Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 509/74,1804/842
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 509,1804
Greatest Common Factor of Numerators i.e. GCF of 509,1804 is 1 .
LCM of Denominators means LCM of 74,842 as per the given fractions.
LCM of 74,842 is 31154 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 509,1804
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 1804
List of positive integer factors of 1804 that divides 1804 without a remainder.
1,2,4,11,22,41,44,82,164,451,902,1804
Greatest Common Factor
We found the factors 509,1804 . The biggest common factor number is the GCF number.
So the greatest common factor 509,1804 is 1.
Lets's calculate LCM of 74,842
2 | 74, 842 |
37, 421 |
∴ So the LCM of the given numbers is 2 x 37 x 421 = 31154
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31154
Therefore, the GCF of Fractions 509/74,1804/842 is 1/31154
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 74,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,842) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(74,842) x common factors =2 x 1 = 2
LCM(74,842) = ( 74 × 842 ) / 2
LCM(74,842) = 62308 / 2
LCM(74,842) = 31154
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 509/74, 1804/842?
Answer: GCF of Numerators as per given numbers 509/74, 1804/842 is
GCF of Numerators i.e. for 509,1804 is 1
LCM of denominators i.e. for 74,842 is 31154.
Thus, GCF of Fractions is 1/31154.Finally, GCF of Fractions for 509/74, 1804/842 is 1/31154.