Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8557/56,5166/545
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 8557,5166
Greatest Common Factor of Numerators i.e. GCF of 8557,5166 is 1 .
LCM of Denominators means LCM of 56,545 as per the given fractions.
LCM of 56,545 is 30520 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8557,5166
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8557
List of positive integer factors of 8557 that divides 8557 without a remainder.
1,43,199,8557
Factors of 5166
List of positive integer factors of 5166 that divides 5166 without a remainder.
1,2,3,6,7,9,14,18,21,41,42,63,82,123,126,246,287,369,574,738,861,1722,2583,5166
Greatest Common Factor
We found the factors 8557,5166 . The biggest common factor number is the GCF number.
So the greatest common factor 8557,5166 is 1.
Lets's calculate LCM of 56,545
Given numbers has no common factors except 1. So, there LCM is their product i.e 30520
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30520
Therefore, the GCF of Fractions 8557/56,5166/545 is 1/30520
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 56,545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(56,545) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(56,545) x common factors =1 x 1 = 1
LCM(56,545) = ( 56 × 545 ) / 1
LCM(56,545) = 30520 / 1
LCM(56,545) = 30520
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 8557/56, 5166/545?
Answer: GCF of Numerators as per given numbers 8557/56, 5166/545 is
GCF of Numerators i.e. for 8557,5166 is 1
LCM of denominators i.e. for 56,545 is 30520.
Thus, GCF of Fractions is 1/30520.Finally, GCF of Fractions for 8557/56, 5166/545 is 1/30520.