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GCF of 9407/486, 6691/9241

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 9407/486, 6691/9241 i.e 1/4491126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9407/486, 6691/9241.

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 9407/486,6691/9241?

Given fractions are 9407/486,6691/9241

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 9407/486,6691/9241, numerators are 9407,6691

Denominators are 486,9241

The GCF of 9407,6691 is 1 .

LCM of 486,9241 is 4491126.

The greatest common factor of 9407/486,6691/9241 = [GCF of 9407,6691]/[LCM of 486,9241]= 1/4491126

Therefore, the GCF of 9407/486,6691/9241 is 1/4491126.

Greatest Common Factor of 9407,6691

To find the highest common factor of 9407,6691, we have to find the factors of both numbers and list the highest common factor.

The factors of 9407 are 1, 23, 409, 9407

The factors of 6691 are 1, 6691

The HCF of 9407,6691 is 1.

Lets's calculate GCF of 9407,6691

Greatest Common Factor (GCF) of 9407,6691 By Common Division

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

Greatest Common Factor of 9407,6691 By Matching Biggest Common Factor Method

Greatest Common Factor of 9407,6691 By Matching Biggest Common Factor Method

Now, list down the factors of 9407

:

1,23,409,9407

Now, list down the factors of 6691

:

1,6691

Greatest Common Factor

We found the factors 9407,6691 . The biggest common factor number is the GCF number.
So the greatest common factor 9407,6691 is 1.

Lets's calculate LCM of 486,9241

Lowest Common Multiple of 486,9241 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4491126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4491126

Therefore, the GCF of Fractions 9407/486,6691/9241 is 1/4491126

Least Common Multiple of 486,9241 with GCF Formula

Least Common Multiple of 486,9241 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 486,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,9241) = 1

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

GCF(486,9241) x common factors =1 x 1 = 1

LCM(486,9241) = ( 486 × 9241 ) / 1

LCM(486,9241) = 4491126 / 1

LCM(486,9241) = 4491126


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FAQs on GCF of Fractions of 9407/486, 6691/9241

1. What is the HCF of 9407,6691?

The HCF of 9407,6691 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 9407/486, 6691/9241?

Answer: GCF of Numerators as per given numbers 9407/486, 6691/9241 is

GCF of Numerators i.e. for 9407,6691 is 1

LCM of denominators i.e. for 486,9241 is 4491126.

Thus, GCF of Fractions is 1/4491126.Finally, GCF of Fractions for 9407/486, 6691/9241 is 1/4491126.