How to Find GCF of 799/52, 517/6042?

GCF of 799/52, 517/6042

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 799/52, 517/6042 i.e 47/157092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/52, 517/6042.

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 799/52,517/6042?

Given fractions are 799/52,517/6042

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 799/52,517/6042, numerators are 799,517

Denominators are 52,6042

The GCF of 799,517 is 47 .

LCM of 52,6042 is 157092.

The greatest common factor of 799/52,517/6042 = [GCF of 799,517]/[LCM of 52,6042]= 47/157092

Therefore, the GCF of 799/52,517/6042 is 47/157092.

Greatest Common Factor of 799,517

To find the highest common factor of 799,517, we have to find the factors of both numbers and list the highest common factor.

The factors of 799 are 1, 17, 47, 799

The factors of 517 are 1, 11, 47, 517

The HCF of 799,517 is 47.

Lets's calculate GCF of 799,517

Greatest Common Factor (GCF) of 799,517 By Common Division

47	799, 517
	17, 11

∴ So the GCF of the given numbers is 47 = 47

Greatest Common Factor of 799,517 By Matching Biggest Common Factor Method

Now, list down the factors of 799

1,17,47,799

Now, list down the factors of 517

1,11,47,517

Greatest Common Factor

We found the factors 799,517 . The biggest common factor number is the GCF number.
So the greatest common factor 799,517 is 47.

Lets's calculate LCM of 52,6042

Lowest Common Multiple of 52,6042 using Common Division

2	52, 6042
	26, 3021

∴ So the LCM of the given numbers is 2 x 26 x 3021 = 157092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/157092

Therefore, the GCF of Fractions 799/52,517/6042 is 47/157092

Least Common Multiple of 52,6042 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 52,6042 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,6042) = 2

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

GCF(52,6042) x common factors =2 x 1 = 2

LCM(52,6042) = ( 52 × 6042 ) / 2

LCM(52,6042) = 314184 / 2

LCM(52,6042) = 157092

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FAQs on GCF of Fractions of 799/52, 517/6042

1. What is the HCF of 799,517?

The HCF of 799,517 is 47

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 799/52, 517/6042?

Answer: GCF of Numerators as per given numbers 799/52, 517/6042 is

GCF of Numerators i.e. for 799,517 is 47

LCM of denominators i.e. for 52,6042 is 157092.

Thus, GCF of Fractions is 47/157092.Finally, GCF of Fractions for 799/52, 517/6042 is 47/157092.