Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 829/28,411/3071
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 829,411
Greatest Common Factor of Numerators i.e. GCF of 829,411 is 1 .
LCM of Denominators means LCM of 28,3071 as per the given fractions.
LCM of 28,3071 is 85988 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 829,411
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 829
List of positive integer factors of 829 that divides 829 without a remainder.
1,829
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 829,411 . The biggest common factor number is the GCF number.
So the greatest common factor 829,411 is 1.
Lets's calculate LCM of 28,3071
Given numbers has no common factors except 1. So, there LCM is their product i.e 85988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85988
Therefore, the GCF of Fractions 829/28,411/3071 is 1/85988
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 28,3071 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,3071) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,3071) x common factors =1 x 1 = 1
LCM(28,3071) = ( 28 × 3071 ) / 1
LCM(28,3071) = 85988 / 1
LCM(28,3071) = 85988
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 829/28, 411/3071?
Answer: GCF of Numerators as per given numbers 829/28, 411/3071 is
GCF of Numerators i.e. for 829,411 is 1
LCM of denominators i.e. for 28,3071 is 85988.
Thus, GCF of Fractions is 1/85988.Finally, GCF of Fractions for 829/28, 411/3071 is 1/85988.