Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/30,98/83,824/146
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 62,98,824
Greatest Common Factor of Numerators i.e. GCF of 62,98,824 is 2 .
LCM of Denominators means LCM of 30,83,146 as per the given fractions.
LCM of 30,83,146 is 181770 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,98,824
2 | 62, 98, 824 |
31, 49, 412 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 824
List of positive integer factors of 824 that divides 824 without a remainder.
1,2,4,8,103,206,412,824
Greatest Common Factor
We found the factors 62,98,824 . The biggest common factor number is the GCF number.
So the greatest common factor 62,98,824 is 2.
Lets's calculate LCM of 30,83,146
2 | 30, 83, 146 |
15, 83, 73 |
∴ So the LCM of the given numbers is 2 x 15 x 83 x 73 = 181770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/181770
Therefore, the GCF of Fractions 62/30,98/83,824/146 is 2/181770
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 30,83,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,83,146) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(30,83,146) x common factors =1 x 2 = 2
LCM(30,83,146) = ( 30 × 83 × 146 ) / 2
LCM(30,83,146) = 363540 / 2
LCM(30,83,146) = 181770
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 62/30, 98/83, 824/146?
Answer: GCF of Numerators as per given numbers 62/30, 98/83, 824/146 is
GCF of Numerators i.e. for 62,98,824 is 2
LCM of denominators i.e. for 30,83,146 is 181770.
Thus, GCF of Fractions is 2/181770.Finally, GCF of Fractions for 62/30, 98/83, 824/146 is 2/181770.