Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 4425/529,7183/934
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 4425,7183
Greatest Common Factor of Numerators i.e. GCF of 4425,7183 is 1 .
LCM of Denominators means LCM of 529,934 as per the given fractions.
LCM of 529,934 is 494086 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 4425,7183
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 4425
List of positive integer factors of 4425 that divides 4425 without a remainder.
1,3,5,15,25,59,75,177,295,885,1475,4425
Factors of 7183
List of positive integer factors of 7183 that divides 7183 without a remainder.
1,11,653,7183
Greatest Common Factor
We found the factors 4425,7183 . The biggest common factor number is the GCF number.
So the greatest common factor 4425,7183 is 1.
Lets's calculate LCM of 529,934
Given numbers has no common factors except 1. So, there LCM is their product i.e 494086
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/494086
Therefore, the GCF of Fractions 4425/529,7183/934 is 1/494086
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 529,934 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,934) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(529,934) x common factors =1 x 1 = 1
LCM(529,934) = ( 529 × 934 ) / 1
LCM(529,934) = 494086 / 1
LCM(529,934) = 494086
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 4425/529, 7183/934?
Answer: GCF of Numerators as per given numbers 4425/529, 7183/934 is
GCF of Numerators i.e. for 4425,7183 is 1
LCM of denominators i.e. for 529,934 is 494086.
Thus, GCF of Fractions is 1/494086.Finally, GCF of Fractions for 4425/529, 7183/934 is 1/494086.