How to Find GCF of 3685/668, 6721/3428?

GCF of 3685/668, 6721/3428

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 3685/668, 6721/3428 i.e 11/572476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3685/668, 6721/3428.

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 3685/668,6721/3428?

Given fractions are 3685/668,6721/3428

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 3685/668,6721/3428, numerators are 3685,6721

Denominators are 668,3428

The GCF of 3685,6721 is 11 .

LCM of 668,3428 is 572476.

The greatest common factor of 3685/668,6721/3428 = [GCF of 3685,6721]/[LCM of 668,3428]= 11/572476

Therefore, the GCF of 3685/668,6721/3428 is 11/572476.

Greatest Common Factor of 3685,6721

To find the highest common factor of 3685,6721, we have to find the factors of both numbers and list the highest common factor.

The factors of 3685 are 1, 5, 11, 55, 67, 335, 737, 3685

The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721

The HCF of 3685,6721 is 11.

Lets's calculate GCF of 3685,6721

Greatest Common Factor (GCF) of 3685,6721 By Common Division

11	3685, 6721
	335, 611

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 3685,6721 By Matching Biggest Common Factor Method

Now, list down the factors of 3685

1,5,11,55,67,335,737,3685

Now, list down the factors of 6721

1,11,13,47,143,517,611,6721

Greatest Common Factor

We found the factors 3685,6721 . The biggest common factor number is the GCF number.
So the greatest common factor 3685,6721 is 11.

Lets's calculate LCM of 668,3428

Lowest Common Multiple of 668,3428 using Common Division

2	668, 3428
2	334, 1714
	167, 857

∴ So the LCM of the given numbers is 2 x 2 x 167 x 857 = 572476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/572476

Therefore, the GCF of Fractions 3685/668,6721/3428 is 11/572476

Least Common Multiple of 668,3428 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 668,3428 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,3428) = 4

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

GCF(668,3428) x common factors =4 x 1 = 4

LCM(668,3428) = ( 668 × 3428 ) / 4

LCM(668,3428) = 2289904 / 4

LCM(668,3428) = 572476

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FAQs on GCF of Fractions of 3685/668, 6721/3428

1. What is the HCF of 3685,6721?

The HCF of 3685,6721 is 11

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 3685/668, 6721/3428?

Answer: GCF of Numerators as per given numbers 3685/668, 6721/3428 is

GCF of Numerators i.e. for 3685,6721 is 11

LCM of denominators i.e. for 668,3428 is 572476.

Thus, GCF of Fractions is 11/572476.Finally, GCF of Fractions for 3685/668, 6721/3428 is 11/572476.