Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4927/794,2676/3671
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 4927,2676
Greatest Common Factor of Numerators i.e. GCF of 4927,2676 is 1 .
LCM of Denominators means LCM of 794,3671 as per the given fractions.
LCM of 794,3671 is 2914774 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4927,2676
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4927
List of positive integer factors of 4927 that divides 4927 without a remainder.
1,13,379,4927
Factors of 2676
List of positive integer factors of 2676 that divides 2676 without a remainder.
1,2,3,4,6,12,223,446,669,892,1338,2676
Greatest Common Factor
We found the factors 4927,2676 . The biggest common factor number is the GCF number.
So the greatest common factor 4927,2676 is 1.
Lets's calculate LCM of 794,3671
Given numbers has no common factors except 1. So, there LCM is their product i.e 2914774
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2914774
Therefore, the GCF of Fractions 4927/794,2676/3671 is 1/2914774
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 794,3671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,3671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(794,3671) x common factors =1 x 1 = 1
LCM(794,3671) = ( 794 × 3671 ) / 1
LCM(794,3671) = 2914774 / 1
LCM(794,3671) = 2914774
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 4927/794, 2676/3671?
Answer: GCF of Numerators as per given numbers 4927/794, 2676/3671 is
GCF of Numerators i.e. for 4927,2676 is 1
LCM of denominators i.e. for 794,3671 is 2914774.
Thus, GCF of Fractions is 1/2914774.Finally, GCF of Fractions for 4927/794, 2676/3671 is 1/2914774.