Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 220/650,7494/4014
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 220,7494
Greatest Common Factor of Numerators i.e. GCF of 220,7494 is 2 .
LCM of Denominators means LCM of 650,4014 as per the given fractions.
LCM of 650,4014 is 1304550 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 220,7494
2 | 220, 7494 |
110, 3747 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 7494
List of positive integer factors of 7494 that divides 7494 without a remainder.
1,2,3,6,1249,2498,3747,7494
Greatest Common Factor
We found the factors 220,7494 . The biggest common factor number is the GCF number.
So the greatest common factor 220,7494 is 2.
Lets's calculate LCM of 650,4014
2 | 650, 4014 |
325, 2007 |
∴ So the LCM of the given numbers is 2 x 325 x 2007 = 1304550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1304550
Therefore, the GCF of Fractions 220/650,7494/4014 is 2/1304550
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 650,4014 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,4014) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(650,4014) x common factors =2 x 1 = 2
LCM(650,4014) = ( 650 × 4014 ) / 2
LCM(650,4014) = 2609100 / 2
LCM(650,4014) = 1304550
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 220/650, 7494/4014?
Answer: GCF of Numerators as per given numbers 220/650, 7494/4014 is
GCF of Numerators i.e. for 220,7494 is 2
LCM of denominators i.e. for 650,4014 is 1304550.
Thus, GCF of Fractions is 2/1304550.Finally, GCF of Fractions for 220/650, 7494/4014 is 2/1304550.