Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 611/97,1209/946
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 611,1209
Greatest Common Factor of Numerators i.e. GCF of 611,1209 is 13 .
LCM of Denominators means LCM of 97,946 as per the given fractions.
LCM of 97,946 is 91762 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 611,1209
13 | 611, 1209 |
47, 93 |
∴ So the GCF of the given numbers is 13 = 13
Factors of 611
List of positive integer factors of 611 that divides 611 without a remainder.
1,13,47,611
Factors of 1209
List of positive integer factors of 1209 that divides 1209 without a remainder.
1,3,13,31,39,93,403,1209
Greatest Common Factor
We found the factors 611,1209 . The biggest common factor number is the GCF number.
So the greatest common factor 611,1209 is 13.
Lets's calculate LCM of 97,946
Given numbers has no common factors except 1. So, there LCM is their product i.e 91762
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/91762
Therefore, the GCF of Fractions 611/97,1209/946 is 13/91762
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 97,946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,946) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,946) x common factors =1 x 1 = 1
LCM(97,946) = ( 97 × 946 ) / 1
LCM(97,946) = 91762 / 1
LCM(97,946) = 91762
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 611/97, 1209/946?
Answer: GCF of Numerators as per given numbers 611/97, 1209/946 is
GCF of Numerators i.e. for 611,1209 is 13
LCM of denominators i.e. for 97,946 is 91762.
Thus, GCF of Fractions is 13/91762.Finally, GCF of Fractions for 611/97, 1209/946 is 13/91762.