Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/35,47/90,33/963,550/202
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 6,47,33,550
Greatest Common Factor of Numerators i.e. GCF of 6,47,33,550 is 1 .
LCM of Denominators means LCM of 35,90,963,202 as per the given fractions.
LCM of 35,90,963,202 is 6808410 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,47,33,550
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 550
List of positive integer factors of 550 that divides 550 without a remainder.
1,2,5,10,11,22,25,50,55,110,275,550
Greatest Common Factor
We found the factors 6,47,33,550 . The biggest common factor number is the GCF number.
So the greatest common factor 6,47,33,550 is 1.
Lets's calculate LCM of 35,90,963,202
2 | 35, 90, 963, 202 |
3 | 35, 45, 963, 101 |
3 | 35, 15, 321, 101 |
5 | 35, 5, 107, 101 |
7, 1, 107, 101 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 7 x 1 x 107 x 101 = 6808410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6808410
Therefore, the GCF of Fractions 6/35,47/90,33/963,550/202 is 1/6808410
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 35,90,963,202 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,90,963,202) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(35,90,963,202) x common factors =1 x 90 = 90
LCM(35,90,963,202) = ( 35 × 90 × 963 × 202 ) / 90
LCM(35,90,963,202) = 612756900 / 90
LCM(35,90,963,202) = 6808410
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 6/35, 47/90, 33/963, 550/202?
Answer: GCF of Numerators as per given numbers 6/35, 47/90, 33/963, 550/202 is
GCF of Numerators i.e. for 6,47,33,550 is 1
LCM of denominators i.e. for 35,90,963,202 is 6808410.
Thus, GCF of Fractions is 1/6808410.Finally, GCF of Fractions for 6/35, 47/90, 33/963, 550/202 is 1/6808410.