How to Find GCF of 9524/373, 7580/4741?

GCF of 9524/373, 7580/4741

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 9524/373, 7580/4741 i.e 4/1768393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9524/373, 7580/4741.

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 9524/373,7580/4741?

Given fractions are 9524/373,7580/4741

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 9524/373,7580/4741, numerators are 9524,7580

Denominators are 373,4741

The GCF of 9524,7580 is 4 .

LCM of 373,4741 is 1768393.

The greatest common factor of 9524/373,7580/4741 = [GCF of 9524,7580]/[LCM of 373,4741]= 4/1768393

Therefore, the GCF of 9524/373,7580/4741 is 4/1768393.

Greatest Common Factor of 9524,7580

To find the highest common factor of 9524,7580, we have to find the factors of both numbers and list the highest common factor.

The factors of 9524 are 1, 2, 4, 2381, 4762, 9524

The factors of 7580 are 1, 2, 4, 5, 10, 20, 379, 758, 1516, 1895, 3790, 7580

The HCF of 9524,7580 is 4.

Lets's calculate GCF of 9524,7580

Greatest Common Factor (GCF) of 9524,7580 By Common Division

2	9524, 7580
2	4762, 3790
	2381, 1895

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

Greatest Common Factor of 9524,7580 By Matching Biggest Common Factor Method

Now, list down the factors of 9524

1,2,4,2381,4762,9524

Now, list down the factors of 7580

1,2,4,5,10,20,379,758,1516,1895,3790,7580

Greatest Common Factor

We found the factors 9524,7580 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,7580 is 4.

Lets's calculate LCM of 373,4741

Lowest Common Multiple of 373,4741 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1768393

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1768393

Therefore, the GCF of Fractions 9524/373,7580/4741 is 4/1768393

Least Common Multiple of 373,4741 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 373,4741 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,4741) = 1

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

GCF(373,4741) x common factors =1 x 1 = 1

LCM(373,4741) = ( 373 × 4741 ) / 1

LCM(373,4741) = 1768393 / 1

LCM(373,4741) = 1768393

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FAQs on GCF of Fractions of 9524/373, 7580/4741

1. What is the HCF of 9524,7580?

The HCF of 9524,7580 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 9524/373, 7580/4741?

Answer: GCF of Numerators as per given numbers 9524/373, 7580/4741 is

GCF of Numerators i.e. for 9524,7580 is 4

LCM of denominators i.e. for 373,4741 is 1768393.

Thus, GCF of Fractions is 4/1768393.Finally, GCF of Fractions for 9524/373, 7580/4741 is 4/1768393.