Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1908/87,4624/993
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 1908,4624
Greatest Common Factor of Numerators i.e. GCF of 1908,4624 is 4 .
LCM of Denominators means LCM of 87,993 as per the given fractions.
LCM of 87,993 is 28797 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1908,4624
2 | 1908, 4624 |
2 | 954, 2312 |
477, 1156 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 1908
List of positive integer factors of 1908 that divides 1908 without a remainder.
1,2,3,4,6,9,12,18,36,53,106,159,212,318,477,636,954,1908
Factors of 4624
List of positive integer factors of 4624 that divides 4624 without a remainder.
1,2,4,8,16,17,34,68,136,272,289,578,1156,2312,4624
Greatest Common Factor
We found the factors 1908,4624 . The biggest common factor number is the GCF number.
So the greatest common factor 1908,4624 is 4.
Lets's calculate LCM of 87,993
3 | 87, 993 |
29, 331 |
∴ So the LCM of the given numbers is 3 x 29 x 331 = 28797
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/28797
Therefore, the GCF of Fractions 1908/87,4624/993 is 4/28797
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 87,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,993) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(87,993) x common factors =3 x 1 = 3
LCM(87,993) = ( 87 × 993 ) / 3
LCM(87,993) = 86391 / 3
LCM(87,993) = 28797
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 1908/87, 4624/993?
Answer: GCF of Numerators as per given numbers 1908/87, 4624/993 is
GCF of Numerators i.e. for 1908,4624 is 4
LCM of denominators i.e. for 87,993 is 28797.
Thus, GCF of Fractions is 4/28797.Finally, GCF of Fractions for 1908/87, 4624/993 is 4/28797.