Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3550/873,4254/6215
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 3550,4254
Greatest Common Factor of Numerators i.e. GCF of 3550,4254 is 2 .
LCM of Denominators means LCM of 873,6215 as per the given fractions.
LCM of 873,6215 is 5425695 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3550,4254
2 | 3550, 4254 |
1775, 2127 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 3550
List of positive integer factors of 3550 that divides 3550 without a remainder.
1,2,5,10,25,50,71,142,355,710,1775,3550
Factors of 4254
List of positive integer factors of 4254 that divides 4254 without a remainder.
1,2,3,6,709,1418,2127,4254
Greatest Common Factor
We found the factors 3550,4254 . The biggest common factor number is the GCF number.
So the greatest common factor 3550,4254 is 2.
Lets's calculate LCM of 873,6215
Given numbers has no common factors except 1. So, there LCM is their product i.e 5425695
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5425695
Therefore, the GCF of Fractions 3550/873,4254/6215 is 2/5425695
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 873,6215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,6215) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,6215) x common factors =1 x 1 = 1
LCM(873,6215) = ( 873 × 6215 ) / 1
LCM(873,6215) = 5425695 / 1
LCM(873,6215) = 5425695
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 3550/873, 4254/6215?
Answer: GCF of Numerators as per given numbers 3550/873, 4254/6215 is
GCF of Numerators i.e. for 3550,4254 is 2
LCM of denominators i.e. for 873,6215 is 5425695.
Thus, GCF of Fractions is 2/5425695.Finally, GCF of Fractions for 3550/873, 4254/6215 is 2/5425695.