GCF of 4409/746, 2084/6642
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4409/746, 2084/6642 i.e 1/2477466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4409/746, 2084/6642.
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 4409/746,2084/6642?
Given fractions are 4409/746,2084/6642
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 4409/746,2084/6642, numerators are 4409,2084
Denominators are 746,6642
The GCF of 4409,2084 is 1 .
LCM of 746,6642 is 2477466.
The greatest common factor of 4409/746,2084/6642 = [GCF of 4409,2084]/[LCM of 746,6642]= 1/2477466
Therefore, the GCF of 4409/746,2084/6642 is 1/2477466.
To find the highest common factor of 4409,2084, we have to find the factors of both numbers and list the highest common factor.
The factors of 4409 are 1, 4409
The factors of 2084 are 1, 2, 4, 521, 1042, 2084
The HCF of 4409,2084 is 1.
Lets's calculate GCF of 4409,2084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4409,2084 By Matching Biggest Common Factor Method
Now, list down the factors of 4409
:1,4409
Now, list down the factors of 2084
:1,2,4,521,1042,2084
Greatest Common Factor
We found the factors 4409,2084 . The biggest common factor number is the GCF number.
So the greatest common factor 4409,2084 is 1.
Lets's calculate LCM of 746,6642
| 2 | 746, 6642 |
| 373, 3321 |
∴ So the LCM of the given numbers is 2 x 373 x 3321 = 2477466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2477466
Therefore, the GCF of Fractions 4409/746,2084/6642 is 1/2477466
Least Common Multiple of 746,6642 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 746,6642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(746,6642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(746,6642) x common factors =2 x 1 = 2
LCM(746,6642) = ( 746 × 6642 ) / 2
LCM(746,6642) = 4954932 / 2
LCM(746,6642) = 2477466
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4409/746, 2084/6642
1. What is the HCF of 4409,2084?
The HCF of 4409,2084 is 1
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 4409/746, 2084/6642?
Answer: GCF of Numerators as per given numbers 4409/746, 2084/6642 is
GCF of Numerators i.e. for 4409,2084 is 1
LCM of denominators i.e. for 746,6642 is 2477466.
Thus, GCF of Fractions is 1/2477466.Finally, GCF of Fractions for 4409/746, 2084/6642 is 1/2477466.