Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1031/17,3488/377
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 1031,3488
Greatest Common Factor of Numerators i.e. GCF of 1031,3488 is 1 .
LCM of Denominators means LCM of 17,377 as per the given fractions.
LCM of 17,377 is 6409 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1031,3488
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1031
List of positive integer factors of 1031 that divides 1031 without a remainder.
1,1031
Factors of 3488
List of positive integer factors of 3488 that divides 3488 without a remainder.
1,2,4,8,16,32,109,218,436,872,1744,3488
Greatest Common Factor
We found the factors 1031,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 1031,3488 is 1.
Lets's calculate LCM of 17,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 6409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6409
Therefore, the GCF of Fractions 1031/17,3488/377 is 1/6409
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 17,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(17,377) x common factors =1 x 1 = 1
LCM(17,377) = ( 17 × 377 ) / 1
LCM(17,377) = 6409 / 1
LCM(17,377) = 6409
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 1031/17, 3488/377?
Answer: GCF of Numerators as per given numbers 1031/17, 3488/377 is
GCF of Numerators i.e. for 1031,3488 is 1
LCM of denominators i.e. for 17,377 is 6409.
Thus, GCF of Fractions is 1/6409.Finally, GCF of Fractions for 1031/17, 3488/377 is 1/6409.