How to Find GCF of 9482/388, 9049/9026?

GCF of 9482/388, 9049/9026

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 9482/388, 9049/9026 i.e 1/1751044 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9482/388, 9049/9026.

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 9482/388,9049/9026?

Given fractions are 9482/388,9049/9026

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 9482/388,9049/9026, numerators are 9482,9049

Denominators are 388,9026

The GCF of 9482,9049 is 1 .

LCM of 388,9026 is 1751044.

The greatest common factor of 9482/388,9049/9026 = [GCF of 9482,9049]/[LCM of 388,9026]= 1/1751044

Therefore, the GCF of 9482/388,9049/9026 is 1/1751044.

Greatest Common Factor of 9482,9049

To find the highest common factor of 9482,9049, we have to find the factors of both numbers and list the highest common factor.

The factors of 9482 are 1, 2, 11, 22, 431, 862, 4741, 9482

The factors of 9049 are 1, 9049

The HCF of 9482,9049 is 1.

Lets's calculate GCF of 9482,9049

Greatest Common Factor (GCF) of 9482,9049 By Common Division

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

Greatest Common Factor of 9482,9049 By Matching Biggest Common Factor Method

Now, list down the factors of 9482

1,2,11,22,431,862,4741,9482

Now, list down the factors of 9049

1,9049

Greatest Common Factor

We found the factors 9482,9049 . The biggest common factor number is the GCF number.
So the greatest common factor 9482,9049 is 1.

Lets's calculate LCM of 388,9026

Lowest Common Multiple of 388,9026 using Common Division

2	388, 9026
	194, 4513

∴ So the LCM of the given numbers is 2 x 194 x 4513 = 1751044

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1751044

Therefore, the GCF of Fractions 9482/388,9049/9026 is 1/1751044

Least Common Multiple of 388,9026 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 388,9026 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(388,9026) = 2

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

GCF(388,9026) x common factors =2 x 1 = 2

LCM(388,9026) = ( 388 × 9026 ) / 2

LCM(388,9026) = 3502088 / 2

LCM(388,9026) = 1751044

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FAQs on GCF of Fractions of 9482/388, 9049/9026

1. What is the HCF of 9482,9049?

The HCF of 9482,9049 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 9482/388, 9049/9026?

Answer: GCF of Numerators as per given numbers 9482/388, 9049/9026 is

GCF of Numerators i.e. for 9482,9049 is 1

LCM of denominators i.e. for 388,9026 is 1751044.

Thus, GCF of Fractions is 1/1751044.Finally, GCF of Fractions for 9482/388, 9049/9026 is 1/1751044.