How to Find GCF of 2893/299, 4018/6539?

GCF of 2893/299, 4018/6539

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 2893/299, 4018/6539 i.e 1/150397 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2893/299, 4018/6539.

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 2893/299,4018/6539?

Given fractions are 2893/299,4018/6539

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 2893/299,4018/6539, numerators are 2893,4018

Denominators are 299,6539

The GCF of 2893,4018 is 1 .

LCM of 299,6539 is 150397.

The greatest common factor of 2893/299,4018/6539 = [GCF of 2893,4018]/[LCM of 299,6539]= 1/150397

Therefore, the GCF of 2893/299,4018/6539 is 1/150397.

Greatest Common Factor of 2893,4018

To find the highest common factor of 2893,4018, we have to find the factors of both numbers and list the highest common factor.

The factors of 2893 are 1, 11, 263, 2893

The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018

The HCF of 2893,4018 is 1.

Lets's calculate GCF of 2893,4018

Greatest Common Factor (GCF) of 2893,4018 By Common Division

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

Greatest Common Factor of 2893,4018 By Matching Biggest Common Factor Method

Now, list down the factors of 2893

1,11,263,2893

Now, list down the factors of 4018

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors 2893,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 2893,4018 is 1.

Lets's calculate LCM of 299,6539

Lowest Common Multiple of 299,6539 using Common Division

13	299, 6539
	23, 503

∴ So the LCM of the given numbers is 13 x 23 x 503 = 150397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150397

Therefore, the GCF of Fractions 2893/299,4018/6539 is 1/150397

Least Common Multiple of 299,6539 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 299,6539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,6539) = 13

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

GCF(299,6539) x common factors =13 x 1 = 13

LCM(299,6539) = ( 299 × 6539 ) / 13

LCM(299,6539) = 1955161 / 13

LCM(299,6539) = 150397

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FAQs on GCF of Fractions of 2893/299, 4018/6539

1. What is the HCF of 2893,4018?

The HCF of 2893,4018 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 2893/299, 4018/6539?

Answer: GCF of Numerators as per given numbers 2893/299, 4018/6539 is

GCF of Numerators i.e. for 2893,4018 is 1

LCM of denominators i.e. for 299,6539 is 150397.

Thus, GCF of Fractions is 1/150397.Finally, GCF of Fractions for 2893/299, 4018/6539 is 1/150397.