How to Find GCF of 9245/404, 1474/6821?

GCF of 9245/404, 1474/6821

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 9245/404, 1474/6821 i.e 1/2755684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9245/404, 1474/6821.

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 9245/404,1474/6821?

Given fractions are 9245/404,1474/6821

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 9245/404,1474/6821, numerators are 9245,1474

Denominators are 404,6821

The GCF of 9245,1474 is 1 .

LCM of 404,6821 is 2755684.

The greatest common factor of 9245/404,1474/6821 = [GCF of 9245,1474]/[LCM of 404,6821]= 1/2755684

Therefore, the GCF of 9245/404,1474/6821 is 1/2755684.

Greatest Common Factor of 9245,1474

To find the highest common factor of 9245,1474, we have to find the factors of both numbers and list the highest common factor.

The factors of 9245 are 1, 5, 43, 215, 1849, 9245

The factors of 1474 are 1, 2, 11, 22, 67, 134, 737, 1474

The HCF of 9245,1474 is 1.

Lets's calculate GCF of 9245,1474

Greatest Common Factor (GCF) of 9245,1474 By Common Division

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

Greatest Common Factor of 9245,1474 By Matching Biggest Common Factor Method

Now, list down the factors of 9245

1,5,43,215,1849,9245

Now, list down the factors of 1474

1,2,11,22,67,134,737,1474

Greatest Common Factor

We found the factors 9245,1474 . The biggest common factor number is the GCF number.
So the greatest common factor 9245,1474 is 1.

Lets's calculate LCM of 404,6821

Lowest Common Multiple of 404,6821 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2755684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2755684

Therefore, the GCF of Fractions 9245/404,1474/6821 is 1/2755684

Least Common Multiple of 404,6821 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 404,6821 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,6821) = 1

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

GCF(404,6821) x common factors =1 x 1 = 1

LCM(404,6821) = ( 404 × 6821 ) / 1

LCM(404,6821) = 2755684 / 1

LCM(404,6821) = 2755684

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FAQs on GCF of Fractions of 9245/404, 1474/6821

1. What is the HCF of 9245,1474?

The HCF of 9245,1474 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 9245/404, 1474/6821?

Answer: GCF of Numerators as per given numbers 9245/404, 1474/6821 is

GCF of Numerators i.e. for 9245,1474 is 1

LCM of denominators i.e. for 404,6821 is 2755684.

Thus, GCF of Fractions is 1/2755684.Finally, GCF of Fractions for 9245/404, 1474/6821 is 1/2755684.