Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 867/95,552/4436
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 867,552
Greatest Common Factor of Numerators i.e. GCF of 867,552 is 3 .
LCM of Denominators means LCM of 95,4436 as per the given fractions.
LCM of 95,4436 is 421420 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 867,552
3 | 867, 552 |
289, 184 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Greatest Common Factor
We found the factors 867,552 . The biggest common factor number is the GCF number.
So the greatest common factor 867,552 is 3.
Lets's calculate LCM of 95,4436
Given numbers has no common factors except 1. So, there LCM is their product i.e 421420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/421420
Therefore, the GCF of Fractions 867/95,552/4436 is 3/421420
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 95,4436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,4436) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,4436) x common factors =1 x 1 = 1
LCM(95,4436) = ( 95 × 4436 ) / 1
LCM(95,4436) = 421420 / 1
LCM(95,4436) = 421420
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 867/95, 552/4436?
Answer: GCF of Numerators as per given numbers 867/95, 552/4436 is
GCF of Numerators i.e. for 867,552 is 3
LCM of denominators i.e. for 95,4436 is 421420.
Thus, GCF of Fractions is 3/421420.Finally, GCF of Fractions for 867/95, 552/4436 is 3/421420.