Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 80/754,216/149,914/416
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 80,216,914
Greatest Common Factor of Numerators i.e. GCF of 80,216,914 is 2 .
LCM of Denominators means LCM of 754,149,416 as per the given fractions.
LCM of 754,149,416 is 1797536 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 80,216,914
2 | 80, 216, 914 |
40, 108, 457 |
∴ So the GCF of the given numbers is 2 = 2
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 216
List of positive integer factors of 216 that divides 216 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 80,216,914 . The biggest common factor number is the GCF number.
So the greatest common factor 80,216,914 is 2.
Lets's calculate LCM of 754,149,416
2 | 754, 149, 416 |
13 | 377, 149, 208 |
29, 149, 16 |
∴ So the LCM of the given numbers is 2 x 13 x 29 x 149 x 16 = 1797536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1797536
Therefore, the GCF of Fractions 80/754,216/149,914/416 is 2/1797536
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 754,149,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,149,416) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(754,149,416) x common factors =1 x 26 = 26
LCM(754,149,416) = ( 754 × 149 × 416 ) / 26
LCM(754,149,416) = 46735936 / 26
LCM(754,149,416) = 1797536
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 80/754, 216/149, 914/416?
Answer: GCF of Numerators as per given numbers 80/754, 216/149, 914/416 is
GCF of Numerators i.e. for 80,216,914 is 2
LCM of denominators i.e. for 754,149,416 is 1797536.
Thus, GCF of Fractions is 2/1797536.Finally, GCF of Fractions for 80/754, 216/149, 914/416 is 2/1797536.