How to Find GCF of 9530/296, 8518/1265?

GCF of 9530/296, 8518/1265

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 9530/296, 8518/1265 i.e 2/374440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9530/296, 8518/1265.

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 9530/296,8518/1265?

Given fractions are 9530/296,8518/1265

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 9530/296,8518/1265, numerators are 9530,8518

Denominators are 296,1265

The GCF of 9530,8518 is 2 .

LCM of 296,1265 is 374440.

The greatest common factor of 9530/296,8518/1265 = [GCF of 9530,8518]/[LCM of 296,1265]= 2/374440

Therefore, the GCF of 9530/296,8518/1265 is 2/374440.

Greatest Common Factor of 9530,8518

To find the highest common factor of 9530,8518, we have to find the factors of both numbers and list the highest common factor.

The factors of 9530 are 1, 2, 5, 10, 953, 1906, 4765, 9530

The factors of 8518 are 1, 2, 4259, 8518

The HCF of 9530,8518 is 2.

Lets's calculate GCF of 9530,8518

Greatest Common Factor (GCF) of 9530,8518 By Common Division

2	9530, 8518
	4765, 4259

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

Greatest Common Factor of 9530,8518 By Matching Biggest Common Factor Method

Now, list down the factors of 9530

1,2,5,10,953,1906,4765,9530

Now, list down the factors of 8518

1,2,4259,8518

Greatest Common Factor

We found the factors 9530,8518 . The biggest common factor number is the GCF number.
So the greatest common factor 9530,8518 is 2.

Lets's calculate LCM of 296,1265

Lowest Common Multiple of 296,1265 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 374440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/374440

Therefore, the GCF of Fractions 9530/296,8518/1265 is 2/374440

Least Common Multiple of 296,1265 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 296,1265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,1265) = 1

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

GCF(296,1265) x common factors =1 x 1 = 1

LCM(296,1265) = ( 296 × 1265 ) / 1

LCM(296,1265) = 374440 / 1

LCM(296,1265) = 374440

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FAQs on GCF of Fractions of 9530/296, 8518/1265

1. What is the HCF of 9530,8518?

The HCF of 9530,8518 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 9530/296, 8518/1265?

Answer: GCF of Numerators as per given numbers 9530/296, 8518/1265 is

GCF of Numerators i.e. for 9530,8518 is 2

LCM of denominators i.e. for 296,1265 is 374440.

Thus, GCF of Fractions is 2/374440.Finally, GCF of Fractions for 9530/296, 8518/1265 is 2/374440.