Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9574/279,8760/8058
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 9574,8760
Greatest Common Factor of Numerators i.e. GCF of 9574,8760 is 2 .
LCM of Denominators means LCM of 279,8058 as per the given fractions.
LCM of 279,8058 is 749394 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9574,8760
2 | 9574, 8760 |
4787, 4380 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 9574
List of positive integer factors of 9574 that divides 9574 without a remainder.
1,2,4787,9574
Factors of 8760
List of positive integer factors of 8760 that divides 8760 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 9574,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 9574,8760 is 2.
Lets's calculate LCM of 279,8058
3 | 279, 8058 |
93, 2686 |
∴ So the LCM of the given numbers is 3 x 93 x 2686 = 749394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/749394
Therefore, the GCF of Fractions 9574/279,8760/8058 is 2/749394
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 279,8058 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(279,8058) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(279,8058) x common factors =3 x 1 = 3
LCM(279,8058) = ( 279 × 8058 ) / 3
LCM(279,8058) = 2248182 / 3
LCM(279,8058) = 749394
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 9574/279, 8760/8058?
Answer: GCF of Numerators as per given numbers 9574/279, 8760/8058 is
GCF of Numerators i.e. for 9574,8760 is 2
LCM of denominators i.e. for 279,8058 is 749394.
Thus, GCF of Fractions is 2/749394.Finally, GCF of Fractions for 9574/279, 8760/8058 is 2/749394.