GCF of 4017/618, 1631/2998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4017/618, 1631/2998 i.e 1/926382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4017/618, 1631/2998.
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 4017/618,1631/2998?
Given fractions are 4017/618,1631/2998
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 4017/618,1631/2998, numerators are 4017,1631
Denominators are 618,2998
The GCF of 4017,1631 is 1 .
LCM of 618,2998 is 926382.
The greatest common factor of 4017/618,1631/2998 = [GCF of 4017,1631]/[LCM of 618,2998]= 1/926382
Therefore, the GCF of 4017/618,1631/2998 is 1/926382.
To find the highest common factor of 4017,1631, we have to find the factors of both numbers and list the highest common factor.
The factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017
The factors of 1631 are 1, 7, 233, 1631
The HCF of 4017,1631 is 1.
Lets's calculate GCF of 4017,1631
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4017,1631 By Matching Biggest Common Factor Method
Now, list down the factors of 4017
:1,3,13,39,103,309,1339,4017
Now, list down the factors of 1631
:1,7,233,1631
Greatest Common Factor
We found the factors 4017,1631 . The biggest common factor number is the GCF number.
So the greatest common factor 4017,1631 is 1.
Lets's calculate LCM of 618,2998
| 2 | 618, 2998 |
| 309, 1499 |
∴ So the LCM of the given numbers is 2 x 309 x 1499 = 926382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/926382
Therefore, the GCF of Fractions 4017/618,1631/2998 is 1/926382
Least Common Multiple of 618,2998 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 618,2998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,2998) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(618,2998) x common factors =2 x 1 = 2
LCM(618,2998) = ( 618 × 2998 ) / 2
LCM(618,2998) = 1852764 / 2
LCM(618,2998) = 926382
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FAQs on GCF of Fractions of 4017/618, 1631/2998
1. What is the HCF of 4017,1631?
The HCF of 4017,1631 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 4017/618, 1631/2998?
Answer: GCF of Numerators as per given numbers 4017/618, 1631/2998 is
GCF of Numerators i.e. for 4017,1631 is 1
LCM of denominators i.e. for 618,2998 is 926382.
Thus, GCF of Fractions is 1/926382.Finally, GCF of Fractions for 4017/618, 1631/2998 is 1/926382.