How to Find GCF of 9260/928, 8078/4411?

GCF of 9260/928, 8078/4411

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 9260/928, 8078/4411 i.e 2/4093408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9260/928, 8078/4411.

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 9260/928,8078/4411?

Given fractions are 9260/928,8078/4411

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 9260/928,8078/4411, numerators are 9260,8078

Denominators are 928,4411

The GCF of 9260,8078 is 2 .

LCM of 928,4411 is 4093408.

The greatest common factor of 9260/928,8078/4411 = [GCF of 9260,8078]/[LCM of 928,4411]= 2/4093408

Therefore, the GCF of 9260/928,8078/4411 is 2/4093408.

Greatest Common Factor of 9260,8078

To find the highest common factor of 9260,8078, we have to find the factors of both numbers and list the highest common factor.

The factors of 9260 are 1, 2, 4, 5, 10, 20, 463, 926, 1852, 2315, 4630, 9260

The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078

The HCF of 9260,8078 is 2.

Lets's calculate GCF of 9260,8078

Greatest Common Factor (GCF) of 9260,8078 By Common Division

2	9260, 8078
	4630, 4039

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9260,8078 By Matching Biggest Common Factor Method

Now, list down the factors of 9260

1,2,4,5,10,20,463,926,1852,2315,4630,9260

Now, list down the factors of 8078

1,2,7,14,577,1154,4039,8078

Greatest Common Factor

We found the factors 9260,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 9260,8078 is 2.

Lets's calculate LCM of 928,4411

Lowest Common Multiple of 928,4411 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4093408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4093408

Therefore, the GCF of Fractions 9260/928,8078/4411 is 2/4093408

Least Common Multiple of 928,4411 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 928,4411 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,4411) = 1

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

GCF(928,4411) x common factors =1 x 1 = 1

LCM(928,4411) = ( 928 × 4411 ) / 1

LCM(928,4411) = 4093408 / 1

LCM(928,4411) = 4093408

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9260/928, 8078/4411

1. What is the HCF of 9260,8078?

The HCF of 9260,8078 is 2

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 9260/928, 8078/4411?

Answer: GCF of Numerators as per given numbers 9260/928, 8078/4411 is

GCF of Numerators i.e. for 9260,8078 is 2

LCM of denominators i.e. for 928,4411 is 4093408.

Thus, GCF of Fractions is 2/4093408.Finally, GCF of Fractions for 9260/928, 8078/4411 is 2/4093408.