Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3408/901,5527/508
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 3408,5527
Greatest Common Factor of Numerators i.e. GCF of 3408,5527 is 1 .
LCM of Denominators means LCM of 901,508 as per the given fractions.
LCM of 901,508 is 457708 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3408,5527
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3408
List of positive integer factors of 3408 that divides 3408 without a remainder.
1,2,3,4,6,8,12,16,24,48,71,142,213,284,426,568,852,1136,1704,3408
Factors of 5527
List of positive integer factors of 5527 that divides 5527 without a remainder.
1,5527
Greatest Common Factor
We found the factors 3408,5527 . The biggest common factor number is the GCF number.
So the greatest common factor 3408,5527 is 1.
Lets's calculate LCM of 901,508
Given numbers has no common factors except 1. So, there LCM is their product i.e 457708
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/457708
Therefore, the GCF of Fractions 3408/901,5527/508 is 1/457708
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 901,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,508) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,508) x common factors =1 x 1 = 1
LCM(901,508) = ( 901 × 508 ) / 1
LCM(901,508) = 457708 / 1
LCM(901,508) = 457708
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 3408/901, 5527/508?
Answer: GCF of Numerators as per given numbers 3408/901, 5527/508 is
GCF of Numerators i.e. for 3408,5527 is 1
LCM of denominators i.e. for 901,508 is 457708.
Thus, GCF of Fractions is 1/457708.Finally, GCF of Fractions for 3408/901, 5527/508 is 1/457708.