How to Find GCF of 9097/404, 8024/3706?

GCF of 9097/404, 8024/3706

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 9097/404, 8024/3706 i.e 1/748612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9097/404, 8024/3706.

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 9097/404,8024/3706?

Given fractions are 9097/404,8024/3706

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 9097/404,8024/3706, numerators are 9097,8024

Denominators are 404,3706

The GCF of 9097,8024 is 1 .

LCM of 404,3706 is 748612.

The greatest common factor of 9097/404,8024/3706 = [GCF of 9097,8024]/[LCM of 404,3706]= 1/748612

Therefore, the GCF of 9097/404,8024/3706 is 1/748612.

Greatest Common Factor of 9097,8024

To find the highest common factor of 9097,8024, we have to find the factors of both numbers and list the highest common factor.

The factors of 9097 are 1, 11, 827, 9097

The factors of 8024 are 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024

The HCF of 9097,8024 is 1.

Lets's calculate GCF of 9097,8024

Greatest Common Factor (GCF) of 9097,8024 By Common Division

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

Greatest Common Factor of 9097,8024 By Matching Biggest Common Factor Method

Now, list down the factors of 9097

1,11,827,9097

Now, list down the factors of 8024

1,2,4,8,17,34,59,68,118,136,236,472,1003,2006,4012,8024

Greatest Common Factor

We found the factors 9097,8024 . The biggest common factor number is the GCF number.
So the greatest common factor 9097,8024 is 1.

Lets's calculate LCM of 404,3706

Lowest Common Multiple of 404,3706 using Common Division

2	404, 3706
	202, 1853

∴ So the LCM of the given numbers is 2 x 202 x 1853 = 748612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/748612

Therefore, the GCF of Fractions 9097/404,8024/3706 is 1/748612

Least Common Multiple of 404,3706 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 404,3706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(404,3706) = 2

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

GCF(404,3706) x common factors =2 x 1 = 2

LCM(404,3706) = ( 404 × 3706 ) / 2

LCM(404,3706) = 1497224 / 2

LCM(404,3706) = 748612

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FAQs on GCF of Fractions of 9097/404, 8024/3706

1. What is the HCF of 9097,8024?

The HCF of 9097,8024 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 9097/404, 8024/3706?

Answer: GCF of Numerators as per given numbers 9097/404, 8024/3706 is

GCF of Numerators i.e. for 9097,8024 is 1

LCM of denominators i.e. for 404,3706 is 748612.

Thus, GCF of Fractions is 1/748612.Finally, GCF of Fractions for 9097/404, 8024/3706 is 1/748612.