Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5970/202,2250/252
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 5970,2250
Greatest Common Factor of Numerators i.e. GCF of 5970,2250 is 30 .
LCM of Denominators means LCM of 202,252 as per the given fractions.
LCM of 202,252 is 25452 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5970,2250
2 | 5970, 2250 |
3 | 2985, 1125 |
5 | 995, 375 |
199, 75 |
∴ So the GCF of the given numbers is 2 x 3 x 5 = 30
Factors of 5970
List of positive integer factors of 5970 that divides 5970 without a remainder.
1,2,3,5,6,10,15,30,199,398,597,995,1194,1990,2985,5970
Factors of 2250
List of positive integer factors of 2250 that divides 2250 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,125,150,225,250,375,450,750,1125,2250
Greatest Common Factor
We found the factors 5970,2250 . The biggest common factor number is the GCF number.
So the greatest common factor 5970,2250 is 30.
Lets's calculate LCM of 202,252
2 | 202, 252 |
101, 126 |
∴ So the LCM of the given numbers is 2 x 101 x 126 = 25452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 30/25452
Therefore, the GCF of Fractions 5970/202,2250/252 is 30/25452
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 202,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(202,252) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(202,252) x common factors =2 x 1 = 2
LCM(202,252) = ( 202 × 252 ) / 2
LCM(202,252) = 50904 / 2
LCM(202,252) = 25452
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 5970/202, 2250/252?
Answer: GCF of Numerators as per given numbers 5970/202, 2250/252 is
GCF of Numerators i.e. for 5970,2250 is 30
LCM of denominators i.e. for 202,252 is 25452.
Thus, GCF of Fractions is 30/25452.Finally, GCF of Fractions for 5970/202, 2250/252 is 30/25452.