Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2164/71,7042/557
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 2164,7042
Greatest Common Factor of Numerators i.e. GCF of 2164,7042 is 2 .
LCM of Denominators means LCM of 71,557 as per the given fractions.
LCM of 71,557 is 39547 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2164,7042
2 | 2164, 7042 |
1082, 3521 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 2164
List of positive integer factors of 2164 that divides 2164 without a remainder.
1,2,4,541,1082,2164
Factors of 7042
List of positive integer factors of 7042 that divides 7042 without a remainder.
1,2,7,14,503,1006,3521,7042
Greatest Common Factor
We found the factors 2164,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 2164,7042 is 2.
Lets's calculate LCM of 71,557
Given numbers has no common factors except 1. So, there LCM is their product i.e 39547
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/39547
Therefore, the GCF of Fractions 2164/71,7042/557 is 2/39547
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 71,557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(71,557) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(71,557) x common factors =1 x 1 = 1
LCM(71,557) = ( 71 × 557 ) / 1
LCM(71,557) = 39547 / 1
LCM(71,557) = 39547
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 2164/71, 7042/557?
Answer: GCF of Numerators as per given numbers 2164/71, 7042/557 is
GCF of Numerators i.e. for 2164,7042 is 2
LCM of denominators i.e. for 71,557 is 39547.
Thus, GCF of Fractions is 2/39547.Finally, GCF of Fractions for 2164/71, 7042/557 is 2/39547.