Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 834/70,798/13,218/950
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 834,798,218
Greatest Common Factor of Numerators i.e. GCF of 834,798,218 is 2 .
LCM of Denominators means LCM of 70,13,950 as per the given fractions.
LCM of 70,13,950 is 86450 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 834,798,218
2 | 834, 798, 218 |
417, 399, 109 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 834
List of positive integer factors of 834 that divides 834 without a remainder.
1,2,3,6,139,278,417,834
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 218
List of positive integer factors of 218 that divides 218 without a remainder.
1,2,109,218
Greatest Common Factor
We found the factors 834,798,218 . The biggest common factor number is the GCF number.
So the greatest common factor 834,798,218 is 2.
Lets's calculate LCM of 70,13,950
2 | 70, 13, 950 |
5 | 35, 13, 475 |
7, 13, 95 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 13 x 95 = 86450
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/86450
Therefore, the GCF of Fractions 834/70,798/13,218/950 is 2/86450
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 70,13,950 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(70,13,950) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(70,13,950) x common factors =1 x 10 = 10
LCM(70,13,950) = ( 70 × 13 × 950 ) / 10
LCM(70,13,950) = 864500 / 10
LCM(70,13,950) = 86450
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 834/70, 798/13, 218/950?
Answer: GCF of Numerators as per given numbers 834/70, 798/13, 218/950 is
GCF of Numerators i.e. for 834,798,218 is 2
LCM of denominators i.e. for 70,13,950 is 86450.
Thus, GCF of Fractions is 2/86450.Finally, GCF of Fractions for 834/70, 798/13, 218/950 is 2/86450.