Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9674/507,5474/996
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 9674,5474
Greatest Common Factor of Numerators i.e. GCF of 9674,5474 is 14 .
LCM of Denominators means LCM of 507,996 as per the given fractions.
LCM of 507,996 is 168324 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9674,5474
2 | 9674, 5474 |
7 | 4837, 2737 |
691, 391 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Factors of 9674
List of positive integer factors of 9674 that divides 9674 without a remainder.
1,2,7,14,691,1382,4837,9674
Factors of 5474
List of positive integer factors of 5474 that divides 5474 without a remainder.
1,2,7,14,17,23,34,46,119,161,238,322,391,782,2737,5474
Greatest Common Factor
We found the factors 9674,5474 . The biggest common factor number is the GCF number.
So the greatest common factor 9674,5474 is 14.
Lets's calculate LCM of 507,996
3 | 507, 996 |
169, 332 |
∴ So the LCM of the given numbers is 3 x 169 x 332 = 168324
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/168324
Therefore, the GCF of Fractions 9674/507,5474/996 is 14/168324
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 507,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,996) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,996) x common factors =3 x 1 = 3
LCM(507,996) = ( 507 × 996 ) / 3
LCM(507,996) = 504972 / 3
LCM(507,996) = 168324
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 9674/507, 5474/996?
Answer: GCF of Numerators as per given numbers 9674/507, 5474/996 is
GCF of Numerators i.e. for 9674,5474 is 14
LCM of denominators i.e. for 507,996 is 168324.
Thus, GCF of Fractions is 14/168324.Finally, GCF of Fractions for 9674/507, 5474/996 is 14/168324.