Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6312/48,3573/617
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 6312,3573
Greatest Common Factor of Numerators i.e. GCF of 6312,3573 is 3 .
LCM of Denominators means LCM of 48,617 as per the given fractions.
LCM of 48,617 is 29616 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6312,3573
3 | 6312, 3573 |
2104, 1191 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 6312
List of positive integer factors of 6312 that divides 6312 without a remainder.
1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312
Factors of 3573
List of positive integer factors of 3573 that divides 3573 without a remainder.
1,3,9,397,1191,3573
Greatest Common Factor
We found the factors 6312,3573 . The biggest common factor number is the GCF number.
So the greatest common factor 6312,3573 is 3.
Lets's calculate LCM of 48,617
Given numbers has no common factors except 1. So, there LCM is their product i.e 29616
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/29616
Therefore, the GCF of Fractions 6312/48,3573/617 is 3/29616
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 48,617 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(48,617) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(48,617) x common factors =1 x 1 = 1
LCM(48,617) = ( 48 × 617 ) / 1
LCM(48,617) = 29616 / 1
LCM(48,617) = 29616
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 6312/48, 3573/617?
Answer: GCF of Numerators as per given numbers 6312/48, 3573/617 is
GCF of Numerators i.e. for 6312,3573 is 3
LCM of denominators i.e. for 48,617 is 29616.
Thus, GCF of Fractions is 3/29616.Finally, GCF of Fractions for 6312/48, 3573/617 is 3/29616.