Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6611/351,6541/9751
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 6611,6541
Greatest Common Factor of Numerators i.e. GCF of 6611,6541 is 1 .
LCM of Denominators means LCM of 351,9751 as per the given fractions.
LCM of 351,9751 is 3422601 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6611,6541
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6611
List of positive integer factors of 6611 that divides 6611 without a remainder.
1,11,601,6611
Factors of 6541
List of positive integer factors of 6541 that divides 6541 without a remainder.
1,31,211,6541
Greatest Common Factor
We found the factors 6611,6541 . The biggest common factor number is the GCF number.
So the greatest common factor 6611,6541 is 1.
Lets's calculate LCM of 351,9751
Given numbers has no common factors except 1. So, there LCM is their product i.e 3422601
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3422601
Therefore, the GCF of Fractions 6611/351,6541/9751 is 1/3422601
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 351,9751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,9751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(351,9751) x common factors =1 x 1 = 1
LCM(351,9751) = ( 351 × 9751 ) / 1
LCM(351,9751) = 3422601 / 1
LCM(351,9751) = 3422601
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 6611/351, 6541/9751?
Answer: GCF of Numerators as per given numbers 6611/351, 6541/9751 is
GCF of Numerators i.e. for 6611,6541 is 1
LCM of denominators i.e. for 351,9751 is 3422601.
Thus, GCF of Fractions is 1/3422601.Finally, GCF of Fractions for 6611/351, 6541/9751 is 1/3422601.