Use our free GCF of Fractions Calculator tool to compute the GCF of 653/290, 795/786 i.e 1/113970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 653/290, 795/786.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 653/290,795/786
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 653/290,795/786, numerators are 653,795
Denominators are 290,786
The GCF of 653,795 is 1 .
LCM of 290,786 is 113970.
The greatest common factor of 653/290,795/786 = [GCF of 653,795]/[LCM of 290,786]= 1/113970
Therefore, the GCF of 653/290,795/786 is 1/113970.
To find the highest common factor of 653,795, 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 795 are 1, 3, 5, 15, 53, 159, 265, 795
The HCF of 653,795 is 1.
Lets's calculate GCF of 653,795
∴ 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 795
:1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 653,795 . The biggest common factor number is the GCF number.
So the greatest common factor 653,795 is 1.
Lets's calculate LCM of 290,786
2 | 290, 786 |
145, 393 |
∴ So the LCM of the given numbers is 2 x 145 x 393 = 113970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113970
Therefore, the GCF of Fractions 653/290,795/786 is 1/113970
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 290,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,786) x common factors =2 x 1 = 2
LCM(290,786) = ( 290 × 786 ) / 2
LCM(290,786) = 227940 / 2
LCM(290,786) = 113970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 653,795?
The HCF of 653,795 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 653/290, 795/786?
Answer: GCF of Numerators as per given numbers 653/290, 795/786 is
GCF of Numerators i.e. for 653,795 is 1
LCM of denominators i.e. for 290,786 is 113970.
Thus, GCF of Fractions is 1/113970.Finally, GCF of Fractions for 653/290, 795/786 is 1/113970.