Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3368/639,7557/344
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 3368,7557
Greatest Common Factor of Numerators i.e. GCF of 3368,7557 is 1 .
LCM of Denominators means LCM of 639,344 as per the given fractions.
LCM of 639,344 is 219816 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3368,7557
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3368
List of positive integer factors of 3368 that divides 3368 without a remainder.
1,2,4,8,421,842,1684,3368
Factors of 7557
List of positive integer factors of 7557 that divides 7557 without a remainder.
1,3,11,33,229,687,2519,7557
Greatest Common Factor
We found the factors 3368,7557 . The biggest common factor number is the GCF number.
So the greatest common factor 3368,7557 is 1.
Lets's calculate LCM of 639,344
Given numbers has no common factors except 1. So, there LCM is their product i.e 219816
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/219816
Therefore, the GCF of Fractions 3368/639,7557/344 is 1/219816
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 639,344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,344) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(639,344) x common factors =1 x 1 = 1
LCM(639,344) = ( 639 × 344 ) / 1
LCM(639,344) = 219816 / 1
LCM(639,344) = 219816
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 3368/639, 7557/344?
Answer: GCF of Numerators as per given numbers 3368/639, 7557/344 is
GCF of Numerators i.e. for 3368,7557 is 1
LCM of denominators i.e. for 639,344 is 219816.
Thus, GCF of Fractions is 1/219816.Finally, GCF of Fractions for 3368/639, 7557/344 is 1/219816.