Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5841/168,5277/862
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 5841,5277
Greatest Common Factor of Numerators i.e. GCF of 5841,5277 is 3 .
LCM of Denominators means LCM of 168,862 as per the given fractions.
LCM of 168,862 is 72408 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5841,5277
3 | 5841, 5277 |
1947, 1759 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 5841
List of positive integer factors of 5841 that divides 5841 without a remainder.
1,3,9,11,33,59,99,177,531,649,1947,5841
Factors of 5277
List of positive integer factors of 5277 that divides 5277 without a remainder.
1,3,1759,5277
Greatest Common Factor
We found the factors 5841,5277 . The biggest common factor number is the GCF number.
So the greatest common factor 5841,5277 is 3.
Lets's calculate LCM of 168,862
2 | 168, 862 |
84, 431 |
∴ So the LCM of the given numbers is 2 x 84 x 431 = 72408
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/72408
Therefore, the GCF of Fractions 5841/168,5277/862 is 3/72408
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 168,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,862) x common factors =2 x 1 = 2
LCM(168,862) = ( 168 × 862 ) / 2
LCM(168,862) = 144816 / 2
LCM(168,862) = 72408
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 5841/168, 5277/862?
Answer: GCF of Numerators as per given numbers 5841/168, 5277/862 is
GCF of Numerators i.e. for 5841,5277 is 3
LCM of denominators i.e. for 168,862 is 72408.
Thus, GCF of Fractions is 3/72408.Finally, GCF of Fractions for 5841/168, 5277/862 is 3/72408.