How to Find GCF of 9074/978, 7618/9418?

GCF of 9074/978, 7618/9418

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 9074/978, 7618/9418 i.e 26/4605402 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9074/978, 7618/9418.

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 9074/978,7618/9418?

Given fractions are 9074/978,7618/9418

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 9074/978,7618/9418, numerators are 9074,7618

Denominators are 978,9418

The GCF of 9074,7618 is 26 .

LCM of 978,9418 is 4605402.

The greatest common factor of 9074/978,7618/9418 = [GCF of 9074,7618]/[LCM of 978,9418]= 26/4605402

Therefore, the GCF of 9074/978,7618/9418 is 26/4605402.

Greatest Common Factor of 9074,7618

To find the highest common factor of 9074,7618, we have to find the factors of both numbers and list the highest common factor.

The factors of 9074 are 1, 2, 13, 26, 349, 698, 4537, 9074

The factors of 7618 are 1, 2, 13, 26, 293, 586, 3809, 7618

The HCF of 9074,7618 is 26.

Lets's calculate GCF of 9074,7618

Greatest Common Factor (GCF) of 9074,7618 By Common Division

2	9074, 7618
13	4537, 3809
	349, 293

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 9074,7618 By Matching Biggest Common Factor Method

Now, list down the factors of 9074

1,2,13,26,349,698,4537,9074

Now, list down the factors of 7618

1,2,13,26,293,586,3809,7618

Greatest Common Factor

We found the factors 9074,7618 . The biggest common factor number is the GCF number.
So the greatest common factor 9074,7618 is 26.

Lets's calculate LCM of 978,9418

Lowest Common Multiple of 978,9418 using Common Division

2	978, 9418
	489, 4709

∴ So the LCM of the given numbers is 2 x 489 x 4709 = 4605402

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/4605402

Therefore, the GCF of Fractions 9074/978,7618/9418 is 26/4605402

Least Common Multiple of 978,9418 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 978,9418 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,9418) = 2

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

GCF(978,9418) x common factors =2 x 1 = 2

LCM(978,9418) = ( 978 × 9418 ) / 2

LCM(978,9418) = 9210804 / 2

LCM(978,9418) = 4605402

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9074/978, 7618/9418

1. What is the HCF of 9074,7618?

The HCF of 9074,7618 is 26

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 9074/978, 7618/9418?

Answer: GCF of Numerators as per given numbers 9074/978, 7618/9418 is

GCF of Numerators i.e. for 9074,7618 is 26

LCM of denominators i.e. for 978,9418 is 4605402.

Thus, GCF of Fractions is 26/4605402.Finally, GCF of Fractions for 9074/978, 7618/9418 is 26/4605402.