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GCF of 9337/942, 3421/8541

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 9337/942, 3421/8541 i.e 1/2681874 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9337/942, 3421/8541.

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 9337/942,3421/8541?

Given fractions are 9337/942,3421/8541

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 9337/942,3421/8541, numerators are 9337,3421

Denominators are 942,8541

The GCF of 9337,3421 is 1 .

LCM of 942,8541 is 2681874.

The greatest common factor of 9337/942,3421/8541 = [GCF of 9337,3421]/[LCM of 942,8541]= 1/2681874

Therefore, the GCF of 9337/942,3421/8541 is 1/2681874.

Greatest Common Factor of 9337,3421

To find the highest common factor of 9337,3421, we have to find the factors of both numbers and list the highest common factor.

The factors of 9337 are 1, 9337

The factors of 3421 are 1, 11, 311, 3421

The HCF of 9337,3421 is 1.

Lets's calculate GCF of 9337,3421

Greatest Common Factor (GCF) of 9337,3421 By Common Division

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

Greatest Common Factor of 9337,3421 By Matching Biggest Common Factor Method

Greatest Common Factor of 9337,3421 By Matching Biggest Common Factor Method

Now, list down the factors of 9337

:

1,9337

Now, list down the factors of 3421

:

1,11,311,3421

Greatest Common Factor

We found the factors 9337,3421 . The biggest common factor number is the GCF number.
So the greatest common factor 9337,3421 is 1.

Lets's calculate LCM of 942,8541

Lowest Common Multiple of 942,8541 using Common Division

3 942, 8541
314, 2847

∴ So the LCM of the given numbers is 3 x 314 x 2847 = 2681874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2681874

Therefore, the GCF of Fractions 9337/942,3421/8541 is 1/2681874

Least Common Multiple of 942,8541 with GCF Formula

Least Common Multiple of 942,8541 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 942,8541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(942,8541) = 3

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

GCF(942,8541) x common factors =3 x 1 = 3

LCM(942,8541) = ( 942 × 8541 ) / 3

LCM(942,8541) = 8045622 / 3

LCM(942,8541) = 2681874


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FAQs on GCF of Fractions of 9337/942, 3421/8541

1. What is the HCF of 9337,3421?

The HCF of 9337,3421 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 9337/942, 3421/8541?

Answer: GCF of Numerators as per given numbers 9337/942, 3421/8541 is

GCF of Numerators i.e. for 9337,3421 is 1

LCM of denominators i.e. for 942,8541 is 2681874.

Thus, GCF of Fractions is 1/2681874.Finally, GCF of Fractions for 9337/942, 3421/8541 is 1/2681874.