Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 335/530,660/156,354/213
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 335,660,354
Greatest Common Factor of Numerators i.e. GCF of 335,660,354 is 1 .
LCM of Denominators means LCM of 530,156,213 as per the given fractions.
LCM of 530,156,213 is 2935140 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 335,660,354
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 335
List of positive integer factors of 335 that divides 335 without a remainder.
1,5,67,335
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 354
List of positive integer factors of 354 that divides 354 without a remainder.
1,2,3,6,59,118,177,354
Greatest Common Factor
We found the factors 335,660,354 . The biggest common factor number is the GCF number.
So the greatest common factor 335,660,354 is 1.
Lets's calculate LCM of 530,156,213
2 | 530, 156, 213 |
3 | 265, 78, 213 |
265, 26, 71 |
∴ So the LCM of the given numbers is 2 x 3 x 265 x 26 x 71 = 2935140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2935140
Therefore, the GCF of Fractions 335/530,660/156,354/213 is 1/2935140
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 530,156,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,156,213) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(530,156,213) x common factors =1 x 6 = 6
LCM(530,156,213) = ( 530 × 156 × 213 ) / 6
LCM(530,156,213) = 17610840 / 6
LCM(530,156,213) = 2935140
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 335/530, 660/156, 354/213?
Answer: GCF of Numerators as per given numbers 335/530, 660/156, 354/213 is
GCF of Numerators i.e. for 335,660,354 is 1
LCM of denominators i.e. for 530,156,213 is 2935140.
Thus, GCF of Fractions is 1/2935140.Finally, GCF of Fractions for 335/530, 660/156, 354/213 is 1/2935140.