How to Find GCF of 9092/736, 9252/754?

GCF of 9092/736, 9252/754

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 9092/736, 9252/754 i.e 4/277472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9092/736, 9252/754.

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 9092/736,9252/754?

Given fractions are 9092/736,9252/754

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 9092/736,9252/754, numerators are 9092,9252

Denominators are 736,754

The GCF of 9092,9252 is 4 .

LCM of 736,754 is 277472.

The greatest common factor of 9092/736,9252/754 = [GCF of 9092,9252]/[LCM of 736,754]= 4/277472

Therefore, the GCF of 9092/736,9252/754 is 4/277472.

Greatest Common Factor of 9092,9252

To find the highest common factor of 9092,9252, we have to find the factors of both numbers and list the highest common factor.

The factors of 9092 are 1, 2, 4, 2273, 4546, 9092

The factors of 9252 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 257, 514, 771, 1028, 1542, 2313, 3084, 4626, 9252

The HCF of 9092,9252 is 4.

Lets's calculate GCF of 9092,9252

Greatest Common Factor (GCF) of 9092,9252 By Common Division

2	9092, 9252
2	4546, 4626
	2273, 2313

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9092,9252 By Matching Biggest Common Factor Method

Now, list down the factors of 9092

1,2,4,2273,4546,9092

Now, list down the factors of 9252

1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252

Greatest Common Factor

We found the factors 9092,9252 . The biggest common factor number is the GCF number.
So the greatest common factor 9092,9252 is 4.

Lets's calculate LCM of 736,754

Lowest Common Multiple of 736,754 using Common Division

2	736, 754
	368, 377

∴ So the LCM of the given numbers is 2 x 368 x 377 = 277472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/277472

Therefore, the GCF of Fractions 9092/736,9252/754 is 4/277472

Least Common Multiple of 736,754 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 736,754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(736,754) = 2

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

GCF(736,754) x common factors =2 x 1 = 2

LCM(736,754) = ( 736 × 754 ) / 2

LCM(736,754) = 554944 / 2

LCM(736,754) = 277472

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9092/736, 9252/754

1. What is the HCF of 9092,9252?

The HCF of 9092,9252 is 4

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 9092/736, 9252/754?

Answer: GCF of Numerators as per given numbers 9092/736, 9252/754 is

GCF of Numerators i.e. for 9092,9252 is 4

LCM of denominators i.e. for 736,754 is 277472.

Thus, GCF of Fractions is 4/277472.Finally, GCF of Fractions for 9092/736, 9252/754 is 4/277472.