How to Find GCF of 9230/704, 5083/2545?

GCF of 9230/704, 5083/2545

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 9230/704, 5083/2545 i.e 13/1791680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9230/704, 5083/2545.

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 9230/704,5083/2545?

Given fractions are 9230/704,5083/2545

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 9230/704,5083/2545, numerators are 9230,5083

Denominators are 704,2545

The GCF of 9230,5083 is 13 .

LCM of 704,2545 is 1791680.

The greatest common factor of 9230/704,5083/2545 = [GCF of 9230,5083]/[LCM of 704,2545]= 13/1791680

Therefore, the GCF of 9230/704,5083/2545 is 13/1791680.

Greatest Common Factor of 9230,5083

To find the highest common factor of 9230,5083, we have to find the factors of both numbers and list the highest common factor.

The factors of 9230 are 1, 2, 5, 10, 13, 26, 65, 71, 130, 142, 355, 710, 923, 1846, 4615, 9230

The factors of 5083 are 1, 13, 17, 23, 221, 299, 391, 5083

The HCF of 9230,5083 is 13.

Lets's calculate GCF of 9230,5083

Greatest Common Factor (GCF) of 9230,5083 By Common Division

13	9230, 5083
	710, 391

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9230,5083 By Matching Biggest Common Factor Method

Now, list down the factors of 9230

1,2,5,10,13,26,65,71,130,142,355,710,923,1846,4615,9230

Now, list down the factors of 5083

1,13,17,23,221,299,391,5083

Greatest Common Factor

We found the factors 9230,5083 . The biggest common factor number is the GCF number.
So the greatest common factor 9230,5083 is 13.

Lets's calculate LCM of 704,2545

Lowest Common Multiple of 704,2545 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1791680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1791680

Therefore, the GCF of Fractions 9230/704,5083/2545 is 13/1791680

Least Common Multiple of 704,2545 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 704,2545 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,2545) = 1

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

GCF(704,2545) x common factors =1 x 1 = 1

LCM(704,2545) = ( 704 × 2545 ) / 1

LCM(704,2545) = 1791680 / 1

LCM(704,2545) = 1791680

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FAQs on GCF of Fractions of 9230/704, 5083/2545

1. What is the HCF of 9230,5083?

The HCF of 9230,5083 is 13

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 9230/704, 5083/2545?

Answer: GCF of Numerators as per given numbers 9230/704, 5083/2545 is

GCF of Numerators i.e. for 9230,5083 is 13

LCM of denominators i.e. for 704,2545 is 1791680.

Thus, GCF of Fractions is 13/1791680.Finally, GCF of Fractions for 9230/704, 5083/2545 is 13/1791680.