GCF of 1315/603, 1785/220
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1315/603, 1785/220 i.e 5/132660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1315/603, 1785/220.
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 1315/603,1785/220?
Given fractions are 1315/603,1785/220
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 1315/603,1785/220, numerators are 1315,1785
Denominators are 603,220
The GCF of 1315,1785 is 5 .
LCM of 603,220 is 132660.
The greatest common factor of 1315/603,1785/220 = [GCF of 1315,1785]/[LCM of 603,220]= 5/132660
Therefore, the GCF of 1315/603,1785/220 is 5/132660.
To find the highest common factor of 1315,1785, we have to find the factors of both numbers and list the highest common factor.
The factors of 1315 are 1, 5, 263, 1315
The factors of 1785 are 1, 3, 5, 7, 15, 17, 21, 35, 51, 85, 105, 119, 255, 357, 595, 1785
The HCF of 1315,1785 is 5.
Lets's calculate GCF of 1315,1785
| 5 | 1315, 1785 |
| 263, 357 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1315,1785 By Matching Biggest Common Factor Method
Now, list down the factors of 1315
:1,5,263,1315
Now, list down the factors of 1785
:1,3,5,7,15,17,21,35,51,85,105,119,255,357,595,1785
Greatest Common Factor
We found the factors 1315,1785 . The biggest common factor number is the GCF number.
So the greatest common factor 1315,1785 is 5.
Lets's calculate LCM of 603,220
Given numbers has no common factors except 1. So, there LCM is their product i.e 132660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/132660
Therefore, the GCF of Fractions 1315/603,1785/220 is 5/132660
Least Common Multiple of 603,220 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 603,220 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,220) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,220) x common factors =1 x 1 = 1
LCM(603,220) = ( 603 × 220 ) / 1
LCM(603,220) = 132660 / 1
LCM(603,220) = 132660
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1315/603, 1785/220
1. What is the HCF of 1315,1785?
The HCF of 1315,1785 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 1315/603, 1785/220?
Answer: GCF of Numerators as per given numbers 1315/603, 1785/220 is
GCF of Numerators i.e. for 1315,1785 is 5
LCM of denominators i.e. for 603,220 is 132660.
Thus, GCF of Fractions is 5/132660.Finally, GCF of Fractions for 1315/603, 1785/220 is 5/132660.