Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1358/19,8107/277
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 1358,8107
Greatest Common Factor of Numerators i.e. GCF of 1358,8107 is 1 .
LCM of Denominators means LCM of 19,277 as per the given fractions.
LCM of 19,277 is 5263 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1358,8107
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1358
List of positive integer factors of 1358 that divides 1358 without a remainder.
1,2,7,14,97,194,679,1358
Factors of 8107
List of positive integer factors of 8107 that divides 8107 without a remainder.
1,11,67,121,737,8107
Greatest Common Factor
We found the factors 1358,8107 . The biggest common factor number is the GCF number.
So the greatest common factor 1358,8107 is 1.
Lets's calculate LCM of 19,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 5263
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5263
Therefore, the GCF of Fractions 1358/19,8107/277 is 1/5263
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 19,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,277) x common factors =1 x 1 = 1
LCM(19,277) = ( 19 × 277 ) / 1
LCM(19,277) = 5263 / 1
LCM(19,277) = 5263
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 1358/19, 8107/277?
Answer: GCF of Numerators as per given numbers 1358/19, 8107/277 is
GCF of Numerators i.e. for 1358,8107 is 1
LCM of denominators i.e. for 19,277 is 5263.
Thus, GCF of Fractions is 1/5263.Finally, GCF of Fractions for 1358/19, 8107/277 is 1/5263.