Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 610/231,7070/575
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 610,7070
Greatest Common Factor of Numerators i.e. GCF of 610,7070 is 10 .
LCM of Denominators means LCM of 231,575 as per the given fractions.
LCM of 231,575 is 132825 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 610,7070
2 | 610, 7070 |
5 | 305, 3535 |
61, 707 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Factors of 610
List of positive integer factors of 610 that divides 610 without a remainder.
1,2,5,10,61,122,305,610
Factors of 7070
List of positive integer factors of 7070 that divides 7070 without a remainder.
1,2,5,7,10,14,35,70,101,202,505,707,1010,1414,3535,7070
Greatest Common Factor
We found the factors 610,7070 . The biggest common factor number is the GCF number.
So the greatest common factor 610,7070 is 10.
Lets's calculate LCM of 231,575
Given numbers has no common factors except 1. So, there LCM is their product i.e 132825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/132825
Therefore, the GCF of Fractions 610/231,7070/575 is 10/132825
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 231,575 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,575) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(231,575) x common factors =1 x 1 = 1
LCM(231,575) = ( 231 × 575 ) / 1
LCM(231,575) = 132825 / 1
LCM(231,575) = 132825
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. 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.
2. What is the GCF of Fractions for 610/231, 7070/575?
Answer: GCF of Numerators as per given numbers 610/231, 7070/575 is
GCF of Numerators i.e. for 610,7070 is 10
LCM of denominators i.e. for 231,575 is 132825.
Thus, GCF of Fractions is 10/132825.Finally, GCF of Fractions for 610/231, 7070/575 is 10/132825.