Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6351/87,9011/510
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 6351,9011
Greatest Common Factor of Numerators i.e. GCF of 6351,9011 is 1 .
LCM of Denominators means LCM of 87,510 as per the given fractions.
LCM of 87,510 is 14790 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6351,9011
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6351
List of positive integer factors of 6351 that divides 6351 without a remainder.
1,3,29,73,87,219,2117,6351
Factors of 9011
List of positive integer factors of 9011 that divides 9011 without a remainder.
1,9011
Greatest Common Factor
We found the factors 6351,9011 . The biggest common factor number is the GCF number.
So the greatest common factor 6351,9011 is 1.
Lets's calculate LCM of 87,510
3 | 87, 510 |
29, 170 |
∴ So the LCM of the given numbers is 3 x 29 x 170 = 14790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14790
Therefore, the GCF of Fractions 6351/87,9011/510 is 1/14790
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 87,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,510) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,510) x common factors =3 x 1 = 3
LCM(87,510) = ( 87 × 510 ) / 3
LCM(87,510) = 44370 / 3
LCM(87,510) = 14790
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 6351/87, 9011/510?
Answer: GCF of Numerators as per given numbers 6351/87, 9011/510 is
GCF of Numerators i.e. for 6351,9011 is 1
LCM of denominators i.e. for 87,510 is 14790.
Thus, GCF of Fractions is 1/14790.Finally, GCF of Fractions for 6351/87, 9011/510 is 1/14790.