Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 651/21,612/460
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 651,612
Greatest Common Factor of Numerators i.e. GCF of 651,612 is 3 .
LCM of Denominators means LCM of 21,460 as per the given fractions.
LCM of 21,460 is 9660 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 651,612
3 | 651, 612 |
217, 204 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 651,612 . The biggest common factor number is the GCF number.
So the greatest common factor 651,612 is 3.
Lets's calculate LCM of 21,460
Given numbers has no common factors except 1. So, there LCM is their product i.e 9660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/9660
Therefore, the GCF of Fractions 651/21,612/460 is 3/9660
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 21,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,460) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,460) x common factors =1 x 1 = 1
LCM(21,460) = ( 21 × 460 ) / 1
LCM(21,460) = 9660 / 1
LCM(21,460) = 9660
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 651/21, 612/460?
Answer: GCF of Numerators as per given numbers 651/21, 612/460 is
GCF of Numerators i.e. for 651,612 is 3
LCM of denominators i.e. for 21,460 is 9660.
Thus, GCF of Fractions is 3/9660.Finally, GCF of Fractions for 651/21, 612/460 is 3/9660.