Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5118/54,1959/565
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 5118,1959
Greatest Common Factor of Numerators i.e. GCF of 5118,1959 is 3 .
LCM of Denominators means LCM of 54,565 as per the given fractions.
LCM of 54,565 is 30510 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5118,1959
3 | 5118, 1959 |
1706, 653 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5118
List of positive integer factors of 5118 that divides 5118 without a remainder.
1,2,3,6,853,1706,2559,5118
Factors of 1959
List of positive integer factors of 1959 that divides 1959 without a remainder.
1,3,653,1959
Greatest Common Factor
We found the factors 5118,1959 . The biggest common factor number is the GCF number.
So the greatest common factor 5118,1959 is 3.
Lets's calculate LCM of 54,565
Given numbers has no common factors except 1. So, there LCM is their product i.e 30510
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30510
Therefore, the GCF of Fractions 5118/54,1959/565 is 3/30510
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 54,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(54,565) x common factors =1 x 1 = 1
LCM(54,565) = ( 54 × 565 ) / 1
LCM(54,565) = 30510 / 1
LCM(54,565) = 30510
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 5118/54, 1959/565?
Answer: GCF of Numerators as per given numbers 5118/54, 1959/565 is
GCF of Numerators i.e. for 5118,1959 is 3
LCM of denominators i.e. for 54,565 is 30510.
Thus, GCF of Fractions is 3/30510.Finally, GCF of Fractions for 5118/54, 1959/565 is 3/30510.