Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 744/970,125/873,704/598
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 744,125,704
Greatest Common Factor of Numerators i.e. GCF of 744,125,704 is 1 .
LCM of Denominators means LCM of 970,873,598 as per the given fractions.
LCM of 970,873,598 is 2610270 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 744,125,704
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Factors of 704
List of positive integer factors of 704 that divides 704 without a remainder.
1,2,4,8,11,16,22,32,44,64,88,176,352,704
Greatest Common Factor
We found the factors 744,125,704 . The biggest common factor number is the GCF number.
So the greatest common factor 744,125,704 is 1.
Lets's calculate LCM of 970,873,598
2 | 970, 873, 598 |
97 | 485, 873, 299 |
5, 9, 299 |
∴ So the LCM of the given numbers is 2 x 97 x 5 x 9 x 299 = 2610270
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2610270
Therefore, the GCF of Fractions 744/970,125/873,704/598 is 1/2610270
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 970,873,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,873,598) = 1
common factors(in case of two or more numbers have common factors) = 194
GCF(970,873,598) x common factors =1 x 194 = 194
LCM(970,873,598) = ( 970 × 873 × 598 ) / 194
LCM(970,873,598) = 506392380 / 194
LCM(970,873,598) = 2610270
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 744/970, 125/873, 704/598?
Answer: GCF of Numerators as per given numbers 744/970, 125/873, 704/598 is
GCF of Numerators i.e. for 744,125,704 is 1
LCM of denominators i.e. for 970,873,598 is 2610270.
Thus, GCF of Fractions is 1/2610270.Finally, GCF of Fractions for 744/970, 125/873, 704/598 is 1/2610270.