Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6152/533,1147/783
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 6152,1147
Greatest Common Factor of Numerators i.e. GCF of 6152,1147 is 1 .
LCM of Denominators means LCM of 533,783 as per the given fractions.
LCM of 533,783 is 417339 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6152,1147
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6152
List of positive integer factors of 6152 that divides 6152 without a remainder.
1,2,4,8,769,1538,3076,6152
Factors of 1147
List of positive integer factors of 1147 that divides 1147 without a remainder.
1,31,37,1147
Greatest Common Factor
We found the factors 6152,1147 . The biggest common factor number is the GCF number.
So the greatest common factor 6152,1147 is 1.
Lets's calculate LCM of 533,783
Given numbers has no common factors except 1. So, there LCM is their product i.e 417339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/417339
Therefore, the GCF of Fractions 6152/533,1147/783 is 1/417339
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 533,783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(533,783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(533,783) x common factors =1 x 1 = 1
LCM(533,783) = ( 533 × 783 ) / 1
LCM(533,783) = 417339 / 1
LCM(533,783) = 417339
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 6152/533, 1147/783?
Answer: GCF of Numerators as per given numbers 6152/533, 1147/783 is
GCF of Numerators i.e. for 6152,1147 is 1
LCM of denominators i.e. for 533,783 is 417339.
Thus, GCF of Fractions is 1/417339.Finally, GCF of Fractions for 6152/533, 1147/783 is 1/417339.