Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 202/20,752/24,202/171
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 202,752,202
Greatest Common Factor of Numerators i.e. GCF of 202,752,202 is 2 .
LCM of Denominators means LCM of 20,24,171 as per the given fractions.
LCM of 20,24,171 is 6840 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 202,752,202
2 | 202, 752, 202 |
101, 376, 101 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Greatest Common Factor
We found the factors 202,752,202 . The biggest common factor number is the GCF number.
So the greatest common factor 202,752,202 is 2.
Lets's calculate LCM of 20,24,171
2 | 20, 24, 171 |
2 | 10, 12, 171 |
3 | 5, 6, 171 |
5, 2, 57 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 2 x 57 = 6840
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6840
Therefore, the GCF of Fractions 202/20,752/24,202/171 is 2/6840
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 20,24,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,24,171) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(20,24,171) x common factors =1 x 12 = 12
LCM(20,24,171) = ( 20 × 24 × 171 ) / 12
LCM(20,24,171) = 82080 / 12
LCM(20,24,171) = 6840
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 202/20, 752/24, 202/171?
Answer: GCF of Numerators as per given numbers 202/20, 752/24, 202/171 is
GCF of Numerators i.e. for 202,752,202 is 2
LCM of denominators i.e. for 20,24,171 is 6840.
Thus, GCF of Fractions is 2/6840.Finally, GCF of Fractions for 202/20, 752/24, 202/171 is 2/6840.