Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 520/8543,285/6971
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 520,285
Greatest Common Factor of Numerators i.e. GCF of 520,285 is 5 .
LCM of Denominators means LCM of 8543,6971 as per the given fractions.
LCM of 8543,6971 is 59553253 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 520,285
5 | 520, 285 |
104, 57 |
∴ So the GCF of the given numbers is 5 = 5
Factors of 520
List of positive integer factors of 520 that divides 520 without a remainder.
1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 520,285 . The biggest common factor number is the GCF number.
So the greatest common factor 520,285 is 5.
Lets's calculate LCM of 8543,6971
Given numbers has no common factors except 1. So, there LCM is their product i.e 59553253
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/59553253
Therefore, the GCF of Fractions 520/8543,285/6971 is 5/59553253
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 8543,6971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8543,6971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8543,6971) x common factors =1 x 1 = 1
LCM(8543,6971) = ( 8543 × 6971 ) / 1
LCM(8543,6971) = 59553253 / 1
LCM(8543,6971) = 59553253
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 520/8543, 285/6971?
Answer: GCF of Numerators as per given numbers 520/8543, 285/6971 is
GCF of Numerators i.e. for 520,285 is 5
LCM of denominators i.e. for 8543,6971 is 59553253.
Thus, GCF of Fractions is 5/59553253.Finally, GCF of Fractions for 520/8543, 285/6971 is 5/59553253.