Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 716/681,8055/587
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 716,8055
Greatest Common Factor of Numerators i.e. GCF of 716,8055 is 179 .
LCM of Denominators means LCM of 681,587 as per the given fractions.
LCM of 681,587 is 399747 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 716,8055
179 | 716, 8055 |
4, 45 |
∴ So the GCF of the given numbers is 179 = 179
Factors of 716
List of positive integer factors of 716 that divides 716 without a remainder.
1,2,4,179,358,716
Factors of 8055
List of positive integer factors of 8055 that divides 8055 without a remainder.
1,3,5,9,15,45,179,537,895,1611,2685,8055
Greatest Common Factor
We found the factors 716,8055 . The biggest common factor number is the GCF number.
So the greatest common factor 716,8055 is 179.
Lets's calculate LCM of 681,587
Given numbers has no common factors except 1. So, there LCM is their product i.e 399747
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 179/399747
Therefore, the GCF of Fractions 716/681,8055/587 is 179/399747
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 681,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(681,587) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(681,587) x common factors =1 x 1 = 1
LCM(681,587) = ( 681 × 587 ) / 1
LCM(681,587) = 399747 / 1
LCM(681,587) = 399747
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 716/681, 8055/587?
Answer: GCF of Numerators as per given numbers 716/681, 8055/587 is
GCF of Numerators i.e. for 716,8055 is 179
LCM of denominators i.e. for 681,587 is 399747.
Thus, GCF of Fractions is 179/399747.Finally, GCF of Fractions for 716/681, 8055/587 is 179/399747.