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GCF of 9274/811, 5737/9840

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 9274/811, 5737/9840 i.e 1/7980240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9274/811, 5737/9840.

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 9274/811,5737/9840?

Given fractions are 9274/811,5737/9840

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 9274/811,5737/9840, numerators are 9274,5737

Denominators are 811,9840

The GCF of 9274,5737 is 1 .

LCM of 811,9840 is 7980240.

The greatest common factor of 9274/811,5737/9840 = [GCF of 9274,5737]/[LCM of 811,9840]= 1/7980240

Therefore, the GCF of 9274/811,5737/9840 is 1/7980240.

Greatest Common Factor of 9274,5737

To find the highest common factor of 9274,5737, we have to find the factors of both numbers and list the highest common factor.

The factors of 9274 are 1, 2, 4637, 9274

The factors of 5737 are 1, 5737

The HCF of 9274,5737 is 1.

Lets's calculate GCF of 9274,5737

Greatest Common Factor (GCF) of 9274,5737 By Common Division

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

Greatest Common Factor of 9274,5737 By Matching Biggest Common Factor Method

Greatest Common Factor of 9274,5737 By Matching Biggest Common Factor Method

Now, list down the factors of 9274

:

1,2,4637,9274

Now, list down the factors of 5737

:

1,5737

Greatest Common Factor

We found the factors 9274,5737 . The biggest common factor number is the GCF number.
So the greatest common factor 9274,5737 is 1.

Lets's calculate LCM of 811,9840

Lowest Common Multiple of 811,9840 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7980240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7980240

Therefore, the GCF of Fractions 9274/811,5737/9840 is 1/7980240

Least Common Multiple of 811,9840 with GCF Formula

Least Common Multiple of 811,9840 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 811,9840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(811,9840) = 1

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

GCF(811,9840) x common factors =1 x 1 = 1

LCM(811,9840) = ( 811 × 9840 ) / 1

LCM(811,9840) = 7980240 / 1

LCM(811,9840) = 7980240


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9274/811, 5737/9840

1. What is the HCF of 9274,5737?

The HCF of 9274,5737 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 9274/811, 5737/9840?

Answer: GCF of Numerators as per given numbers 9274/811, 5737/9840 is

GCF of Numerators i.e. for 9274,5737 is 1

LCM of denominators i.e. for 811,9840 is 7980240.

Thus, GCF of Fractions is 1/7980240.Finally, GCF of Fractions for 9274/811, 5737/9840 is 1/7980240.