How to Find GCF of 9054/766, 9788/7344?

GCF of 9054/766, 9788/7344

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 9054/766, 9788/7344 i.e 2/2812752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9054/766, 9788/7344.

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 9054/766,9788/7344?

Given fractions are 9054/766,9788/7344

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 9054/766,9788/7344, numerators are 9054,9788

Denominators are 766,7344

The GCF of 9054,9788 is 2 .

LCM of 766,7344 is 2812752.

The greatest common factor of 9054/766,9788/7344 = [GCF of 9054,9788]/[LCM of 766,7344]= 2/2812752

Therefore, the GCF of 9054/766,9788/7344 is 2/2812752.

Greatest Common Factor of 9054,9788

To find the highest common factor of 9054,9788, we have to find the factors of both numbers and list the highest common factor.

The factors of 9054 are 1, 2, 3, 6, 9, 18, 503, 1006, 1509, 3018, 4527, 9054

The factors of 9788 are 1, 2, 4, 2447, 4894, 9788

The HCF of 9054,9788 is 2.

Lets's calculate GCF of 9054,9788

Greatest Common Factor (GCF) of 9054,9788 By Common Division

2	9054, 9788
	4527, 4894

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

Greatest Common Factor of 9054,9788 By Matching Biggest Common Factor Method

Now, list down the factors of 9054

1,2,3,6,9,18,503,1006,1509,3018,4527,9054

Now, list down the factors of 9788

1,2,4,2447,4894,9788

Greatest Common Factor

We found the factors 9054,9788 . The biggest common factor number is the GCF number.
So the greatest common factor 9054,9788 is 2.

Lets's calculate LCM of 766,7344

Lowest Common Multiple of 766,7344 using Common Division

2	766, 7344
	383, 3672

∴ So the LCM of the given numbers is 2 x 383 x 3672 = 2812752

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2812752

Therefore, the GCF of Fractions 9054/766,9788/7344 is 2/2812752

Least Common Multiple of 766,7344 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 766,7344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,7344) = 2

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

GCF(766,7344) x common factors =2 x 1 = 2

LCM(766,7344) = ( 766 × 7344 ) / 2

LCM(766,7344) = 5625504 / 2

LCM(766,7344) = 2812752

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9054/766, 9788/7344

1. What is the HCF of 9054,9788?

The HCF of 9054,9788 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 9054/766, 9788/7344?

Answer: GCF of Numerators as per given numbers 9054/766, 9788/7344 is

GCF of Numerators i.e. for 9054,9788 is 2

LCM of denominators i.e. for 766,7344 is 2812752.

Thus, GCF of Fractions is 2/2812752.Finally, GCF of Fractions for 9054/766, 9788/7344 is 2/2812752.