Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7942/50,1342/195
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 7942,1342
Greatest Common Factor of Numerators i.e. GCF of 7942,1342 is 22 .
LCM of Denominators means LCM of 50,195 as per the given fractions.
LCM of 50,195 is 1950 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7942,1342
2 | 7942, 1342 |
11 | 3971, 671 |
361, 61 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Factors of 7942
List of positive integer factors of 7942 that divides 7942 without a remainder.
1,2,11,19,22,38,209,361,418,722,3971,7942
Factors of 1342
List of positive integer factors of 1342 that divides 1342 without a remainder.
1,2,11,22,61,122,671,1342
Greatest Common Factor
We found the factors 7942,1342 . The biggest common factor number is the GCF number.
So the greatest common factor 7942,1342 is 22.
Lets's calculate LCM of 50,195
5 | 50, 195 |
10, 39 |
∴ So the LCM of the given numbers is 5 x 10 x 39 = 1950
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/1950
Therefore, the GCF of Fractions 7942/50,1342/195 is 22/1950
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 50,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,195) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(50,195) x common factors =5 x 1 = 5
LCM(50,195) = ( 50 × 195 ) / 5
LCM(50,195) = 9750 / 5
LCM(50,195) = 1950
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 7942/50, 1342/195?
Answer: GCF of Numerators as per given numbers 7942/50, 1342/195 is
GCF of Numerators i.e. for 7942,1342 is 22
LCM of denominators i.e. for 50,195 is 1950.
Thus, GCF of Fractions is 22/1950.Finally, GCF of Fractions for 7942/50, 1342/195 is 22/1950.