GCF of 1617/687, 4730/3940
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1617/687, 4730/3940 i.e 11/2706780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1617/687, 4730/3940.
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 1617/687,4730/3940?
Given fractions are 1617/687,4730/3940
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 1617/687,4730/3940, numerators are 1617,4730
Denominators are 687,3940
The GCF of 1617,4730 is 11 .
LCM of 687,3940 is 2706780.
The greatest common factor of 1617/687,4730/3940 = [GCF of 1617,4730]/[LCM of 687,3940]= 11/2706780
Therefore, the GCF of 1617/687,4730/3940 is 11/2706780.
To find the highest common factor of 1617,4730, we have to find the factors of both numbers and list the highest common factor.
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
The factors of 4730 are 1, 2, 5, 10, 11, 22, 43, 55, 86, 110, 215, 430, 473, 946, 2365, 4730
The HCF of 1617,4730 is 11.
Lets's calculate GCF of 1617,4730
| 11 | 1617, 4730 |
| 147, 430 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1617,4730 By Matching Biggest Common Factor Method
Now, list down the factors of 1617
:1,3,7,11,21,33,49,77,147,231,539,1617
Now, list down the factors of 4730
:1,2,5,10,11,22,43,55,86,110,215,430,473,946,2365,4730
Greatest Common Factor
We found the factors 1617,4730 . The biggest common factor number is the GCF number.
So the greatest common factor 1617,4730 is 11.
Lets's calculate LCM of 687,3940
Given numbers has no common factors except 1. So, there LCM is their product i.e 2706780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2706780
Therefore, the GCF of Fractions 1617/687,4730/3940 is 11/2706780
Least Common Multiple of 687,3940 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 687,3940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(687,3940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(687,3940) x common factors =1 x 1 = 1
LCM(687,3940) = ( 687 × 3940 ) / 1
LCM(687,3940) = 2706780 / 1
LCM(687,3940) = 2706780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1617/687, 4730/3940
1. What is the HCF of 1617,4730?
The HCF of 1617,4730 is 11
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 1617/687, 4730/3940?
Answer: GCF of Numerators as per given numbers 1617/687, 4730/3940 is
GCF of Numerators i.e. for 1617,4730 is 11
LCM of denominators i.e. for 687,3940 is 2706780.
Thus, GCF of Fractions is 11/2706780.Finally, GCF of Fractions for 1617/687, 4730/3940 is 11/2706780.