Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9556/619,2350/4636
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 9556,2350
Greatest Common Factor of Numerators i.e. GCF of 9556,2350 is 2 .
LCM of Denominators means LCM of 619,4636 as per the given fractions.
LCM of 619,4636 is 2869684 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9556,2350
2 | 9556, 2350 |
4778, 1175 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9556
List of positive integer factors of 9556 that divides 9556 without a remainder.
1,2,4,2389,4778,9556
Factors of 2350
List of positive integer factors of 2350 that divides 2350 without a remainder.
1,2,5,10,25,47,50,94,235,470,1175,2350
Greatest Common Factor
We found the factors 9556,2350 . The biggest common factor number is the GCF number.
So the greatest common factor 9556,2350 is 2.
Lets's calculate LCM of 619,4636
Given numbers has no common factors except 1. So, there LCM is their product i.e 2869684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2869684
Therefore, the GCF of Fractions 9556/619,2350/4636 is 2/2869684
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 619,4636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,4636) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,4636) x common factors =1 x 1 = 1
LCM(619,4636) = ( 619 × 4636 ) / 1
LCM(619,4636) = 2869684 / 1
LCM(619,4636) = 2869684
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 9556/619, 2350/4636?
Answer: GCF of Numerators as per given numbers 9556/619, 2350/4636 is
GCF of Numerators i.e. for 9556,2350 is 2
LCM of denominators i.e. for 619,4636 is 2869684.
Thus, GCF of Fractions is 2/2869684.Finally, GCF of Fractions for 9556/619, 2350/4636 is 2/2869684.