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GCF of 9391/980, 8396/4065

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 9391/980, 8396/4065 i.e 1/796740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9391/980, 8396/4065.

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 9391/980,8396/4065?

Given fractions are 9391/980,8396/4065

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 9391/980,8396/4065, numerators are 9391,8396

Denominators are 980,4065

The GCF of 9391,8396 is 1 .

LCM of 980,4065 is 796740.

The greatest common factor of 9391/980,8396/4065 = [GCF of 9391,8396]/[LCM of 980,4065]= 1/796740

Therefore, the GCF of 9391/980,8396/4065 is 1/796740.

Greatest Common Factor of 9391,8396

To find the highest common factor of 9391,8396, we have to find the factors of both numbers and list the highest common factor.

The factors of 9391 are 1, 9391

The factors of 8396 are 1, 2, 4, 2099, 4198, 8396

The HCF of 9391,8396 is 1.

Lets's calculate GCF of 9391,8396

Greatest Common Factor (GCF) of 9391,8396 By Common Division

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

Greatest Common Factor of 9391,8396 By Matching Biggest Common Factor Method

Greatest Common Factor of 9391,8396 By Matching Biggest Common Factor Method

Now, list down the factors of 9391

:

1,9391

Now, list down the factors of 8396

:

1,2,4,2099,4198,8396

Greatest Common Factor

We found the factors 9391,8396 . The biggest common factor number is the GCF number.
So the greatest common factor 9391,8396 is 1.

Lets's calculate LCM of 980,4065

Lowest Common Multiple of 980,4065 using Common Division

5 980, 4065
196, 813

∴ So the LCM of the given numbers is 5 x 196 x 813 = 796740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/796740

Therefore, the GCF of Fractions 9391/980,8396/4065 is 1/796740

Least Common Multiple of 980,4065 with GCF Formula

Least Common Multiple of 980,4065 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 980,4065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,4065) = 5

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

GCF(980,4065) x common factors =5 x 1 = 5

LCM(980,4065) = ( 980 × 4065 ) / 5

LCM(980,4065) = 3983700 / 5

LCM(980,4065) = 796740


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FAQs on GCF of Fractions of 9391/980, 8396/4065

1. What is the HCF of 9391,8396?

The HCF of 9391,8396 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 9391/980, 8396/4065?

Answer: GCF of Numerators as per given numbers 9391/980, 8396/4065 is

GCF of Numerators i.e. for 9391,8396 is 1

LCM of denominators i.e. for 980,4065 is 796740.

Thus, GCF of Fractions is 1/796740.Finally, GCF of Fractions for 9391/980, 8396/4065 is 1/796740.