Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8721/674,1015/6705
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 8721,1015
Greatest Common Factor of Numerators i.e. GCF of 8721,1015 is 1 .
LCM of Denominators means LCM of 674,6705 as per the given fractions.
LCM of 674,6705 is 4519170 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8721,1015
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8721
List of positive integer factors of 8721 that divides 8721 without a remainder.
1,3,9,17,19,27,51,57,153,171,323,459,513,969,2907,8721
Factors of 1015
List of positive integer factors of 1015 that divides 1015 without a remainder.
1,5,7,29,35,145,203,1015
Greatest Common Factor
We found the factors 8721,1015 . The biggest common factor number is the GCF number.
So the greatest common factor 8721,1015 is 1.
Lets's calculate LCM of 674,6705
Given numbers has no common factors except 1. So, there LCM is their product i.e 4519170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4519170
Therefore, the GCF of Fractions 8721/674,1015/6705 is 1/4519170
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 674,6705 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(674,6705) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(674,6705) x common factors =1 x 1 = 1
LCM(674,6705) = ( 674 × 6705 ) / 1
LCM(674,6705) = 4519170 / 1
LCM(674,6705) = 4519170
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 8721/674, 1015/6705?
Answer: GCF of Numerators as per given numbers 8721/674, 1015/6705 is
GCF of Numerators i.e. for 8721,1015 is 1
LCM of denominators i.e. for 674,6705 is 4519170.
Thus, GCF of Fractions is 1/4519170.Finally, GCF of Fractions for 8721/674, 1015/6705 is 1/4519170.