Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1211/424,2992/2611
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 1211,2992
Greatest Common Factor of Numerators i.e. GCF of 1211,2992 is 1 .
LCM of Denominators means LCM of 424,2611 as per the given fractions.
LCM of 424,2611 is 1107064 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1211,2992
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1211
List of positive integer factors of 1211 that divides 1211 without a remainder.
1,7,173,1211
Factors of 2992
List of positive integer factors of 2992 that divides 2992 without a remainder.
1,2,4,8,11,16,17,22,34,44,68,88,136,176,187,272,374,748,1496,2992
Greatest Common Factor
We found the factors 1211,2992 . The biggest common factor number is the GCF number.
So the greatest common factor 1211,2992 is 1.
Lets's calculate LCM of 424,2611
Given numbers has no common factors except 1. So, there LCM is their product i.e 1107064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1107064
Therefore, the GCF of Fractions 1211/424,2992/2611 is 1/1107064
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 424,2611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,2611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(424,2611) x common factors =1 x 1 = 1
LCM(424,2611) = ( 424 × 2611 ) / 1
LCM(424,2611) = 1107064 / 1
LCM(424,2611) = 1107064
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 1211/424, 2992/2611?
Answer: GCF of Numerators as per given numbers 1211/424, 2992/2611 is
GCF of Numerators i.e. for 1211,2992 is 1
LCM of denominators i.e. for 424,2611 is 1107064.
Thus, GCF of Fractions is 1/1107064.Finally, GCF of Fractions for 1211/424, 2992/2611 is 1/1107064.