How to Find GCF of 4580/475, 2540/8843?

GCF of 4580/475, 2540/8843

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 4580/475, 2540/8843 i.e 20/4200425 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4580/475, 2540/8843.

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 4580/475,2540/8843?

Given fractions are 4580/475,2540/8843

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 4580/475,2540/8843, numerators are 4580,2540

Denominators are 475,8843

The GCF of 4580,2540 is 20 .

LCM of 475,8843 is 4200425.

The greatest common factor of 4580/475,2540/8843 = [GCF of 4580,2540]/[LCM of 475,8843]= 20/4200425

Therefore, the GCF of 4580/475,2540/8843 is 20/4200425.

Greatest Common Factor of 4580,2540

To find the highest common factor of 4580,2540, we have to find the factors of both numbers and list the highest common factor.

The factors of 4580 are 1, 2, 4, 5, 10, 20, 229, 458, 916, 1145, 2290, 4580

The factors of 2540 are 1, 2, 4, 5, 10, 20, 127, 254, 508, 635, 1270, 2540

The HCF of 4580,2540 is 20.

Lets's calculate GCF of 4580,2540

Greatest Common Factor (GCF) of 4580,2540 By Common Division

2	4580, 2540
2	2290, 1270
5	1145, 635
	229, 127

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 4580,2540 By Matching Biggest Common Factor Method

Now, list down the factors of 4580

1,2,4,5,10,20,229,458,916,1145,2290,4580

Now, list down the factors of 2540

1,2,4,5,10,20,127,254,508,635,1270,2540

Greatest Common Factor

We found the factors 4580,2540 . The biggest common factor number is the GCF number.
So the greatest common factor 4580,2540 is 20.

Lets's calculate LCM of 475,8843

Lowest Common Multiple of 475,8843 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4200425

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/4200425

Therefore, the GCF of Fractions 4580/475,2540/8843 is 20/4200425

Least Common Multiple of 475,8843 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 475,8843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(475,8843) = 1

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

GCF(475,8843) x common factors =1 x 1 = 1

LCM(475,8843) = ( 475 × 8843 ) / 1

LCM(475,8843) = 4200425 / 1

LCM(475,8843) = 4200425

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4580/475, 2540/8843

1. What is the HCF of 4580,2540?

The HCF of 4580,2540 is 20

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 4580/475, 2540/8843?

Answer: GCF of Numerators as per given numbers 4580/475, 2540/8843 is

GCF of Numerators i.e. for 4580,2540 is 20

LCM of denominators i.e. for 475,8843 is 4200425.

Thus, GCF of Fractions is 20/4200425.Finally, GCF of Fractions for 4580/475, 2540/8843 is 20/4200425.