Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1953/15,1305/607
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 1953,1305
Greatest Common Factor of Numerators i.e. GCF of 1953,1305 is 9 .
LCM of Denominators means LCM of 15,607 as per the given fractions.
LCM of 15,607 is 9105 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1953,1305
3 | 1953, 1305 |
3 | 651, 435 |
217, 145 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Factors of 1953
List of positive integer factors of 1953 that divides 1953 without a remainder.
1,3,7,9,21,31,63,93,217,279,651,1953
Factors of 1305
List of positive integer factors of 1305 that divides 1305 without a remainder.
1,3,5,9,15,29,45,87,145,261,435,1305
Greatest Common Factor
We found the factors 1953,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 1953,1305 is 9.
Lets's calculate LCM of 15,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 9105
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/9105
Therefore, the GCF of Fractions 1953/15,1305/607 is 9/9105
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 15,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,607) x common factors =1 x 1 = 1
LCM(15,607) = ( 15 × 607 ) / 1
LCM(15,607) = 9105 / 1
LCM(15,607) = 9105
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 1953/15, 1305/607?
Answer: GCF of Numerators as per given numbers 1953/15, 1305/607 is
GCF of Numerators i.e. for 1953,1305 is 9
LCM of denominators i.e. for 15,607 is 9105.
Thus, GCF of Fractions is 9/9105.Finally, GCF of Fractions for 1953/15, 1305/607 is 9/9105.