How to Find GCF of 5773/570, 5042/4844?

GCF of 5773/570, 5042/4844

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 5773/570, 5042/4844 i.e 1/1380540 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5773/570, 5042/4844.

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 5773/570,5042/4844?

Given fractions are 5773/570,5042/4844

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 5773/570,5042/4844, numerators are 5773,5042

Denominators are 570,4844

The GCF of 5773,5042 is 1 .

LCM of 570,4844 is 1380540.

The greatest common factor of 5773/570,5042/4844 = [GCF of 5773,5042]/[LCM of 570,4844]= 1/1380540

Therefore, the GCF of 5773/570,5042/4844 is 1/1380540.

Greatest Common Factor of 5773,5042

To find the highest common factor of 5773,5042, we have to find the factors of both numbers and list the highest common factor.

The factors of 5773 are 1, 23, 251, 5773

The factors of 5042 are 1, 2, 2521, 5042

The HCF of 5773,5042 is 1.

Lets's calculate GCF of 5773,5042

Greatest Common Factor (GCF) of 5773,5042 By Common Division

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

Greatest Common Factor of 5773,5042 By Matching Biggest Common Factor Method

Now, list down the factors of 5773

1,23,251,5773

Now, list down the factors of 5042

1,2,2521,5042

Greatest Common Factor

We found the factors 5773,5042 . The biggest common factor number is the GCF number.
So the greatest common factor 5773,5042 is 1.

Lets's calculate LCM of 570,4844

Lowest Common Multiple of 570,4844 using Common Division

2	570, 4844
	285, 2422

∴ So the LCM of the given numbers is 2 x 285 x 2422 = 1380540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1380540

Therefore, the GCF of Fractions 5773/570,5042/4844 is 1/1380540

Least Common Multiple of 570,4844 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 570,4844 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,4844) = 2

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

GCF(570,4844) x common factors =2 x 1 = 2

LCM(570,4844) = ( 570 × 4844 ) / 2

LCM(570,4844) = 2761080 / 2

LCM(570,4844) = 1380540

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FAQs on GCF of Fractions of 5773/570, 5042/4844

1. What is the HCF of 5773,5042?

The HCF of 5773,5042 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 5773/570, 5042/4844?

Answer: GCF of Numerators as per given numbers 5773/570, 5042/4844 is

GCF of Numerators i.e. for 5773,5042 is 1

LCM of denominators i.e. for 570,4844 is 1380540.

Thus, GCF of Fractions is 1/1380540.Finally, GCF of Fractions for 5773/570, 5042/4844 is 1/1380540.