How to Find GCF of 3278/611, 1254/6585?

GCF of 3278/611, 1254/6585

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 3278/611, 1254/6585 i.e 22/4023435 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3278/611, 1254/6585.

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 3278/611,1254/6585?

Given fractions are 3278/611,1254/6585

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 3278/611,1254/6585, numerators are 3278,1254

Denominators are 611,6585

The GCF of 3278,1254 is 22 .

LCM of 611,6585 is 4023435.

The greatest common factor of 3278/611,1254/6585 = [GCF of 3278,1254]/[LCM of 611,6585]= 22/4023435

Therefore, the GCF of 3278/611,1254/6585 is 22/4023435.

Greatest Common Factor of 3278,1254

To find the highest common factor of 3278,1254, we have to find the factors of both numbers and list the highest common factor.

The factors of 3278 are 1, 2, 11, 22, 149, 298, 1639, 3278

The factors of 1254 are 1, 2, 3, 6, 11, 19, 22, 33, 38, 57, 66, 114, 209, 418, 627, 1254

The HCF of 3278,1254 is 22.

Lets's calculate GCF of 3278,1254

Greatest Common Factor (GCF) of 3278,1254 By Common Division

2	3278, 1254
11	1639, 627
	149, 57

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 3278,1254 By Matching Biggest Common Factor Method

Now, list down the factors of 3278

1,2,11,22,149,298,1639,3278

Now, list down the factors of 1254

1,2,3,6,11,19,22,33,38,57,66,114,209,418,627,1254

Greatest Common Factor

We found the factors 3278,1254 . The biggest common factor number is the GCF number.
So the greatest common factor 3278,1254 is 22.

Lets's calculate LCM of 611,6585

Lowest Common Multiple of 611,6585 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4023435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4023435

Therefore, the GCF of Fractions 3278/611,1254/6585 is 22/4023435

Least Common Multiple of 611,6585 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 611,6585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(611,6585) = 1

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

GCF(611,6585) x common factors =1 x 1 = 1

LCM(611,6585) = ( 611 × 6585 ) / 1

LCM(611,6585) = 4023435 / 1

LCM(611,6585) = 4023435

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 3278/611, 1254/6585

1. What is the HCF of 3278,1254?

The HCF of 3278,1254 is 22

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 3278/611, 1254/6585?

Answer: GCF of Numerators as per given numbers 3278/611, 1254/6585 is

GCF of Numerators i.e. for 3278,1254 is 22

LCM of denominators i.e. for 611,6585 is 4023435.

Thus, GCF of Fractions is 22/4023435.Finally, GCF of Fractions for 3278/611, 1254/6585 is 22/4023435.