How to Find GCF of 3064/449, 1840/9611?

GCF of 3064/449, 1840/9611

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 3064/449, 1840/9611 i.e 8/4315339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3064/449, 1840/9611.

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 3064/449,1840/9611?

Given fractions are 3064/449,1840/9611

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 3064/449,1840/9611, numerators are 3064,1840

Denominators are 449,9611

The GCF of 3064,1840 is 8 .

LCM of 449,9611 is 4315339.

The greatest common factor of 3064/449,1840/9611 = [GCF of 3064,1840]/[LCM of 449,9611]= 8/4315339

Therefore, the GCF of 3064/449,1840/9611 is 8/4315339.

Greatest Common Factor of 3064,1840

To find the highest common factor of 3064,1840, we have to find the factors of both numbers and list the highest common factor.

The factors of 3064 are 1, 2, 4, 8, 383, 766, 1532, 3064

The factors of 1840 are 1, 2, 4, 5, 8, 10, 16, 20, 23, 40, 46, 80, 92, 115, 184, 230, 368, 460, 920, 1840

The HCF of 3064,1840 is 8.

Lets's calculate GCF of 3064,1840

Greatest Common Factor (GCF) of 3064,1840 By Common Division

2	3064, 1840
2	1532, 920
2	766, 460
	383, 230

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 3064,1840 By Matching Biggest Common Factor Method

Now, list down the factors of 3064

1,2,4,8,383,766,1532,3064

Now, list down the factors of 1840

1,2,4,5,8,10,16,20,23,40,46,80,92,115,184,230,368,460,920,1840

Greatest Common Factor

We found the factors 3064,1840 . The biggest common factor number is the GCF number.
So the greatest common factor 3064,1840 is 8.

Lets's calculate LCM of 449,9611

Lowest Common Multiple of 449,9611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4315339

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4315339

Therefore, the GCF of Fractions 3064/449,1840/9611 is 8/4315339

Least Common Multiple of 449,9611 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 449,9611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,9611) = 1

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

GCF(449,9611) x common factors =1 x 1 = 1

LCM(449,9611) = ( 449 × 9611 ) / 1

LCM(449,9611) = 4315339 / 1

LCM(449,9611) = 4315339

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FAQs on GCF of Fractions of 3064/449, 1840/9611

1. What is the HCF of 3064,1840?

The HCF of 3064,1840 is 8

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 3064/449, 1840/9611?

Answer: GCF of Numerators as per given numbers 3064/449, 1840/9611 is

GCF of Numerators i.e. for 3064,1840 is 8

LCM of denominators i.e. for 449,9611 is 4315339.

Thus, GCF of Fractions is 8/4315339.Finally, GCF of Fractions for 3064/449, 1840/9611 is 8/4315339.