Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1436/881,2168/6543
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 1436,2168
Greatest Common Factor of Numerators i.e. GCF of 1436,2168 is 4 .
LCM of Denominators means LCM of 881,6543 as per the given fractions.
LCM of 881,6543 is 5764383 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1436,2168
2 | 1436, 2168 |
2 | 718, 1084 |
359, 542 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1436
List of positive integer factors of 1436 that divides 1436 without a remainder.
1,2,4,359,718,1436
Factors of 2168
List of positive integer factors of 2168 that divides 2168 without a remainder.
1,2,4,8,271,542,1084,2168
Greatest Common Factor
We found the factors 1436,2168 . The biggest common factor number is the GCF number.
So the greatest common factor 1436,2168 is 4.
Lets's calculate LCM of 881,6543
Given numbers has no common factors except 1. So, there LCM is their product i.e 5764383
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5764383
Therefore, the GCF of Fractions 1436/881,2168/6543 is 4/5764383
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 881,6543 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(881,6543) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(881,6543) x common factors =1 x 1 = 1
LCM(881,6543) = ( 881 × 6543 ) / 1
LCM(881,6543) = 5764383 / 1
LCM(881,6543) = 5764383
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 1436/881, 2168/6543?
Answer: GCF of Numerators as per given numbers 1436/881, 2168/6543 is
GCF of Numerators i.e. for 1436,2168 is 4
LCM of denominators i.e. for 881,6543 is 5764383.
Thus, GCF of Fractions is 4/5764383.Finally, GCF of Fractions for 1436/881, 2168/6543 is 4/5764383.