Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 2924/95,1740/969
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 2924,1740
Greatest Common Factor of Numerators i.e. GCF of 2924,1740 is 4 .
LCM of Denominators means LCM of 95,969 as per the given fractions.
LCM of 95,969 is 4845 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 2924,1740
2 | 2924, 1740 |
2 | 1462, 870 |
731, 435 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 2924
List of positive integer factors of 2924 that divides 2924 without a remainder.
1,2,4,17,34,43,68,86,172,731,1462,2924
Factors of 1740
List of positive integer factors of 1740 that divides 1740 without a remainder.
1,2,3,4,5,6,10,12,15,20,29,30,58,60,87,116,145,174,290,348,435,580,870,1740
Greatest Common Factor
We found the factors 2924,1740 . The biggest common factor number is the GCF number.
So the greatest common factor 2924,1740 is 4.
Lets's calculate LCM of 95,969
19 | 95, 969 |
5, 51 |
∴ So the LCM of the given numbers is 19 x 5 x 51 = 4845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/4845
Therefore, the GCF of Fractions 2924/95,1740/969 is 4/4845
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 95,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,969) = 19
common factors(in case of two or more numbers have common factors) = 1
GCF(95,969) x common factors =19 x 1 = 19
LCM(95,969) = ( 95 × 969 ) / 19
LCM(95,969) = 92055 / 19
LCM(95,969) = 4845
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 2924/95, 1740/969?
Answer: GCF of Numerators as per given numbers 2924/95, 1740/969 is
GCF of Numerators i.e. for 2924,1740 is 4
LCM of denominators i.e. for 95,969 is 4845.
Thus, GCF of Fractions is 4/4845.Finally, GCF of Fractions for 2924/95, 1740/969 is 4/4845.