How to Find GCF of 6057/506, 2749/3314?

GCF of 6057/506, 2749/3314

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 6057/506, 2749/3314 i.e 1/838442 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6057/506, 2749/3314.

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 6057/506,2749/3314?

Given fractions are 6057/506,2749/3314

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 6057/506,2749/3314, numerators are 6057,2749

Denominators are 506,3314

The GCF of 6057,2749 is 1 .

LCM of 506,3314 is 838442.

The greatest common factor of 6057/506,2749/3314 = [GCF of 6057,2749]/[LCM of 506,3314]= 1/838442

Therefore, the GCF of 6057/506,2749/3314 is 1/838442.

Greatest Common Factor of 6057,2749

To find the highest common factor of 6057,2749, we have to find the factors of both numbers and list the highest common factor.

The factors of 6057 are 1, 3, 9, 673, 2019, 6057

The factors of 2749 are 1, 2749

The HCF of 6057,2749 is 1.

Lets's calculate GCF of 6057,2749

Greatest Common Factor (GCF) of 6057,2749 By Common Division

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

Greatest Common Factor of 6057,2749 By Matching Biggest Common Factor Method

Now, list down the factors of 6057

1,3,9,673,2019,6057

Now, list down the factors of 2749

1,2749

Greatest Common Factor

We found the factors 6057,2749 . The biggest common factor number is the GCF number.
So the greatest common factor 6057,2749 is 1.

Lets's calculate LCM of 506,3314

Lowest Common Multiple of 506,3314 using Common Division

2	506, 3314
	253, 1657

∴ So the LCM of the given numbers is 2 x 253 x 1657 = 838442

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/838442

Therefore, the GCF of Fractions 6057/506,2749/3314 is 1/838442

Least Common Multiple of 506,3314 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 506,3314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,3314) = 2

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

GCF(506,3314) x common factors =2 x 1 = 2

LCM(506,3314) = ( 506 × 3314 ) / 2

LCM(506,3314) = 1676884 / 2

LCM(506,3314) = 838442

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FAQs on GCF of Fractions of 6057/506, 2749/3314

1. What is the HCF of 6057,2749?

The HCF of 6057,2749 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 6057/506, 2749/3314?

Answer: GCF of Numerators as per given numbers 6057/506, 2749/3314 is

GCF of Numerators i.e. for 6057,2749 is 1

LCM of denominators i.e. for 506,3314 is 838442.

Thus, GCF of Fractions is 1/838442.Finally, GCF of Fractions for 6057/506, 2749/3314 is 1/838442.