Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2046/895,4865/5479
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 2046,4865
Greatest Common Factor of Numerators i.e. GCF of 2046,4865 is 1 .
LCM of Denominators means LCM of 895,5479 as per the given fractions.
LCM of 895,5479 is 4903705 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2046,4865
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 2046
List of positive integer factors of 2046 that divides 2046 without a remainder.
1,2,3,6,11,22,31,33,62,66,93,186,341,682,1023,2046
Factors of 4865
List of positive integer factors of 4865 that divides 4865 without a remainder.
1,5,7,35,139,695,973,4865
Greatest Common Factor
We found the factors 2046,4865 . The biggest common factor number is the GCF number.
So the greatest common factor 2046,4865 is 1.
Lets's calculate LCM of 895,5479
Given numbers has no common factors except 1. So, there LCM is their product i.e 4903705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4903705
Therefore, the GCF of Fractions 2046/895,4865/5479 is 1/4903705
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 895,5479 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,5479) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,5479) x common factors =1 x 1 = 1
LCM(895,5479) = ( 895 × 5479 ) / 1
LCM(895,5479) = 4903705 / 1
LCM(895,5479) = 4903705
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 2046/895, 4865/5479?
Answer: GCF of Numerators as per given numbers 2046/895, 4865/5479 is
GCF of Numerators i.e. for 2046,4865 is 1
LCM of denominators i.e. for 895,5479 is 4903705.
Thus, GCF of Fractions is 1/4903705.Finally, GCF of Fractions for 2046/895, 4865/5479 is 1/4903705.