Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 699/44,660/50,517/478
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 699,660,517
Greatest Common Factor of Numerators i.e. GCF of 699,660,517 is 1 .
LCM of Denominators means LCM of 44,50,478 as per the given fractions.
LCM of 44,50,478 is 262900 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 699,660,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 699
List of positive integer factors of 699 that divides 699 without a remainder.
1,3,233,699
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 699,660,517 . The biggest common factor number is the GCF number.
So the greatest common factor 699,660,517 is 1.
Lets's calculate LCM of 44,50,478
2 | 44, 50, 478 |
22, 25, 239 |
∴ So the LCM of the given numbers is 2 x 22 x 25 x 239 = 262900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/262900
Therefore, the GCF of Fractions 699/44,660/50,517/478 is 1/262900
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 44,50,478 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(44,50,478) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(44,50,478) x common factors =2 x 2 = 4
LCM(44,50,478) = ( 44 × 50 × 478 ) / 4
LCM(44,50,478) = 1051600 / 4
LCM(44,50,478) = 262900
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 699/44, 660/50, 517/478?
Answer: GCF of Numerators as per given numbers 699/44, 660/50, 517/478 is
GCF of Numerators i.e. for 699,660,517 is 1
LCM of denominators i.e. for 44,50,478 is 262900.
Thus, GCF of Fractions is 1/262900.Finally, GCF of Fractions for 699/44, 660/50, 517/478 is 1/262900.