How to Find GCF of 6676/319, 3388/3826?

GCF of 6676/319, 3388/3826

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 6676/319, 3388/3826 i.e 4/1220494 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6676/319, 3388/3826.

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 6676/319,3388/3826?

Given fractions are 6676/319,3388/3826

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 6676/319,3388/3826, numerators are 6676,3388

Denominators are 319,3826

The GCF of 6676,3388 is 4 .

LCM of 319,3826 is 1220494.

The greatest common factor of 6676/319,3388/3826 = [GCF of 6676,3388]/[LCM of 319,3826]= 4/1220494

Therefore, the GCF of 6676/319,3388/3826 is 4/1220494.

Greatest Common Factor of 6676,3388

To find the highest common factor of 6676,3388, we have to find the factors of both numbers and list the highest common factor.

The factors of 6676 are 1, 2, 4, 1669, 3338, 6676

The factors of 3388 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 121, 154, 242, 308, 484, 847, 1694, 3388

The HCF of 6676,3388 is 4.

Lets's calculate GCF of 6676,3388

Greatest Common Factor (GCF) of 6676,3388 By Common Division

2	6676, 3388
2	3338, 1694
	1669, 847

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6676,3388 By Matching Biggest Common Factor Method

Now, list down the factors of 6676

1,2,4,1669,3338,6676

Now, list down the factors of 3388

1,2,4,7,11,14,22,28,44,77,121,154,242,308,484,847,1694,3388

Greatest Common Factor

We found the factors 6676,3388 . The biggest common factor number is the GCF number.
So the greatest common factor 6676,3388 is 4.

Lets's calculate LCM of 319,3826

Lowest Common Multiple of 319,3826 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1220494

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1220494

Therefore, the GCF of Fractions 6676/319,3388/3826 is 4/1220494

Least Common Multiple of 319,3826 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 319,3826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,3826) = 1

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

GCF(319,3826) x common factors =1 x 1 = 1

LCM(319,3826) = ( 319 × 3826 ) / 1

LCM(319,3826) = 1220494 / 1

LCM(319,3826) = 1220494

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FAQs on GCF of Fractions of 6676/319, 3388/3826

1. What is the HCF of 6676,3388?

The HCF of 6676,3388 is 4

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 6676/319, 3388/3826?

Answer: GCF of Numerators as per given numbers 6676/319, 3388/3826 is

GCF of Numerators i.e. for 6676,3388 is 4

LCM of denominators i.e. for 319,3826 is 1220494.

Thus, GCF of Fractions is 4/1220494.Finally, GCF of Fractions for 6676/319, 3388/3826 is 4/1220494.