Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6252/448,9164/1943
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 6252,9164
Greatest Common Factor of Numerators i.e. GCF of 6252,9164 is 4 .
LCM of Denominators means LCM of 448,1943 as per the given fractions.
LCM of 448,1943 is 870464 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6252,9164
2 | 6252, 9164 |
2 | 3126, 4582 |
1563, 2291 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 6252
List of positive integer factors of 6252 that divides 6252 without a remainder.
1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Factors of 9164
List of positive integer factors of 9164 that divides 9164 without a remainder.
1,2,4,29,58,79,116,158,316,2291,4582,9164
Greatest Common Factor
We found the factors 6252,9164 . The biggest common factor number is the GCF number.
So the greatest common factor 6252,9164 is 4.
Lets's calculate LCM of 448,1943
Given numbers has no common factors except 1. So, there LCM is their product i.e 870464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/870464
Therefore, the GCF of Fractions 6252/448,9164/1943 is 4/870464
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 448,1943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(448,1943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(448,1943) x common factors =1 x 1 = 1
LCM(448,1943) = ( 448 × 1943 ) / 1
LCM(448,1943) = 870464 / 1
LCM(448,1943) = 870464
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 6252/448, 9164/1943?
Answer: GCF of Numerators as per given numbers 6252/448, 9164/1943 is
GCF of Numerators i.e. for 6252,9164 is 4
LCM of denominators i.e. for 448,1943 is 870464.
Thus, GCF of Fractions is 4/870464.Finally, GCF of Fractions for 6252/448, 9164/1943 is 4/870464.