Use our free GCF of Fractions Calculator tool to compute the GCF of 860/960, 742/615 i.e 2/39360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 860/960, 742/615.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 860/960,742/615
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 860/960,742/615, numerators are 860,742
Denominators are 960,615
The GCF of 860,742 is 2 .
LCM of 960,615 is 39360.
The greatest common factor of 860/960,742/615 = [GCF of 860,742]/[LCM of 960,615]= 2/39360
Therefore, the GCF of 860/960,742/615 is 2/39360.
To find the highest common factor of 860,742, we have to find the factors of both numbers and list the highest common factor.
The factors of 860 are 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
The factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742
The HCF of 860,742 is 2.
Lets's calculate GCF of 860,742
2 | 860, 742 |
430, 371 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 860
:1,2,4,5,10,20,43,86,172,215,430,860
Now, list down the factors of 742
:1,2,7,14,53,106,371,742
Greatest Common Factor
We found the factors 860,742 . The biggest common factor number is the GCF number.
So the greatest common factor 860,742 is 2.
Lets's calculate LCM of 960,615
3 | 960, 615 |
5 | 320, 205 |
64, 41 |
∴ So the LCM of the given numbers is 3 x 5 x 64 x 41 = 39360
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39360
Therefore, the GCF of Fractions 860/960,742/615 is 2/39360
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 960,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(960,615) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(960,615) x common factors =15 x 1 = 15
LCM(960,615) = ( 960 × 615 ) / 15
LCM(960,615) = 590400 / 15
LCM(960,615) = 39360
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 860,742?
The HCF of 860,742 is 2
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 860/960, 742/615?
Answer: GCF of Numerators as per given numbers 860/960, 742/615 is
GCF of Numerators i.e. for 860,742 is 2
LCM of denominators i.e. for 960,615 is 39360.
Thus, GCF of Fractions is 2/39360.Finally, GCF of Fractions for 860/960, 742/615 is 2/39360.