GCF of 1610/980, 7317/2888
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1610/980, 7317/2888 i.e 1/707560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1610/980, 7317/2888.
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 1610/980,7317/2888?
Given fractions are 1610/980,7317/2888
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 1610/980,7317/2888, numerators are 1610,7317
Denominators are 980,2888
The GCF of 1610,7317 is 1 .
LCM of 980,2888 is 707560.
The greatest common factor of 1610/980,7317/2888 = [GCF of 1610,7317]/[LCM of 980,2888]= 1/707560
Therefore, the GCF of 1610/980,7317/2888 is 1/707560.
To find the highest common factor of 1610,7317, we have to find the factors of both numbers and list the highest common factor.
The factors of 1610 are 1, 2, 5, 7, 10, 14, 23, 35, 46, 70, 115, 161, 230, 322, 805, 1610
The factors of 7317 are 1, 3, 9, 27, 271, 813, 2439, 7317
The HCF of 1610,7317 is 1.
Lets's calculate GCF of 1610,7317
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1610,7317 By Matching Biggest Common Factor Method
Now, list down the factors of 1610
:1,2,5,7,10,14,23,35,46,70,115,161,230,322,805,1610
Now, list down the factors of 7317
:1,3,9,27,271,813,2439,7317
Greatest Common Factor
We found the factors 1610,7317 . The biggest common factor number is the GCF number.
So the greatest common factor 1610,7317 is 1.
Lets's calculate LCM of 980,2888
| 2 | 980, 2888 |
| 2 | 490, 1444 |
| 245, 722 |
∴ So the LCM of the given numbers is 2 x 2 x 245 x 722 = 707560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/707560
Therefore, the GCF of Fractions 1610/980,7317/2888 is 1/707560
Least Common Multiple of 980,2888 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 980,2888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(980,2888) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(980,2888) x common factors =4 x 1 = 4
LCM(980,2888) = ( 980 × 2888 ) / 4
LCM(980,2888) = 2830240 / 4
LCM(980,2888) = 707560
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1610/980, 7317/2888
1. What is the HCF of 1610,7317?
The HCF of 1610,7317 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 1610/980, 7317/2888?
Answer: GCF of Numerators as per given numbers 1610/980, 7317/2888 is
GCF of Numerators i.e. for 1610,7317 is 1
LCM of denominators i.e. for 980,2888 is 707560.
Thus, GCF of Fractions is 1/707560.Finally, GCF of Fractions for 1610/980, 7317/2888 is 1/707560.