Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8876/612,6080/787
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 8876,6080
Greatest Common Factor of Numerators i.e. GCF of 8876,6080 is 4 .
LCM of Denominators means LCM of 612,787 as per the given fractions.
LCM of 612,787 is 481644 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8876,6080
2 | 8876, 6080 |
2 | 4438, 3040 |
2219, 1520 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 8876
List of positive integer factors of 8876 that divides 8876 without a remainder.
1,2,4,7,14,28,317,634,1268,2219,4438,8876
Factors of 6080
List of positive integer factors of 6080 that divides 6080 without a remainder.
1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Greatest Common Factor
We found the factors 8876,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 8876,6080 is 4.
Lets's calculate LCM of 612,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 481644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/481644
Therefore, the GCF of Fractions 8876/612,6080/787 is 4/481644
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 612,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(612,787) x common factors =1 x 1 = 1
LCM(612,787) = ( 612 × 787 ) / 1
LCM(612,787) = 481644 / 1
LCM(612,787) = 481644
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 8876/612, 6080/787?
Answer: GCF of Numerators as per given numbers 8876/612, 6080/787 is
GCF of Numerators i.e. for 8876,6080 is 4
LCM of denominators i.e. for 612,787 is 481644.
Thus, GCF of Fractions is 4/481644.Finally, GCF of Fractions for 8876/612, 6080/787 is 4/481644.