Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 62/40,80/932,438/513
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 62,80,438
Greatest Common Factor of Numerators i.e. GCF of 62,80,438 is 2 .
LCM of Denominators means LCM of 40,932,513 as per the given fractions.
LCM of 40,932,513 is 4781160 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 62,80,438
2 | 62, 80, 438 |
31, 40, 219 |
∴ 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 80
List of positive integer factors of 80 that divides 80 without a remainder.
1,2,4,5,8,10,16,20,40,80
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 62,80,438 . The biggest common factor number is the GCF number.
So the greatest common factor 62,80,438 is 2.
Lets's calculate LCM of 40,932,513
2 | 40, 932, 513 |
2 | 20, 466, 513 |
10, 233, 513 |
∴ So the LCM of the given numbers is 2 x 2 x 10 x 233 x 513 = 4781160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4781160
Therefore, the GCF of Fractions 62/40,80/932,438/513 is 2/4781160
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 40,932,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,932,513) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(40,932,513) x common factors =1 x 4 = 4
LCM(40,932,513) = ( 40 × 932 × 513 ) / 4
LCM(40,932,513) = 19124640 / 4
LCM(40,932,513) = 4781160
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 62/40, 80/932, 438/513?
Answer: GCF of Numerators as per given numbers 62/40, 80/932, 438/513 is
GCF of Numerators i.e. for 62,80,438 is 2
LCM of denominators i.e. for 40,932,513 is 4781160.
Thus, GCF of Fractions is 2/4781160.Finally, GCF of Fractions for 62/40, 80/932, 438/513 is 2/4781160.