Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1387/99,6427/358
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 1387,6427
Greatest Common Factor of Numerators i.e. GCF of 1387,6427 is 1 .
LCM of Denominators means LCM of 99,358 as per the given fractions.
LCM of 99,358 is 35442 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1387,6427
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1387
List of positive integer factors of 1387 that divides 1387 without a remainder.
1,19,73,1387
Factors of 6427
List of positive integer factors of 6427 that divides 6427 without a remainder.
1,6427
Greatest Common Factor
We found the factors 1387,6427 . The biggest common factor number is the GCF number.
So the greatest common factor 1387,6427 is 1.
Lets's calculate LCM of 99,358
Given numbers has no common factors except 1. So, there LCM is their product i.e 35442
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35442
Therefore, the GCF of Fractions 1387/99,6427/358 is 1/35442
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 99,358 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(99,358) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(99,358) x common factors =1 x 1 = 1
LCM(99,358) = ( 99 × 358 ) / 1
LCM(99,358) = 35442 / 1
LCM(99,358) = 35442
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 1387/99, 6427/358?
Answer: GCF of Numerators as per given numbers 1387/99, 6427/358 is
GCF of Numerators i.e. for 1387,6427 is 1
LCM of denominators i.e. for 99,358 is 35442.
Thus, GCF of Fractions is 1/35442.Finally, GCF of Fractions for 1387/99, 6427/358 is 1/35442.