Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7220/14,4317/518
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 7220,4317
Greatest Common Factor of Numerators i.e. GCF of 7220,4317 is 1 .
LCM of Denominators means LCM of 14,518 as per the given fractions.
LCM of 14,518 is 518 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7220,4317
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 7220
List of positive integer factors of 7220 that divides 7220 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,361,380,722,1444,1805,3610,7220
Factors of 4317
List of positive integer factors of 4317 that divides 4317 without a remainder.
1,3,1439,4317
Greatest Common Factor
We found the factors 7220,4317 . The biggest common factor number is the GCF number.
So the greatest common factor 7220,4317 is 1.
Lets's calculate LCM of 14,518
2 | 14, 518 |
7 | 7, 259 |
1, 37 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 37 = 518
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/518
Therefore, the GCF of Fractions 7220/14,4317/518 is 1/518
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 14,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,518) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(14,518) x common factors =14 x 1 = 14
LCM(14,518) = ( 14 × 518 ) / 14
LCM(14,518) = 7252 / 14
LCM(14,518) = 518
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 7220/14, 4317/518?
Answer: GCF of Numerators as per given numbers 7220/14, 4317/518 is
GCF of Numerators i.e. for 7220,4317 is 1
LCM of denominators i.e. for 14,518 is 518.
Thus, GCF of Fractions is 1/518.Finally, GCF of Fractions for 7220/14, 4317/518 is 1/518.