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GCF of 2441/423, 9206/718

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 2441/423, 9206/718 i.e 1/303714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2441/423, 9206/718.

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 2441/423,9206/718?

Given fractions are 2441/423,9206/718

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 2441/423,9206/718, numerators are 2441,9206

Denominators are 423,718

The GCF of 2441,9206 is 1 .

LCM of 423,718 is 303714.

The greatest common factor of 2441/423,9206/718 = [GCF of 2441,9206]/[LCM of 423,718]= 1/303714

Therefore, the GCF of 2441/423,9206/718 is 1/303714.

Greatest Common Factor of 2441,9206

To find the highest common factor of 2441,9206, we have to find the factors of both numbers and list the highest common factor.

The factors of 2441 are 1, 2441

The factors of 9206 are 1, 2, 4603, 9206

The HCF of 2441,9206 is 1.

Lets's calculate GCF of 2441,9206

Greatest Common Factor (GCF) of 2441,9206 By Common Division

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

Greatest Common Factor of 2441,9206 By Matching Biggest Common Factor Method

Greatest Common Factor of 2441,9206 By Matching Biggest Common Factor Method

Now, list down the factors of 2441

:

1,2441

Now, list down the factors of 9206

:

1,2,4603,9206

Greatest Common Factor

We found the factors 2441,9206 . The biggest common factor number is the GCF number.
So the greatest common factor 2441,9206 is 1.

Lets's calculate LCM of 423,718

Lowest Common Multiple of 423,718 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 303714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/303714

Therefore, the GCF of Fractions 2441/423,9206/718 is 1/303714

Least Common Multiple of 423,718 with GCF Formula

Least Common Multiple of 423,718 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 423,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(423,718) = 1

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

GCF(423,718) x common factors =1 x 1 = 1

LCM(423,718) = ( 423 × 718 ) / 1

LCM(423,718) = 303714 / 1

LCM(423,718) = 303714


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FAQs on GCF of Fractions of 2441/423, 9206/718

1. What is the HCF of 2441,9206?

The HCF of 2441,9206 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 2441/423, 9206/718?

Answer: GCF of Numerators as per given numbers 2441/423, 9206/718 is

GCF of Numerators i.e. for 2441,9206 is 1

LCM of denominators i.e. for 423,718 is 303714.

Thus, GCF of Fractions is 1/303714.Finally, GCF of Fractions for 2441/423, 9206/718 is 1/303714.