Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 807/491,3467/6004
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 807,3467
Greatest Common Factor of Numerators i.e. GCF of 807,3467 is 1 .
LCM of Denominators means LCM of 491,6004 as per the given fractions.
LCM of 491,6004 is 2947964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 807,3467
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 807
List of positive integer factors of 807 that divides 807 without a remainder.
1,3,269,807
Factors of 3467
List of positive integer factors of 3467 that divides 3467 without a remainder.
1,3467
Greatest Common Factor
We found the factors 807,3467 . The biggest common factor number is the GCF number.
So the greatest common factor 807,3467 is 1.
Lets's calculate LCM of 491,6004
Given numbers has no common factors except 1. So, there LCM is their product i.e 2947964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2947964
Therefore, the GCF of Fractions 807/491,3467/6004 is 1/2947964
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 491,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,6004) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,6004) x common factors =1 x 1 = 1
LCM(491,6004) = ( 491 × 6004 ) / 1
LCM(491,6004) = 2947964 / 1
LCM(491,6004) = 2947964
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 807/491, 3467/6004?
Answer: GCF of Numerators as per given numbers 807/491, 3467/6004 is
GCF of Numerators i.e. for 807,3467 is 1
LCM of denominators i.e. for 491,6004 is 2947964.
Thus, GCF of Fractions is 1/2947964.Finally, GCF of Fractions for 807/491, 3467/6004 is 1/2947964.