Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6722/786,8781/281
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 6722,8781
Greatest Common Factor of Numerators i.e. GCF of 6722,8781 is 1 .
LCM of Denominators means LCM of 786,281 as per the given fractions.
LCM of 786,281 is 220866 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6722,8781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6722
List of positive integer factors of 6722 that divides 6722 without a remainder.
1,2,3361,6722
Factors of 8781
List of positive integer factors of 8781 that divides 8781 without a remainder.
1,3,2927,8781
Greatest Common Factor
We found the factors 6722,8781 . The biggest common factor number is the GCF number.
So the greatest common factor 6722,8781 is 1.
Lets's calculate LCM of 786,281
Given numbers has no common factors except 1. So, there LCM is their product i.e 220866
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220866
Therefore, the GCF of Fractions 6722/786,8781/281 is 1/220866
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 786,281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(786,281) x common factors =1 x 1 = 1
LCM(786,281) = ( 786 × 281 ) / 1
LCM(786,281) = 220866 / 1
LCM(786,281) = 220866
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 6722/786, 8781/281?
Answer: GCF of Numerators as per given numbers 6722/786, 8781/281 is
GCF of Numerators i.e. for 6722,8781 is 1
LCM of denominators i.e. for 786,281 is 220866.
Thus, GCF of Fractions is 1/220866.Finally, GCF of Fractions for 6722/786, 8781/281 is 1/220866.