Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 827/722,8756/860
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 827,8756
Greatest Common Factor of Numerators i.e. GCF of 827,8756 is 1 .
LCM of Denominators means LCM of 722,860 as per the given fractions.
LCM of 722,860 is 310460 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 827,8756
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 827
List of positive integer factors of 827 that divides 827 without a remainder.
1,827
Factors of 8756
List of positive integer factors of 8756 that divides 8756 without a remainder.
1,2,4,11,22,44,199,398,796,2189,4378,8756
Greatest Common Factor
We found the factors 827,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 827,8756 is 1.
Lets's calculate LCM of 722,860
2 | 722, 860 |
361, 430 |
∴ So the LCM of the given numbers is 2 x 361 x 430 = 310460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310460
Therefore, the GCF of Fractions 827/722,8756/860 is 1/310460
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 722,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,860) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,860) x common factors =2 x 1 = 2
LCM(722,860) = ( 722 × 860 ) / 2
LCM(722,860) = 620920 / 2
LCM(722,860) = 310460
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 827/722, 8756/860?
Answer: GCF of Numerators as per given numbers 827/722, 8756/860 is
GCF of Numerators i.e. for 827,8756 is 1
LCM of denominators i.e. for 722,860 is 310460.
Thus, GCF of Fractions is 1/310460.Finally, GCF of Fractions for 827/722, 8756/860 is 1/310460.