Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5614/51,9606/736
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 5614,9606
Greatest Common Factor of Numerators i.e. GCF of 5614,9606 is 2 .
LCM of Denominators means LCM of 51,736 as per the given fractions.
LCM of 51,736 is 37536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5614,9606
2 | 5614, 9606 |
2807, 4803 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 5614
List of positive integer factors of 5614 that divides 5614 without a remainder.
1,2,7,14,401,802,2807,5614
Factors of 9606
List of positive integer factors of 9606 that divides 9606 without a remainder.
1,2,3,6,1601,3202,4803,9606
Greatest Common Factor
We found the factors 5614,9606 . The biggest common factor number is the GCF number.
So the greatest common factor 5614,9606 is 2.
Lets's calculate LCM of 51,736
Given numbers has no common factors except 1. So, there LCM is their product i.e 37536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/37536
Therefore, the GCF of Fractions 5614/51,9606/736 is 2/37536
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 51,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,736) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,736) x common factors =1 x 1 = 1
LCM(51,736) = ( 51 × 736 ) / 1
LCM(51,736) = 37536 / 1
LCM(51,736) = 37536
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 5614/51, 9606/736?
Answer: GCF of Numerators as per given numbers 5614/51, 9606/736 is
GCF of Numerators i.e. for 5614,9606 is 2
LCM of denominators i.e. for 51,736 is 37536.
Thus, GCF of Fractions is 2/37536.Finally, GCF of Fractions for 5614/51, 9606/736 is 2/37536.