Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8954/449,2475/271
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 8954,2475
Greatest Common Factor of Numerators i.e. GCF of 8954,2475 is 11 .
LCM of Denominators means LCM of 449,271 as per the given fractions.
LCM of 449,271 is 121679 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8954,2475
11 | 8954, 2475 |
814, 225 |
∴ So the GCF of the given numbers is 11 = 11
Factors of 8954
List of positive integer factors of 8954 that divides 8954 without a remainder.
1,2,11,22,37,74,121,242,407,814,4477,8954
Factors of 2475
List of positive integer factors of 2475 that divides 2475 without a remainder.
1,3,5,9,11,15,25,33,45,55,75,99,165,225,275,495,825,2475
Greatest Common Factor
We found the factors 8954,2475 . The biggest common factor number is the GCF number.
So the greatest common factor 8954,2475 is 11.
Lets's calculate LCM of 449,271
Given numbers has no common factors except 1. So, there LCM is their product i.e 121679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/121679
Therefore, the GCF of Fractions 8954/449,2475/271 is 11/121679
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 449,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(449,271) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(449,271) x common factors =1 x 1 = 1
LCM(449,271) = ( 449 × 271 ) / 1
LCM(449,271) = 121679 / 1
LCM(449,271) = 121679
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 8954/449, 2475/271?
Answer: GCF of Numerators as per given numbers 8954/449, 2475/271 is
GCF of Numerators i.e. for 8954,2475 is 11
LCM of denominators i.e. for 449,271 is 121679.
Thus, GCF of Fractions is 11/121679.Finally, GCF of Fractions for 8954/449, 2475/271 is 11/121679.