Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6103/134,3452/5597
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 6103,3452
Greatest Common Factor of Numerators i.e. GCF of 6103,3452 is 1 .
LCM of Denominators means LCM of 134,5597 as per the given fractions.
LCM of 134,5597 is 749998 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6103,3452
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6103
List of positive integer factors of 6103 that divides 6103 without a remainder.
1,17,359,6103
Factors of 3452
List of positive integer factors of 3452 that divides 3452 without a remainder.
1,2,4,863,1726,3452
Greatest Common Factor
We found the factors 6103,3452 . The biggest common factor number is the GCF number.
So the greatest common factor 6103,3452 is 1.
Lets's calculate LCM of 134,5597
Given numbers has no common factors except 1. So, there LCM is their product i.e 749998
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/749998
Therefore, the GCF of Fractions 6103/134,3452/5597 is 1/749998
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 134,5597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(134,5597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(134,5597) x common factors =1 x 1 = 1
LCM(134,5597) = ( 134 × 5597 ) / 1
LCM(134,5597) = 749998 / 1
LCM(134,5597) = 749998
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 6103/134, 3452/5597?
Answer: GCF of Numerators as per given numbers 6103/134, 3452/5597 is
GCF of Numerators i.e. for 6103,3452 is 1
LCM of denominators i.e. for 134,5597 is 749998.
Thus, GCF of Fractions is 1/749998.Finally, GCF of Fractions for 6103/134, 3452/5597 is 1/749998.