Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6247/899,2292/824
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 6247,2292
Greatest Common Factor of Numerators i.e. GCF of 6247,2292 is 1 .
LCM of Denominators means LCM of 899,824 as per the given fractions.
LCM of 899,824 is 740776 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6247,2292
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6247
List of positive integer factors of 6247 that divides 6247 without a remainder.
1,6247
Factors of 2292
List of positive integer factors of 2292 that divides 2292 without a remainder.
1,2,3,4,6,12,191,382,573,764,1146,2292
Greatest Common Factor
We found the factors 6247,2292 . The biggest common factor number is the GCF number.
So the greatest common factor 6247,2292 is 1.
Lets's calculate LCM of 899,824
Given numbers has no common factors except 1. So, there LCM is their product i.e 740776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/740776
Therefore, the GCF of Fractions 6247/899,2292/824 is 1/740776
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 899,824 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,824) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,824) x common factors =1 x 1 = 1
LCM(899,824) = ( 899 × 824 ) / 1
LCM(899,824) = 740776 / 1
LCM(899,824) = 740776
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 6247/899, 2292/824?
Answer: GCF of Numerators as per given numbers 6247/899, 2292/824 is
GCF of Numerators i.e. for 6247,2292 is 1
LCM of denominators i.e. for 899,824 is 740776.
Thus, GCF of Fractions is 1/740776.Finally, GCF of Fractions for 6247/899, 2292/824 is 1/740776.