Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 190/942,194/401,280/989
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 190,194,280
Greatest Common Factor of Numerators i.e. GCF of 190,194,280 is 2 .
LCM of Denominators means LCM of 942,401,989 as per the given fractions.
LCM of 942,401,989 is 373586838 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 190,194,280
2 | 190, 194, 280 |
95, 97, 140 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Factors of 194
List of positive integer factors of 194 that divides 194 without a remainder.
1,2,97,194
Factors of 280
List of positive integer factors of 280 that divides 280 without a remainder.
1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 190,194,280 . The biggest common factor number is the GCF number.
So the greatest common factor 190,194,280 is 2.
Lets's calculate LCM of 942,401,989
Given numbers has no common factors except 1. So, there LCM is their product i.e 373586838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/373586838
Therefore, the GCF of Fractions 190/942,194/401,280/989 is 2/373586838
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 942,401,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(942,401,989) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(942,401,989) x common factors =1 x 1 = 1
LCM(942,401,989) = ( 942 × 401 × 989 ) / 1
LCM(942,401,989) = 373586838 / 1
LCM(942,401,989) = 373586838
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 190/942, 194/401, 280/989?
Answer: GCF of Numerators as per given numbers 190/942, 194/401, 280/989 is
GCF of Numerators i.e. for 190,194,280 is 2
LCM of denominators i.e. for 942,401,989 is 373586838.
Thus, GCF of Fractions is 2/373586838.Finally, GCF of Fractions for 190/942, 194/401, 280/989 is 2/373586838.