How to Find GCF of 9130/264, 2531/7237?

GCF of 9130/264, 2531/7237

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 9130/264, 2531/7237 i.e 1/1910568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9130/264, 2531/7237.

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 9130/264,2531/7237?

Given fractions are 9130/264,2531/7237

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 9130/264,2531/7237, numerators are 9130,2531

Denominators are 264,7237

The GCF of 9130,2531 is 1 .

LCM of 264,7237 is 1910568.

The greatest common factor of 9130/264,2531/7237 = [GCF of 9130,2531]/[LCM of 264,7237]= 1/1910568

Therefore, the GCF of 9130/264,2531/7237 is 1/1910568.

Greatest Common Factor of 9130,2531

To find the highest common factor of 9130,2531, we have to find the factors of both numbers and list the highest common factor.

The factors of 9130 are 1, 2, 5, 10, 11, 22, 55, 83, 110, 166, 415, 830, 913, 1826, 4565, 9130

The factors of 2531 are 1, 2531

The HCF of 9130,2531 is 1.

Lets's calculate GCF of 9130,2531

Greatest Common Factor (GCF) of 9130,2531 By Common Division

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

Greatest Common Factor of 9130,2531 By Matching Biggest Common Factor Method

Now, list down the factors of 9130

1,2,5,10,11,22,55,83,110,166,415,830,913,1826,4565,9130

Now, list down the factors of 2531

1,2531

Greatest Common Factor

We found the factors 9130,2531 . The biggest common factor number is the GCF number.
So the greatest common factor 9130,2531 is 1.

Lets's calculate LCM of 264,7237

Lowest Common Multiple of 264,7237 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1910568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1910568

Therefore, the GCF of Fractions 9130/264,2531/7237 is 1/1910568

Least Common Multiple of 264,7237 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 264,7237 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(264,7237) = 1

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

GCF(264,7237) x common factors =1 x 1 = 1

LCM(264,7237) = ( 264 × 7237 ) / 1

LCM(264,7237) = 1910568 / 1

LCM(264,7237) = 1910568

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9130/264, 2531/7237

1. What is the HCF of 9130,2531?

The HCF of 9130,2531 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 9130/264, 2531/7237?

Answer: GCF of Numerators as per given numbers 9130/264, 2531/7237 is

GCF of Numerators i.e. for 9130,2531 is 1

LCM of denominators i.e. for 264,7237 is 1910568.

Thus, GCF of Fractions is 1/1910568.Finally, GCF of Fractions for 9130/264, 2531/7237 is 1/1910568.