How to Find GCF of 9374/705, 6165/9199?

GCF of 9374/705, 6165/9199

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 9374/705, 6165/9199 i.e 1/6485295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9374/705, 6165/9199.

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 9374/705,6165/9199?

Given fractions are 9374/705,6165/9199

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 9374/705,6165/9199, numerators are 9374,6165

Denominators are 705,9199

The GCF of 9374,6165 is 1 .

LCM of 705,9199 is 6485295.

The greatest common factor of 9374/705,6165/9199 = [GCF of 9374,6165]/[LCM of 705,9199]= 1/6485295

Therefore, the GCF of 9374/705,6165/9199 is 1/6485295.

Greatest Common Factor of 9374,6165

To find the highest common factor of 9374,6165, we have to find the factors of both numbers and list the highest common factor.

The factors of 9374 are 1, 2, 43, 86, 109, 218, 4687, 9374

The factors of 6165 are 1, 3, 5, 9, 15, 45, 137, 411, 685, 1233, 2055, 6165

The HCF of 9374,6165 is 1.

Lets's calculate GCF of 9374,6165

Greatest Common Factor (GCF) of 9374,6165 By Common Division

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

Greatest Common Factor of 9374,6165 By Matching Biggest Common Factor Method

Now, list down the factors of 9374

1,2,43,86,109,218,4687,9374

Now, list down the factors of 6165

1,3,5,9,15,45,137,411,685,1233,2055,6165

Greatest Common Factor

We found the factors 9374,6165 . The biggest common factor number is the GCF number.
So the greatest common factor 9374,6165 is 1.

Lets's calculate LCM of 705,9199

Lowest Common Multiple of 705,9199 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6485295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6485295

Therefore, the GCF of Fractions 9374/705,6165/9199 is 1/6485295

Least Common Multiple of 705,9199 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 705,9199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,9199) = 1

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

GCF(705,9199) x common factors =1 x 1 = 1

LCM(705,9199) = ( 705 × 9199 ) / 1

LCM(705,9199) = 6485295 / 1

LCM(705,9199) = 6485295

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FAQs on GCF of Fractions of 9374/705, 6165/9199

1. What is the HCF of 9374,6165?

The HCF of 9374,6165 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 9374/705, 6165/9199?

Answer: GCF of Numerators as per given numbers 9374/705, 6165/9199 is

GCF of Numerators i.e. for 9374,6165 is 1

LCM of denominators i.e. for 705,9199 is 6485295.

Thus, GCF of Fractions is 1/6485295.Finally, GCF of Fractions for 9374/705, 6165/9199 is 1/6485295.