Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 83/80,70/194,504/662
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 83,70,504
Greatest Common Factor of Numerators i.e. GCF of 83,70,504 is 1 .
LCM of Denominators means LCM of 80,194,662 as per the given fractions.
LCM of 80,194,662 is 2568560 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 83,70,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 83,70,504 . The biggest common factor number is the GCF number.
So the greatest common factor 83,70,504 is 1.
Lets's calculate LCM of 80,194,662
2 | 80, 194, 662 |
40, 97, 331 |
∴ So the LCM of the given numbers is 2 x 40 x 97 x 331 = 2568560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2568560
Therefore, the GCF of Fractions 83/80,70/194,504/662 is 1/2568560
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 80,194,662 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,194,662) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(80,194,662) x common factors =2 x 2 = 4
LCM(80,194,662) = ( 80 × 194 × 662 ) / 4
LCM(80,194,662) = 10274240 / 4
LCM(80,194,662) = 2568560
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 83/80, 70/194, 504/662?
Answer: GCF of Numerators as per given numbers 83/80, 70/194, 504/662 is
GCF of Numerators i.e. for 83,70,504 is 1
LCM of denominators i.e. for 80,194,662 is 2568560.
Thus, GCF of Fractions is 1/2568560.Finally, GCF of Fractions for 83/80, 70/194, 504/662 is 1/2568560.