Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1159/349,1576/213
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 1159,1576
Greatest Common Factor of Numerators i.e. GCF of 1159,1576 is 1 .
LCM of Denominators means LCM of 349,213 as per the given fractions.
LCM of 349,213 is 74337 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1159,1576
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 1159
List of positive integer factors of 1159 that divides 1159 without a remainder.
1,19,61,1159
Factors of 1576
List of positive integer factors of 1576 that divides 1576 without a remainder.
1,2,4,8,197,394,788,1576
Greatest Common Factor
We found the factors 1159,1576 . The biggest common factor number is the GCF number.
So the greatest common factor 1159,1576 is 1.
Lets's calculate LCM of 349,213
Given numbers has no common factors except 1. So, there LCM is their product i.e 74337
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74337
Therefore, the GCF of Fractions 1159/349,1576/213 is 1/74337
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 349,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,213) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,213) x common factors =1 x 1 = 1
LCM(349,213) = ( 349 × 213 ) / 1
LCM(349,213) = 74337 / 1
LCM(349,213) = 74337
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 1159/349, 1576/213?
Answer: GCF of Numerators as per given numbers 1159/349, 1576/213 is
GCF of Numerators i.e. for 1159,1576 is 1
LCM of denominators i.e. for 349,213 is 74337.
Thus, GCF of Fractions is 1/74337.Finally, GCF of Fractions for 1159/349, 1576/213 is 1/74337.