GCF of 1306/835, 1485/650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1306/835, 1485/650 i.e 1/108550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1306/835, 1485/650.
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 1306/835,1485/650?
Given fractions are 1306/835,1485/650
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 1306/835,1485/650, numerators are 1306,1485
Denominators are 835,650
The GCF of 1306,1485 is 1 .
LCM of 835,650 is 108550.
The greatest common factor of 1306/835,1485/650 = [GCF of 1306,1485]/[LCM of 835,650]= 1/108550
Therefore, the GCF of 1306/835,1485/650 is 1/108550.
To find the highest common factor of 1306,1485, we have to find the factors of both numbers and list the highest common factor.
The factors of 1306 are 1, 2, 653, 1306
The factors of 1485 are 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 135, 165, 297, 495, 1485
The HCF of 1306,1485 is 1.
Lets's calculate GCF of 1306,1485
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1306,1485 By Matching Biggest Common Factor Method
Now, list down the factors of 1306
:1,2,653,1306
Now, list down the factors of 1485
:1,3,5,9,11,15,27,33,45,55,99,135,165,297,495,1485
Greatest Common Factor
We found the factors 1306,1485 . The biggest common factor number is the GCF number.
So the greatest common factor 1306,1485 is 1.
Lets's calculate LCM of 835,650
| 5 | 835, 650 |
| 167, 130 |
∴ So the LCM of the given numbers is 5 x 167 x 130 = 108550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/108550
Therefore, the GCF of Fractions 1306/835,1485/650 is 1/108550
Least Common Multiple of 835,650 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 835,650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(835,650) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(835,650) x common factors =5 x 1 = 5
LCM(835,650) = ( 835 × 650 ) / 5
LCM(835,650) = 542750 / 5
LCM(835,650) = 108550
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FAQs on GCF of Fractions of 1306/835, 1485/650
1. What is the HCF of 1306,1485?
The HCF of 1306,1485 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 1306/835, 1485/650?
Answer: GCF of Numerators as per given numbers 1306/835, 1485/650 is
GCF of Numerators i.e. for 1306,1485 is 1
LCM of denominators i.e. for 835,650 is 108550.
Thus, GCF of Fractions is 1/108550.Finally, GCF of Fractions for 1306/835, 1485/650 is 1/108550.