Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1644/691,8859/8232
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 1644,8859
Greatest Common Factor of Numerators i.e. GCF of 1644,8859 is 3 .
LCM of Denominators means LCM of 691,8232 as per the given fractions.
LCM of 691,8232 is 5688312 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1644,8859
3 | 1644, 8859 |
548, 2953 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1644
List of positive integer factors of 1644 that divides 1644 without a remainder.
1,2,3,4,6,12,137,274,411,548,822,1644
Factors of 8859
List of positive integer factors of 8859 that divides 8859 without a remainder.
1,3,2953,8859
Greatest Common Factor
We found the factors 1644,8859 . The biggest common factor number is the GCF number.
So the greatest common factor 1644,8859 is 3.
Lets's calculate LCM of 691,8232
Given numbers has no common factors except 1. So, there LCM is their product i.e 5688312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5688312
Therefore, the GCF of Fractions 1644/691,8859/8232 is 3/5688312
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 691,8232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(691,8232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(691,8232) x common factors =1 x 1 = 1
LCM(691,8232) = ( 691 × 8232 ) / 1
LCM(691,8232) = 5688312 / 1
LCM(691,8232) = 5688312
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 1644/691, 8859/8232?
Answer: GCF of Numerators as per given numbers 1644/691, 8859/8232 is
GCF of Numerators i.e. for 1644,8859 is 3
LCM of denominators i.e. for 691,8232 is 5688312.
Thus, GCF of Fractions is 3/5688312.Finally, GCF of Fractions for 1644/691, 8859/8232 is 3/5688312.