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GCF of 9397/530, 8423/2322

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 9397/530, 8423/2322 i.e 1/615330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9397/530, 8423/2322.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9397/530,8423/2322?

Given fractions are 9397/530,8423/2322

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 9397/530,8423/2322, numerators are 9397,8423

Denominators are 530,2322

The GCF of 9397,8423 is 1 .

LCM of 530,2322 is 615330.

The greatest common factor of 9397/530,8423/2322 = [GCF of 9397,8423]/[LCM of 530,2322]= 1/615330

Therefore, the GCF of 9397/530,8423/2322 is 1/615330.

Greatest Common Factor of 9397,8423

To find the highest common factor of 9397,8423, we have to find the factors of both numbers and list the highest common factor.

The factors of 9397 are 1, 9397

The factors of 8423 are 1, 8423

The HCF of 9397,8423 is 1.

Lets's calculate GCF of 9397,8423

Greatest Common Factor (GCF) of 9397,8423 By Common Division

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

Greatest Common Factor of 9397,8423 By Matching Biggest Common Factor Method

Greatest Common Factor of 9397,8423 By Matching Biggest Common Factor Method

Now, list down the factors of 9397

:

1,9397

Now, list down the factors of 8423

:

1,8423

Greatest Common Factor

We found the factors 9397,8423 . The biggest common factor number is the GCF number.
So the greatest common factor 9397,8423 is 1.

Lets's calculate LCM of 530,2322

Lowest Common Multiple of 530,2322 using Common Division

2 530, 2322
265, 1161

∴ So the LCM of the given numbers is 2 x 265 x 1161 = 615330

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/615330

Therefore, the GCF of Fractions 9397/530,8423/2322 is 1/615330

Least Common Multiple of 530,2322 with GCF Formula

Least Common Multiple of 530,2322 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 530,2322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,2322) = 2

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

GCF(530,2322) x common factors =2 x 1 = 2

LCM(530,2322) = ( 530 × 2322 ) / 2

LCM(530,2322) = 1230660 / 2

LCM(530,2322) = 615330


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FAQs on GCF of Fractions of 9397/530, 8423/2322

1. What is the HCF of 9397,8423?

The HCF of 9397,8423 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 9397/530, 8423/2322?

Answer: GCF of Numerators as per given numbers 9397/530, 8423/2322 is

GCF of Numerators i.e. for 9397,8423 is 1

LCM of denominators i.e. for 530,2322 is 615330.

Thus, GCF of Fractions is 1/615330.Finally, GCF of Fractions for 9397/530, 8423/2322 is 1/615330.