How to Find GCF of 5083/762, 3313/1252?

GCF of 5083/762, 3313/1252

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 5083/762, 3313/1252 i.e 1/477012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5083/762, 3313/1252.

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 5083/762,3313/1252?

Given fractions are 5083/762,3313/1252

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 5083/762,3313/1252, numerators are 5083,3313

Denominators are 762,1252

The GCF of 5083,3313 is 1 .

LCM of 762,1252 is 477012.

The greatest common factor of 5083/762,3313/1252 = [GCF of 5083,3313]/[LCM of 762,1252]= 1/477012

Therefore, the GCF of 5083/762,3313/1252 is 1/477012.

Greatest Common Factor of 5083,3313

To find the highest common factor of 5083,3313, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 3313 are 1, 3313

The HCF of 5083,3313 is 1.

Lets's calculate GCF of 5083,3313

Greatest Common Factor (GCF) of 5083,3313 By Common Division

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

Greatest Common Factor of 5083,3313 By Matching Biggest Common Factor Method

Now, list down the factors of 5083

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

Now, list down the factors of 3313

1,3313

Greatest Common Factor

We found the factors 5083,3313 . The biggest common factor number is the GCF number.
So the greatest common factor 5083,3313 is 1.

Lets's calculate LCM of 762,1252

Lowest Common Multiple of 762,1252 using Common Division

2	762, 1252
	381, 626

∴ So the LCM of the given numbers is 2 x 381 x 626 = 477012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477012

Therefore, the GCF of Fractions 5083/762,3313/1252 is 1/477012

Least Common Multiple of 762,1252 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 762,1252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(762,1252) = 2

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

GCF(762,1252) x common factors =2 x 1 = 2

LCM(762,1252) = ( 762 × 1252 ) / 2

LCM(762,1252) = 954024 / 2

LCM(762,1252) = 477012

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FAQs on GCF of Fractions of 5083/762, 3313/1252

1. What is the HCF of 5083,3313?

The HCF of 5083,3313 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 5083/762, 3313/1252?

Answer: GCF of Numerators as per given numbers 5083/762, 3313/1252 is

GCF of Numerators i.e. for 5083,3313 is 1

LCM of denominators i.e. for 762,1252 is 477012.

Thus, GCF of Fractions is 1/477012.Finally, GCF of Fractions for 5083/762, 3313/1252 is 1/477012.