Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3551/65,1835/326
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 3551,1835
Greatest Common Factor of Numerators i.e. GCF of 3551,1835 is 1 .
LCM of Denominators means LCM of 65,326 as per the given fractions.
LCM of 65,326 is 21190 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 3551,1835
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 3551
List of positive integer factors of 3551 that divides 3551 without a remainder.
1,53,67,3551
Factors of 1835
List of positive integer factors of 1835 that divides 1835 without a remainder.
1,5,367,1835
Greatest Common Factor
We found the factors 3551,1835 . The biggest common factor number is the GCF number.
So the greatest common factor 3551,1835 is 1.
Lets's calculate LCM of 65,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 21190
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21190
Therefore, the GCF of Fractions 3551/65,1835/326 is 1/21190
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 65,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(65,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(65,326) x common factors =1 x 1 = 1
LCM(65,326) = ( 65 × 326 ) / 1
LCM(65,326) = 21190 / 1
LCM(65,326) = 21190
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 3551/65, 1835/326?
Answer: GCF of Numerators as per given numbers 3551/65, 1835/326 is
GCF of Numerators i.e. for 3551,1835 is 1
LCM of denominators i.e. for 65,326 is 21190.
Thus, GCF of Fractions is 1/21190.Finally, GCF of Fractions for 3551/65, 1835/326 is 1/21190.