Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4454/963,1836/886
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 4454,1836
Greatest Common Factor of Numerators i.e. GCF of 4454,1836 is 34 .
LCM of Denominators means LCM of 963,886 as per the given fractions.
LCM of 963,886 is 853218 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4454,1836
2 | 4454, 1836 |
17 | 2227, 918 |
131, 54 |
∴ So the GCF of the given numbers is 2 x 17 = 34
Factors of 4454
List of positive integer factors of 4454 that divides 4454 without a remainder.
1,2,17,34,131,262,2227,4454
Factors of 1836
List of positive integer factors of 1836 that divides 1836 without a remainder.
1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 4454,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 4454,1836 is 34.
Lets's calculate LCM of 963,886
Given numbers has no common factors except 1. So, there LCM is their product i.e 853218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 34/853218
Therefore, the GCF of Fractions 4454/963,1836/886 is 34/853218
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 963,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,886) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(963,886) x common factors =1 x 1 = 1
LCM(963,886) = ( 963 × 886 ) / 1
LCM(963,886) = 853218 / 1
LCM(963,886) = 853218
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 4454/963, 1836/886?
Answer: GCF of Numerators as per given numbers 4454/963, 1836/886 is
GCF of Numerators i.e. for 4454,1836 is 34
LCM of denominators i.e. for 963,886 is 853218.
Thus, GCF of Fractions is 34/853218.Finally, GCF of Fractions for 4454/963, 1836/886 is 34/853218.