GCF of 3722/336, 5576/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3722/336, 5576/326 i.e 2/54768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3722/336, 5576/326.
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 3722/336,5576/326?
Given fractions are 3722/336,5576/326
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 3722/336,5576/326, numerators are 3722,5576
Denominators are 336,326
The GCF of 3722,5576 is 2 .
LCM of 336,326 is 54768.
The greatest common factor of 3722/336,5576/326 = [GCF of 3722,5576]/[LCM of 336,326]= 2/54768
Therefore, the GCF of 3722/336,5576/326 is 2/54768.
To find the highest common factor of 3722,5576, we have to find the factors of both numbers and list the highest common factor.
The factors of 3722 are 1, 2, 1861, 3722
The factors of 5576 are 1, 2, 4, 8, 17, 34, 41, 68, 82, 136, 164, 328, 697, 1394, 2788, 5576
The HCF of 3722,5576 is 2.
Lets's calculate GCF of 3722,5576
| 2 | 3722, 5576 |
| 1861, 2788 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3722,5576 By Matching Biggest Common Factor Method
Now, list down the factors of 3722
:1,2,1861,3722
Now, list down the factors of 5576
:1,2,4,8,17,34,41,68,82,136,164,328,697,1394,2788,5576
Greatest Common Factor
We found the factors 3722,5576 . The biggest common factor number is the GCF number.
So the greatest common factor 3722,5576 is 2.
Lets's calculate LCM of 336,326
| 2 | 336, 326 |
| 168, 163 |
∴ So the LCM of the given numbers is 2 x 168 x 163 = 54768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/54768
Therefore, the GCF of Fractions 3722/336,5576/326 is 2/54768
Least Common Multiple of 336,326 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 336,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(336,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(336,326) x common factors =2 x 1 = 2
LCM(336,326) = ( 336 × 326 ) / 2
LCM(336,326) = 109536 / 2
LCM(336,326) = 54768
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FAQs on GCF of Fractions of 3722/336, 5576/326
1. What is the HCF of 3722,5576?
The HCF of 3722,5576 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 3722/336, 5576/326?
Answer: GCF of Numerators as per given numbers 3722/336, 5576/326 is
GCF of Numerators i.e. for 3722,5576 is 2
LCM of denominators i.e. for 336,326 is 54768.
Thus, GCF of Fractions is 2/54768.Finally, GCF of Fractions for 3722/336, 5576/326 is 2/54768.