Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1501/78,4551/510
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 1501,4551
Greatest Common Factor of Numerators i.e. GCF of 1501,4551 is 1 .
LCM of Denominators means LCM of 78,510 as per the given fractions.
LCM of 78,510 is 6630 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1501,4551
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1501
List of positive integer factors of 1501 that divides 1501 without a remainder.
1,19,79,1501
Factors of 4551
List of positive integer factors of 4551 that divides 4551 without a remainder.
1,3,37,41,111,123,1517,4551
Greatest Common Factor
We found the factors 1501,4551 . The biggest common factor number is the GCF number.
So the greatest common factor 1501,4551 is 1.
Lets's calculate LCM of 78,510
2 | 78, 510 |
3 | 39, 255 |
13, 85 |
∴ So the LCM of the given numbers is 2 x 3 x 13 x 85 = 6630
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6630
Therefore, the GCF of Fractions 1501/78,4551/510 is 1/6630
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 78,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,510) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(78,510) x common factors =6 x 1 = 6
LCM(78,510) = ( 78 × 510 ) / 6
LCM(78,510) = 39780 / 6
LCM(78,510) = 6630
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 1501/78, 4551/510?
Answer: GCF of Numerators as per given numbers 1501/78, 4551/510 is
GCF of Numerators i.e. for 1501,4551 is 1
LCM of denominators i.e. for 78,510 is 6630.
Thus, GCF of Fractions is 1/6630.Finally, GCF of Fractions for 1501/78, 4551/510 is 1/6630.