Use our free GCF of Fractions Calculator tool to compute the GCF of 653/365, 686/360 i.e 1/26280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/365, 686/360.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/365,686/360
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 653/365,686/360, numerators are 653,686
Denominators are 365,360
The GCF of 653,686 is 1 .
LCM of 365,360 is 26280.
The greatest common factor of 653/365,686/360 = [GCF of 653,686]/[LCM of 365,360]= 1/26280
Therefore, the GCF of 653/365,686/360 is 1/26280.
To find the highest common factor of 653,686, we have to find the factors of both numbers and list the highest common factor.
The factors of 653 are 1, 653
The factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686
The HCF of 653,686 is 1.
Lets's calculate GCF of 653,686
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 653
:1,653
Now, list down the factors of 686
:1,2,7,14,49,98,343,686
Greatest Common Factor
We found the factors 653,686 . The biggest common factor number is the GCF number.
So the greatest common factor 653,686 is 1.
Lets's calculate LCM of 365,360
5 | 365, 360 |
73, 72 |
∴ So the LCM of the given numbers is 5 x 73 x 72 = 26280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26280
Therefore, the GCF of Fractions 653/365,686/360 is 1/26280
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 365,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,360) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(365,360) x common factors =5 x 1 = 5
LCM(365,360) = ( 365 × 360 ) / 5
LCM(365,360) = 131400 / 5
LCM(365,360) = 26280
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 653,686?
The HCF of 653,686 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 653/365, 686/360?
Answer: GCF of Numerators as per given numbers 653/365, 686/360 is
GCF of Numerators i.e. for 653,686 is 1
LCM of denominators i.e. for 365,360 is 26280.
Thus, GCF of Fractions is 1/26280.Finally, GCF of Fractions for 653/365, 686/360 is 1/26280.