Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 748/361,841/397
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 748,841
Greatest Common Factor of Numerators i.e. GCF of 748,841 is 1 .
LCM of Denominators means LCM of 361,397 as per the given fractions.
LCM of 361,397 is 143317 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 748,841
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Greatest Common Factor
We found the factors 748,841 . The biggest common factor number is the GCF number.
So the greatest common factor 748,841 is 1.
Lets's calculate LCM of 361,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 143317
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143317
Therefore, the GCF of Fractions 748/361,841/397 is 1/143317
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 361,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,397) x common factors =1 x 1 = 1
LCM(361,397) = ( 361 × 397 ) / 1
LCM(361,397) = 143317 / 1
LCM(361,397) = 143317
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 748/361, 841/397?
Answer: GCF of Numerators as per given numbers 748/361, 841/397 is
GCF of Numerators i.e. for 748,841 is 1
LCM of denominators i.e. for 361,397 is 143317.
Thus, GCF of Fractions is 1/143317.Finally, GCF of Fractions for 748/361, 841/397 is 1/143317.