GCF of 3071/118, 3613/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3071/118, 3613/384 i.e 1/22656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3071/118, 3613/384.
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 3071/118,3613/384?
Given fractions are 3071/118,3613/384
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 3071/118,3613/384, numerators are 3071,3613
Denominators are 118,384
The GCF of 3071,3613 is 1 .
LCM of 118,384 is 22656.
The greatest common factor of 3071/118,3613/384 = [GCF of 3071,3613]/[LCM of 118,384]= 1/22656
Therefore, the GCF of 3071/118,3613/384 is 1/22656.
To find the highest common factor of 3071,3613, we have to find the factors of both numbers and list the highest common factor.
The factors of 3071 are 1, 37, 83, 3071
The factors of 3613 are 1, 3613
The HCF of 3071,3613 is 1.
Lets's calculate GCF of 3071,3613
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3071,3613 By Matching Biggest Common Factor Method
Now, list down the factors of 3071
:1,37,83,3071
Now, list down the factors of 3613
:1,3613
Greatest Common Factor
We found the factors 3071,3613 . The biggest common factor number is the GCF number.
So the greatest common factor 3071,3613 is 1.
Lets's calculate LCM of 118,384
| 2 | 118, 384 |
| 59, 192 |
∴ So the LCM of the given numbers is 2 x 59 x 192 = 22656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22656
Therefore, the GCF of Fractions 3071/118,3613/384 is 1/22656
Least Common Multiple of 118,384 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 118,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,384) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(118,384) x common factors =2 x 1 = 2
LCM(118,384) = ( 118 × 384 ) / 2
LCM(118,384) = 45312 / 2
LCM(118,384) = 22656
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FAQs on GCF of Fractions of 3071/118, 3613/384
1. What is the HCF of 3071,3613?
The HCF of 3071,3613 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 3071/118, 3613/384?
Answer: GCF of Numerators as per given numbers 3071/118, 3613/384 is
GCF of Numerators i.e. for 3071,3613 is 1
LCM of denominators i.e. for 118,384 is 22656.
Thus, GCF of Fractions is 1/22656.Finally, GCF of Fractions for 3071/118, 3613/384 is 1/22656.