Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2851/926,6576/223
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 2851,6576
Greatest Common Factor of Numerators i.e. GCF of 2851,6576 is 1 .
LCM of Denominators means LCM of 926,223 as per the given fractions.
LCM of 926,223 is 206498 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2851,6576
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2851
List of positive integer factors of 2851 that divides 2851 without a remainder.
1,2851
Factors of 6576
List of positive integer factors of 6576 that divides 6576 without a remainder.
1,2,3,4,6,8,12,16,24,48,137,274,411,548,822,1096,1644,2192,3288,6576
Greatest Common Factor
We found the factors 2851,6576 . The biggest common factor number is the GCF number.
So the greatest common factor 2851,6576 is 1.
Lets's calculate LCM of 926,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 206498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206498
Therefore, the GCF of Fractions 2851/926,6576/223 is 1/206498
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 926,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(926,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(926,223) x common factors =1 x 1 = 1
LCM(926,223) = ( 926 × 223 ) / 1
LCM(926,223) = 206498 / 1
LCM(926,223) = 206498
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 2851/926, 6576/223?
Answer: GCF of Numerators as per given numbers 2851/926, 6576/223 is
GCF of Numerators i.e. for 2851,6576 is 1
LCM of denominators i.e. for 926,223 is 206498.
Thus, GCF of Fractions is 1/206498.Finally, GCF of Fractions for 2851/926, 6576/223 is 1/206498.