Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 5330/647,7781/196
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 5330,7781
Greatest Common Factor of Numerators i.e. GCF of 5330,7781 is 1 .
LCM of Denominators means LCM of 647,196 as per the given fractions.
LCM of 647,196 is 126812 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 5330,7781
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 5330
List of positive integer factors of 5330 that divides 5330 without a remainder.
1,2,5,10,13,26,41,65,82,130,205,410,533,1066,2665,5330
Factors of 7781
List of positive integer factors of 7781 that divides 7781 without a remainder.
1,31,251,7781
Greatest Common Factor
We found the factors 5330,7781 . The biggest common factor number is the GCF number.
So the greatest common factor 5330,7781 is 1.
Lets's calculate LCM of 647,196
Given numbers has no common factors except 1. So, there LCM is their product i.e 126812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126812
Therefore, the GCF of Fractions 5330/647,7781/196 is 1/126812
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 647,196 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,196) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,196) x common factors =1 x 1 = 1
LCM(647,196) = ( 647 × 196 ) / 1
LCM(647,196) = 126812 / 1
LCM(647,196) = 126812
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 5330/647, 7781/196?
Answer: GCF of Numerators as per given numbers 5330/647, 7781/196 is
GCF of Numerators i.e. for 5330,7781 is 1
LCM of denominators i.e. for 647,196 is 126812.
Thus, GCF of Fractions is 1/126812.Finally, GCF of Fractions for 5330/647, 7781/196 is 1/126812.