How to Find GCF of 6749/371, 3349/1808?

GCF of 6749/371, 3349/1808

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 6749/371, 3349/1808 i.e 17/670768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6749/371, 3349/1808.

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 6749/371,3349/1808?

Given fractions are 6749/371,3349/1808

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 6749/371,3349/1808, numerators are 6749,3349

Denominators are 371,1808

The GCF of 6749,3349 is 17 .

LCM of 371,1808 is 670768.

The greatest common factor of 6749/371,3349/1808 = [GCF of 6749,3349]/[LCM of 371,1808]= 17/670768

Therefore, the GCF of 6749/371,3349/1808 is 17/670768.

Greatest Common Factor of 6749,3349

To find the highest common factor of 6749,3349, we have to find the factors of both numbers and list the highest common factor.

The factors of 6749 are 1, 17, 397, 6749

The factors of 3349 are 1, 17, 197, 3349

The HCF of 6749,3349 is 17.

Lets's calculate GCF of 6749,3349

Greatest Common Factor (GCF) of 6749,3349 By Common Division

17	6749, 3349
	397, 197

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 6749,3349 By Matching Biggest Common Factor Method

Now, list down the factors of 6749

1,17,397,6749

Now, list down the factors of 3349

1,17,197,3349

Greatest Common Factor

We found the factors 6749,3349 . The biggest common factor number is the GCF number.
So the greatest common factor 6749,3349 is 17.

Lets's calculate LCM of 371,1808

Lowest Common Multiple of 371,1808 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 670768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/670768

Therefore, the GCF of Fractions 6749/371,3349/1808 is 17/670768

Least Common Multiple of 371,1808 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 371,1808 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,1808) = 1

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

GCF(371,1808) x common factors =1 x 1 = 1

LCM(371,1808) = ( 371 × 1808 ) / 1

LCM(371,1808) = 670768 / 1

LCM(371,1808) = 670768

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FAQs on GCF of Fractions of 6749/371, 3349/1808

1. What is the HCF of 6749,3349?

The HCF of 6749,3349 is 17

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 6749/371, 3349/1808?

Answer: GCF of Numerators as per given numbers 6749/371, 3349/1808 is

GCF of Numerators i.e. for 6749,3349 is 17

LCM of denominators i.e. for 371,1808 is 670768.

Thus, GCF of Fractions is 17/670768.Finally, GCF of Fractions for 6749/371, 3349/1808 is 17/670768.