Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 976/754,6405/406
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 976,6405
Greatest Common Factor of Numerators i.e. GCF of 976,6405 is 61 .
LCM of Denominators means LCM of 754,406 as per the given fractions.
LCM of 754,406 is 5278 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 976,6405
61 | 976, 6405 |
16, 105 |
∴ So the GCF of the given numbers is 61 = 61
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 6405
List of positive integer factors of 6405 that divides 6405 without a remainder.
1,3,5,7,15,21,35,61,105,183,305,427,915,1281,2135,6405
Greatest Common Factor
We found the factors 976,6405 . The biggest common factor number is the GCF number.
So the greatest common factor 976,6405 is 61.
Lets's calculate LCM of 754,406
2 | 754, 406 |
29 | 377, 203 |
13, 7 |
∴ So the LCM of the given numbers is 2 x 29 x 13 x 7 = 5278
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 61/5278
Therefore, the GCF of Fractions 976/754,6405/406 is 61/5278
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 754,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,406) = 58
common factors(in case of two or more numbers have common factors) = 1
GCF(754,406) x common factors =58 x 1 = 58
LCM(754,406) = ( 754 × 406 ) / 58
LCM(754,406) = 306124 / 58
LCM(754,406) = 5278
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 976/754, 6405/406?
Answer: GCF of Numerators as per given numbers 976/754, 6405/406 is
GCF of Numerators i.e. for 976,6405 is 61
LCM of denominators i.e. for 754,406 is 5278.
Thus, GCF of Fractions is 61/5278.Finally, GCF of Fractions for 976/754, 6405/406 is 61/5278.