 9487,2661

To find the highest common factor of 9487,2661, we have to find the factors of both numbers and list the highest common factor.

The factors of 9487 are 1, 53, 179, 9487

The factors of 2661 are 1, 3, 887, 2661

The HCF of 9487,2661 is 1.

Lets's calculate GCF of 9487,2661

Greatest Common Factor (GCF) of 9487,2661 By Common Division

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

Greatest Common Factor of 9487,2661 By Matching Biggest Common Factor Method

Now, list down the factors of 9487

1,53,179,9487

Now, list down the factors of 2661

1,3,887,2661

Greatest Common Factor

We found the factors 9487,2661 . The biggest common factor number is the GCF number.
So the greatest common factor 9487,2661 is 1.

Lets's calculate LCM of 712,1724

Lowest Common Multiple of 712,1724 using Common Division

2	712, 1724
2	356, 862
	178, 431

∴ So the LCM of the given numbers is 2 x 2 x 178 x 431 = 306872

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/306872

Therefore, the GCF of Fractions 9487/712,2661/1724 is 1/306872

Least Common Multiple of 712,1724 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 712,1724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,1724) = 4

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

GCF(712,1724) x common factors =4 x 1 = 4

LCM(712,1724) = ( 712 × 1724 ) / 4

LCM(712,1724) = 1227488 / 4

LCM(712,1724) = 306872

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FAQs on GCF of Fractions of 9487/712, 2661/1724

1. What is the HCF of 9487,2661?

The HCF of 9487,2661 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 9487/712, 2661/1724?

Answer: GCF of Numerators as per given numbers 9487/712, 2661/1724 is

GCF of Numerators i.e. for 9487,2661 is 1

LCM of denominators i.e. for 712,1724 is 306872.

Thus, GCF of Fractions is 1/306872.Finally, GCF of Fractions for 9487/712, 2661/1724 is 1/306872.