How to Find GCF of 1466/911, 3688/6683?

GCF of 1466/911, 3688/6683

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 1466/911, 3688/6683 i.e 2/6088213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1466/911, 3688/6683.

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 1466/911,3688/6683?

Given fractions are 1466/911,3688/6683

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 1466/911,3688/6683, numerators are 1466,3688

Denominators are 911,6683

The GCF of 1466,3688 is 2 .

LCM of 911,6683 is 6088213.

The greatest common factor of 1466/911,3688/6683 = [GCF of 1466,3688]/[LCM of 911,6683]= 2/6088213

Therefore, the GCF of 1466/911,3688/6683 is 2/6088213.

Greatest Common Factor of 1466,3688

To find the highest common factor of 1466,3688, we have to find the factors of both numbers and list the highest common factor.

The factors of 1466 are 1, 2, 733, 1466

The factors of 3688 are 1, 2, 4, 8, 461, 922, 1844, 3688

The HCF of 1466,3688 is 2.

Lets's calculate GCF of 1466,3688

Greatest Common Factor (GCF) of 1466,3688 By Common Division

2	1466, 3688
	733, 1844

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

Greatest Common Factor of 1466,3688 By Matching Biggest Common Factor Method

Now, list down the factors of 1466

1,2,733,1466

Now, list down the factors of 3688

1,2,4,8,461,922,1844,3688

Greatest Common Factor

We found the factors 1466,3688 . The biggest common factor number is the GCF number.
So the greatest common factor 1466,3688 is 2.

Lets's calculate LCM of 911,6683

Lowest Common Multiple of 911,6683 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6088213

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6088213

Therefore, the GCF of Fractions 1466/911,3688/6683 is 2/6088213

Least Common Multiple of 911,6683 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 911,6683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(911,6683) = 1

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

GCF(911,6683) x common factors =1 x 1 = 1

LCM(911,6683) = ( 911 × 6683 ) / 1

LCM(911,6683) = 6088213 / 1

LCM(911,6683) = 6088213

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FAQs on GCF of Fractions of 1466/911, 3688/6683

1. What is the HCF of 1466,3688?

The HCF of 1466,3688 is 2

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 1466/911, 3688/6683?

Answer: GCF of Numerators as per given numbers 1466/911, 3688/6683 is

GCF of Numerators i.e. for 1466,3688 is 2

LCM of denominators i.e. for 911,6683 is 6088213.

Thus, GCF of Fractions is 2/6088213.Finally, GCF of Fractions for 1466/911, 3688/6683 is 2/6088213.