Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1436/973,9912/4739
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 1436,9912
Greatest Common Factor of Numerators i.e. GCF of 1436,9912 is 4 .
LCM of Denominators means LCM of 973,4739 as per the given fractions.
LCM of 973,4739 is 658721 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1436,9912
2 | 1436, 9912 |
2 | 718, 4956 |
359, 2478 |
∴ 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 9912
List of positive integer factors of 9912 that divides 9912 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,59,84,118,168,177,236,354,413,472,708,826,1239,1416,1652,2478,3304,4956,9912
Greatest Common Factor
We found the factors 1436,9912 . The biggest common factor number is the GCF number.
So the greatest common factor 1436,9912 is 4.
Lets's calculate LCM of 973,4739
7 | 973, 4739 |
139, 677 |
∴ So the LCM of the given numbers is 7 x 139 x 677 = 658721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/658721
Therefore, the GCF of Fractions 1436/973,9912/4739 is 4/658721
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 973,4739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,4739) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(973,4739) x common factors =7 x 1 = 7
LCM(973,4739) = ( 973 × 4739 ) / 7
LCM(973,4739) = 4611047 / 7
LCM(973,4739) = 658721
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 1436/973, 9912/4739?
Answer: GCF of Numerators as per given numbers 1436/973, 9912/4739 is
GCF of Numerators i.e. for 1436,9912 is 4
LCM of denominators i.e. for 973,4739 is 658721.
Thus, GCF of Fractions is 4/658721.Finally, GCF of Fractions for 1436/973, 9912/4739 is 4/658721.