Use our free GCF of Fractions Calculator tool to compute the GCF of 1730/497, 8515/3260 i.e 5/1620220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1730/497, 8515/3260.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1730/497,8515/3260
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 1730/497,8515/3260, numerators are 1730,8515
Denominators are 497,3260
The GCF of 1730,8515 is 5 .
LCM of 497,3260 is 1620220.
The greatest common factor of 1730/497,8515/3260 = [GCF of 1730,8515]/[LCM of 497,3260]= 5/1620220
Therefore, the GCF of 1730/497,8515/3260 is 5/1620220.
To find the highest common factor of 1730,8515, we have to find the factors of both numbers and list the highest common factor.
The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730
The factors of 8515 are 1, 5, 13, 65, 131, 655, 1703, 8515
The HCF of 1730,8515 is 5.
Lets's calculate GCF of 1730,8515
5 | 1730, 8515 |
346, 1703 |
∴ So the GCF of the given numbers is 5 = 5
Now, list down the factors of 1730
:1,2,5,10,173,346,865,1730
Now, list down the factors of 8515
:1,5,13,65,131,655,1703,8515
Greatest Common Factor
We found the factors 1730,8515 . The biggest common factor number is the GCF number.
So the greatest common factor 1730,8515 is 5.
Lets's calculate LCM of 497,3260
Given numbers has no common factors except 1. So, there LCM is their product i.e 1620220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1620220
Therefore, the GCF of Fractions 1730/497,8515/3260 is 5/1620220
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 497,3260 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,3260) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,3260) x common factors =1 x 1 = 1
LCM(497,3260) = ( 497 × 3260 ) / 1
LCM(497,3260) = 1620220 / 1
LCM(497,3260) = 1620220
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 1730,8515?
The HCF of 1730,8515 is 5
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 1730/497, 8515/3260?
Answer: GCF of Numerators as per given numbers 1730/497, 8515/3260 is
GCF of Numerators i.e. for 1730,8515 is 5
LCM of denominators i.e. for 497,3260 is 1620220.
Thus, GCF of Fractions is 5/1620220.Finally, GCF of Fractions for 1730/497, 8515/3260 is 5/1620220.