Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 761/19,566/159
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 761,566
Greatest Common Factor of Numerators i.e. GCF of 761,566 is 1 .
LCM of Denominators means LCM of 19,159 as per the given fractions.
LCM of 19,159 is 3021 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 761,566
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 761
List of positive integer factors of 761 that divides 761 without a remainder.
1,761
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Greatest Common Factor
We found the factors 761,566 . The biggest common factor number is the GCF number.
So the greatest common factor 761,566 is 1.
Lets's calculate LCM of 19,159
Given numbers has no common factors except 1. So, there LCM is their product i.e 3021
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3021
Therefore, the GCF of Fractions 761/19,566/159 is 1/3021
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 19,159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,159) x common factors =1 x 1 = 1
LCM(19,159) = ( 19 × 159 ) / 1
LCM(19,159) = 3021 / 1
LCM(19,159) = 3021
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 761/19, 566/159?
Answer: GCF of Numerators as per given numbers 761/19, 566/159 is
GCF of Numerators i.e. for 761,566 is 1
LCM of denominators i.e. for 19,159 is 3021.
Thus, GCF of Fractions is 1/3021.Finally, GCF of Fractions for 761/19, 566/159 is 1/3021.