Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7530/858,4491/827
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 7530,4491
Greatest Common Factor of Numerators i.e. GCF of 7530,4491 is 3 .
LCM of Denominators means LCM of 858,827 as per the given fractions.
LCM of 858,827 is 709566 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7530,4491
3 | 7530, 4491 |
2510, 1497 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7530
List of positive integer factors of 7530 that divides 7530 without a remainder.
1,2,3,5,6,10,15,30,251,502,753,1255,1506,2510,3765,7530
Factors of 4491
List of positive integer factors of 4491 that divides 4491 without a remainder.
1,3,9,499,1497,4491
Greatest Common Factor
We found the factors 7530,4491 . The biggest common factor number is the GCF number.
So the greatest common factor 7530,4491 is 3.
Lets's calculate LCM of 858,827
Given numbers has no common factors except 1. So, there LCM is their product i.e 709566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/709566
Therefore, the GCF of Fractions 7530/858,4491/827 is 3/709566
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 858,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,827) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(858,827) x common factors =1 x 1 = 1
LCM(858,827) = ( 858 × 827 ) / 1
LCM(858,827) = 709566 / 1
LCM(858,827) = 709566
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 7530/858, 4491/827?
Answer: GCF of Numerators as per given numbers 7530/858, 4491/827 is
GCF of Numerators i.e. for 7530,4491 is 3
LCM of denominators i.e. for 858,827 is 709566.
Thus, GCF of Fractions is 3/709566.Finally, GCF of Fractions for 7530/858, 4491/827 is 3/709566.