Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 1911/491,7071/7564
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 1911,7071
Greatest Common Factor of Numerators i.e. GCF of 1911,7071 is 3 .
LCM of Denominators means LCM of 491,7564 as per the given fractions.
LCM of 491,7564 is 3713924 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 1911,7071
3 | 1911, 7071 |
637, 2357 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 1911
List of positive integer factors of 1911 that divides 1911 without a remainder.
1,3,7,13,21,39,49,91,147,273,637,1911
Factors of 7071
List of positive integer factors of 7071 that divides 7071 without a remainder.
1,3,2357,7071
Greatest Common Factor
We found the factors 1911,7071 . The biggest common factor number is the GCF number.
So the greatest common factor 1911,7071 is 3.
Lets's calculate LCM of 491,7564
Given numbers has no common factors except 1. So, there LCM is their product i.e 3713924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3713924
Therefore, the GCF of Fractions 1911/491,7071/7564 is 3/3713924
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 491,7564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(491,7564) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(491,7564) x common factors =1 x 1 = 1
LCM(491,7564) = ( 491 × 7564 ) / 1
LCM(491,7564) = 3713924 / 1
LCM(491,7564) = 3713924
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 1911/491, 7071/7564?
Answer: GCF of Numerators as per given numbers 1911/491, 7071/7564 is
GCF of Numerators i.e. for 1911,7071 is 3
LCM of denominators i.e. for 491,7564 is 3713924.
Thus, GCF of Fractions is 3/3713924.Finally, GCF of Fractions for 1911/491, 7071/7564 is 3/3713924.