How to Find GCF of 4519/980, 5721/2192?

GCF of 4519/980, 5721/2192

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 4519/980, 5721/2192 i.e 1/537040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4519/980, 5721/2192.

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 4519/980,5721/2192?

Given fractions are 4519/980,5721/2192

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 4519/980,5721/2192, numerators are 4519,5721

Denominators are 980,2192

The GCF of 4519,5721 is 1 .

LCM of 980,2192 is 537040.

The greatest common factor of 4519/980,5721/2192 = [GCF of 4519,5721]/[LCM of 980,2192]= 1/537040

Therefore, the GCF of 4519/980,5721/2192 is 1/537040.

Greatest Common Factor of 4519,5721

To find the highest common factor of 4519,5721, we have to find the factors of both numbers and list the highest common factor.

The factors of 4519 are 1, 4519

The factors of 5721 are 1, 3, 1907, 5721

The HCF of 4519,5721 is 1.

Lets's calculate GCF of 4519,5721

Greatest Common Factor (GCF) of 4519,5721 By Common Division

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

Greatest Common Factor of 4519,5721 By Matching Biggest Common Factor Method

Now, list down the factors of 4519

1,4519

Now, list down the factors of 5721

1,3,1907,5721

Greatest Common Factor

We found the factors 4519,5721 . The biggest common factor number is the GCF number.
So the greatest common factor 4519,5721 is 1.

Lets's calculate LCM of 980,2192

Lowest Common Multiple of 980,2192 using Common Division

2	980, 2192
2	490, 1096
	245, 548

∴ So the LCM of the given numbers is 2 x 2 x 245 x 548 = 537040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/537040

Therefore, the GCF of Fractions 4519/980,5721/2192 is 1/537040

Least Common Multiple of 980,2192 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 980,2192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,2192) = 4

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

GCF(980,2192) x common factors =4 x 1 = 4

LCM(980,2192) = ( 980 × 2192 ) / 4

LCM(980,2192) = 2148160 / 4

LCM(980,2192) = 537040

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FAQs on GCF of Fractions of 4519/980, 5721/2192

1. What is the HCF of 4519,5721?

The HCF of 4519,5721 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 4519/980, 5721/2192?

Answer: GCF of Numerators as per given numbers 4519/980, 5721/2192 is

GCF of Numerators i.e. for 4519,5721 is 1

LCM of denominators i.e. for 980,2192 is 537040.

Thus, GCF of Fractions is 1/537040.Finally, GCF of Fractions for 4519/980, 5721/2192 is 1/537040.