Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 434/60,977/85,620/825
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 434,977,620
Greatest Common Factor of Numerators i.e. GCF of 434,977,620 is 1 .
LCM of Denominators means LCM of 60,85,825 as per the given fractions.
LCM of 60,85,825 is 56100 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 434,977,620
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 977
List of positive integer factors of 977 that divides 977 without a remainder.
1,977
Factors of 620
List of positive integer factors of 620 that divides 620 without a remainder.
1,2,4,5,10,20,31,62,124,155,310,620
Greatest Common Factor
We found the factors 434,977,620 . The biggest common factor number is the GCF number.
So the greatest common factor 434,977,620 is 1.
Lets's calculate LCM of 60,85,825
3 | 60, 85, 825 |
5 | 20, 85, 275 |
4, 17, 55 |
∴ So the LCM of the given numbers is 3 x 5 x 4 x 17 x 55 = 56100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56100
Therefore, the GCF of Fractions 434/60,977/85,620/825 is 1/56100
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 60,85,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(60,85,825) = 5
common factors(in case of two or more numbers have common factors) = 15
GCF(60,85,825) x common factors =5 x 15 = 75
LCM(60,85,825) = ( 60 × 85 × 825 ) / 75
LCM(60,85,825) = 4207500 / 75
LCM(60,85,825) = 56100
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 434/60, 977/85, 620/825?
Answer: GCF of Numerators as per given numbers 434/60, 977/85, 620/825 is
GCF of Numerators i.e. for 434,977,620 is 1
LCM of denominators i.e. for 60,85,825 is 56100.
Thus, GCF of Fractions is 1/56100.Finally, GCF of Fractions for 434/60, 977/85, 620/825 is 1/56100.