How to Find GCF of 9262/502, 9909/8242?

GCF of 9262/502, 9909/8242

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 9262/502, 9909/8242 i.e 1/2068742 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9262/502, 9909/8242.

Enter two or more fractions separated by "commas"

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

What is the GCF of 9262/502,9909/8242?

Given fractions are 9262/502,9909/8242

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 9262/502,9909/8242, numerators are 9262,9909

Denominators are 502,8242

The GCF of 9262,9909 is 1 .

LCM of 502,8242 is 2068742.

The greatest common factor of 9262/502,9909/8242 = [GCF of 9262,9909]/[LCM of 502,8242]= 1/2068742

Therefore, the GCF of 9262/502,9909/8242 is 1/2068742.

Greatest Common Factor of 9262,9909

To find the highest common factor of 9262,9909, we have to find the factors of both numbers and list the highest common factor.

The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262

The factors of 9909 are 1, 3, 9, 27, 367, 1101, 3303, 9909

The HCF of 9262,9909 is 1.

Lets's calculate GCF of 9262,9909

Greatest Common Factor (GCF) of 9262,9909 By Common Division

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

Greatest Common Factor of 9262,9909 By Matching Biggest Common Factor Method

Now, list down the factors of 9262

1,2,11,22,421,842,4631,9262

Now, list down the factors of 9909

1,3,9,27,367,1101,3303,9909

Greatest Common Factor

We found the factors 9262,9909 . The biggest common factor number is the GCF number.
So the greatest common factor 9262,9909 is 1.

Lets's calculate LCM of 502,8242

Lowest Common Multiple of 502,8242 using Common Division

2	502, 8242
	251, 4121

∴ So the LCM of the given numbers is 2 x 251 x 4121 = 2068742

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2068742

Therefore, the GCF of Fractions 9262/502,9909/8242 is 1/2068742

Least Common Multiple of 502,8242 with GCF Formula

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

We need to calculate greatest common factor of 502,8242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(502,8242) = 2

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

GCF(502,8242) x common factors =2 x 1 = 2

LCM(502,8242) = ( 502 × 8242 ) / 2

LCM(502,8242) = 4137484 / 2

LCM(502,8242) = 2068742

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FAQs on GCF of Fractions of 9262/502, 9909/8242

1. What is the HCF of 9262,9909?

The HCF of 9262,9909 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 9262/502, 9909/8242?

Answer: GCF of Numerators as per given numbers 9262/502, 9909/8242 is

GCF of Numerators i.e. for 9262,9909 is 1

LCM of denominators i.e. for 502,8242 is 2068742.

Thus, GCF of Fractions is 1/2068742.Finally, GCF of Fractions for 9262/502, 9909/8242 is 1/2068742.