How to Find GCF of 9266/300, 9415/2708?

GCF of 9266/300, 9415/2708

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 9266/300, 9415/2708 i.e 1/203100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9266/300, 9415/2708.

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 9266/300,9415/2708?

Given fractions are 9266/300,9415/2708

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 9266/300,9415/2708, numerators are 9266,9415

Denominators are 300,2708

The GCF of 9266,9415 is 1 .

LCM of 300,2708 is 203100.

The greatest common factor of 9266/300,9415/2708 = [GCF of 9266,9415]/[LCM of 300,2708]= 1/203100

Therefore, the GCF of 9266/300,9415/2708 is 1/203100.

Greatest Common Factor of 9266,9415

To find the highest common factor of 9266,9415, we have to find the factors of both numbers and list the highest common factor.

The factors of 9266 are 1, 2, 41, 82, 113, 226, 4633, 9266

The factors of 9415 are 1, 5, 7, 35, 269, 1345, 1883, 9415

The HCF of 9266,9415 is 1.

Lets's calculate GCF of 9266,9415

Greatest Common Factor (GCF) of 9266,9415 By Common Division

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

Greatest Common Factor of 9266,9415 By Matching Biggest Common Factor Method

Now, list down the factors of 9266

1,2,41,82,113,226,4633,9266

Now, list down the factors of 9415

1,5,7,35,269,1345,1883,9415

Greatest Common Factor

We found the factors 9266,9415 . The biggest common factor number is the GCF number.
So the greatest common factor 9266,9415 is 1.

Lets's calculate LCM of 300,2708

Lowest Common Multiple of 300,2708 using Common Division

2	300, 2708
2	150, 1354
	75, 677

∴ So the LCM of the given numbers is 2 x 2 x 75 x 677 = 203100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203100

Therefore, the GCF of Fractions 9266/300,9415/2708 is 1/203100

Least Common Multiple of 300,2708 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 300,2708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,2708) = 4

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

GCF(300,2708) x common factors =4 x 1 = 4

LCM(300,2708) = ( 300 × 2708 ) / 4

LCM(300,2708) = 812400 / 4

LCM(300,2708) = 203100

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FAQs on GCF of Fractions of 9266/300, 9415/2708

1. What is the HCF of 9266,9415?

The HCF of 9266,9415 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 9266/300, 9415/2708?

Answer: GCF of Numerators as per given numbers 9266/300, 9415/2708 is

GCF of Numerators i.e. for 9266,9415 is 1

LCM of denominators i.e. for 300,2708 is 203100.

Thus, GCF of Fractions is 1/203100.Finally, GCF of Fractions for 9266/300, 9415/2708 is 1/203100.