Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 510/23,714/8857
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 510,714
Greatest Common Factor of Numerators i.e. GCF of 510,714 is 102 .
LCM of Denominators means LCM of 23,8857 as per the given fractions.
LCM of 23,8857 is 203711 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 510,714
2 | 510, 714 |
3 | 255, 357 |
17 | 85, 119 |
5, 7 |
∴ So the GCF of the given numbers is 2 x 3 x 17 = 102
Factors of 510
List of positive integer factors of 510 that divides 510 without a remainder.
1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 510,714 . The biggest common factor number is the GCF number.
So the greatest common factor 510,714 is 102.
Lets's calculate LCM of 23,8857
Given numbers has no common factors except 1. So, there LCM is their product i.e 203711
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 102/203711
Therefore, the GCF of Fractions 510/23,714/8857 is 102/203711
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 23,8857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,8857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,8857) x common factors =1 x 1 = 1
LCM(23,8857) = ( 23 × 8857 ) / 1
LCM(23,8857) = 203711 / 1
LCM(23,8857) = 203711
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 510/23, 714/8857?
Answer: GCF of Numerators as per given numbers 510/23, 714/8857 is
GCF of Numerators i.e. for 510,714 is 102
LCM of denominators i.e. for 23,8857 is 203711.
Thus, GCF of Fractions is 102/203711.Finally, GCF of Fractions for 510/23, 714/8857 is 102/203711.