Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8856/856,6711/8325
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 8856,6711
Greatest Common Factor of Numerators i.e. GCF of 8856,6711 is 3 .
LCM of Denominators means LCM of 856,8325 as per the given fractions.
LCM of 856,8325 is 7126200 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8856,6711
3 | 8856, 6711 |
2952, 2237 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 8856
List of positive integer factors of 8856 that divides 8856 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,41,54,72,82,108,123,164,216,246,328,369,492,738,984,1107,1476,2214,2952,4428,8856
Factors of 6711
List of positive integer factors of 6711 that divides 6711 without a remainder.
1,3,2237,6711
Greatest Common Factor
We found the factors 8856,6711 . The biggest common factor number is the GCF number.
So the greatest common factor 8856,6711 is 3.
Lets's calculate LCM of 856,8325
Given numbers has no common factors except 1. So, there LCM is their product i.e 7126200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/7126200
Therefore, the GCF of Fractions 8856/856,6711/8325 is 3/7126200
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 856,8325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,8325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,8325) x common factors =1 x 1 = 1
LCM(856,8325) = ( 856 × 8325 ) / 1
LCM(856,8325) = 7126200 / 1
LCM(856,8325) = 7126200
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 8856/856, 6711/8325?
Answer: GCF of Numerators as per given numbers 8856/856, 6711/8325 is
GCF of Numerators i.e. for 8856,6711 is 3
LCM of denominators i.e. for 856,8325 is 7126200.
Thus, GCF of Fractions is 3/7126200.Finally, GCF of Fractions for 8856/856, 6711/8325 is 3/7126200.