How to Find GCF of 9470/970, 2473/9566?

GCF of 9470/970, 2473/9566

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 9470/970, 2473/9566 i.e 1/4639510 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9470/970, 2473/9566.

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 9470/970,2473/9566?

Given fractions are 9470/970,2473/9566

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 9470/970,2473/9566, numerators are 9470,2473

Denominators are 970,9566

The GCF of 9470,2473 is 1 .

LCM of 970,9566 is 4639510.

The greatest common factor of 9470/970,2473/9566 = [GCF of 9470,2473]/[LCM of 970,9566]= 1/4639510

Therefore, the GCF of 9470/970,2473/9566 is 1/4639510.

Greatest Common Factor of 9470,2473

To find the highest common factor of 9470,2473, we have to find the factors of both numbers and list the highest common factor.

The factors of 9470 are 1, 2, 5, 10, 947, 1894, 4735, 9470

The factors of 2473 are 1, 2473

The HCF of 9470,2473 is 1.

Lets's calculate GCF of 9470,2473

Greatest Common Factor (GCF) of 9470,2473 By Common Division

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

Greatest Common Factor of 9470,2473 By Matching Biggest Common Factor Method

Now, list down the factors of 9470

1,2,5,10,947,1894,4735,9470

Now, list down the factors of 2473

1,2473

Greatest Common Factor

We found the factors 9470,2473 . The biggest common factor number is the GCF number.
So the greatest common factor 9470,2473 is 1.

Lets's calculate LCM of 970,9566

Lowest Common Multiple of 970,9566 using Common Division

2	970, 9566
	485, 4783

∴ So the LCM of the given numbers is 2 x 485 x 4783 = 4639510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4639510

Therefore, the GCF of Fractions 9470/970,2473/9566 is 1/4639510

Least Common Multiple of 970,9566 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 970,9566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(970,9566) = 2

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

GCF(970,9566) x common factors =2 x 1 = 2

LCM(970,9566) = ( 970 × 9566 ) / 2

LCM(970,9566) = 9279020 / 2

LCM(970,9566) = 4639510

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FAQs on GCF of Fractions of 9470/970, 2473/9566

1. What is the HCF of 9470,2473?

The HCF of 9470,2473 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 9470/970, 2473/9566?

Answer: GCF of Numerators as per given numbers 9470/970, 2473/9566 is

GCF of Numerators i.e. for 9470,2473 is 1

LCM of denominators i.e. for 970,9566 is 4639510.

Thus, GCF of Fractions is 1/4639510.Finally, GCF of Fractions for 9470/970, 2473/9566 is 1/4639510.