Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 683/62,134/229
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 683,134
Greatest Common Factor of Numerators i.e. GCF of 683,134 is 1 .
LCM of Denominators means LCM of 62,229 as per the given fractions.
LCM of 62,229 is 14198 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 683,134
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 683
List of positive integer factors of 683 that divides 683 without a remainder.
1,683
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Greatest Common Factor
We found the factors 683,134 . The biggest common factor number is the GCF number.
So the greatest common factor 683,134 is 1.
Lets's calculate LCM of 62,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 14198
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14198
Therefore, the GCF of Fractions 683/62,134/229 is 1/14198
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 62,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(62,229) x common factors =1 x 1 = 1
LCM(62,229) = ( 62 × 229 ) / 1
LCM(62,229) = 14198 / 1
LCM(62,229) = 14198
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 683/62, 134/229?
Answer: GCF of Numerators as per given numbers 683/62, 134/229 is
GCF of Numerators i.e. for 683,134 is 1
LCM of denominators i.e. for 62,229 is 14198.
Thus, GCF of Fractions is 1/14198.Finally, GCF of Fractions for 683/62, 134/229 is 1/14198.