Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 942/30,849/698
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 942,849
Greatest Common Factor of Numerators i.e. GCF of 942,849 is 3 .
LCM of Denominators means LCM of 30,698 as per the given fractions.
LCM of 30,698 is 10470 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 942,849
3 | 942, 849 |
314, 283 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 849
List of positive integer factors of 849 that divides 849 without a remainder.
1,3,283,849
Greatest Common Factor
We found the factors 942,849 . The biggest common factor number is the GCF number.
So the greatest common factor 942,849 is 3.
Lets's calculate LCM of 30,698
2 | 30, 698 |
15, 349 |
∴ So the LCM of the given numbers is 2 x 15 x 349 = 10470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10470
Therefore, the GCF of Fractions 942/30,849/698 is 3/10470
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 30,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,698) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(30,698) x common factors =2 x 1 = 2
LCM(30,698) = ( 30 × 698 ) / 2
LCM(30,698) = 20940 / 2
LCM(30,698) = 10470
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 942/30, 849/698?
Answer: GCF of Numerators as per given numbers 942/30, 849/698 is
GCF of Numerators i.e. for 942,849 is 3
LCM of denominators i.e. for 30,698 is 10470.
Thus, GCF of Fractions is 3/10470.Finally, GCF of Fractions for 942/30, 849/698 is 3/10470.