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GCF of 2743/668, 3849/1226

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 2743/668, 3849/1226 i.e 1/409484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2743/668, 3849/1226.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 2743/668,3849/1226?

Given fractions are 2743/668,3849/1226

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 2743/668,3849/1226, numerators are 2743,3849

Denominators are 668,1226

The GCF of 2743,3849 is 1 .

LCM of 668,1226 is 409484.

The greatest common factor of 2743/668,3849/1226 = [GCF of 2743,3849]/[LCM of 668,1226]= 1/409484

Therefore, the GCF of 2743/668,3849/1226 is 1/409484.

Greatest Common Factor of 2743,3849

To find the highest common factor of 2743,3849, we have to find the factors of both numbers and list the highest common factor.

The factors of 2743 are 1, 13, 211, 2743

The factors of 3849 are 1, 3, 1283, 3849

The HCF of 2743,3849 is 1.

Lets's calculate GCF of 2743,3849

Greatest Common Factor (GCF) of 2743,3849 By Common Division

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

Greatest Common Factor of 2743,3849 By Matching Biggest Common Factor Method

Greatest Common Factor of 2743,3849 By Matching Biggest Common Factor Method

Now, list down the factors of 2743

:

1,13,211,2743

Now, list down the factors of 3849

:

1,3,1283,3849

Greatest Common Factor

We found the factors 2743,3849 . The biggest common factor number is the GCF number.
So the greatest common factor 2743,3849 is 1.

Lets's calculate LCM of 668,1226

Lowest Common Multiple of 668,1226 using Common Division

2 668, 1226
334, 613

∴ So the LCM of the given numbers is 2 x 334 x 613 = 409484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/409484

Therefore, the GCF of Fractions 2743/668,3849/1226 is 1/409484

Least Common Multiple of 668,1226 with GCF Formula

Least Common Multiple of 668,1226 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 668,1226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,1226) = 2

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

GCF(668,1226) x common factors =2 x 1 = 2

LCM(668,1226) = ( 668 × 1226 ) / 2

LCM(668,1226) = 818968 / 2

LCM(668,1226) = 409484


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2743/668, 3849/1226

1. What is the HCF of 2743,3849?

The HCF of 2743,3849 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 2743/668, 3849/1226?

Answer: GCF of Numerators as per given numbers 2743/668, 3849/1226 is

GCF of Numerators i.e. for 2743,3849 is 1

LCM of denominators i.e. for 668,1226 is 409484.

Thus, GCF of Fractions is 1/409484.Finally, GCF of Fractions for 2743/668, 3849/1226 is 1/409484.