Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 234/89,771/607
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 234,771
Greatest Common Factor of Numerators i.e. GCF of 234,771 is 3 .
LCM of Denominators means LCM of 89,607 as per the given fractions.
LCM of 89,607 is 54023 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 234,771
3 | 234, 771 |
78, 257 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 234
List of positive integer factors of 234 that divides 234 without a remainder.
1,2,3,6,9,13,18,26,39,78,117,234
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Greatest Common Factor
We found the factors 234,771 . The biggest common factor number is the GCF number.
So the greatest common factor 234,771 is 3.
Lets's calculate LCM of 89,607
Given numbers has no common factors except 1. So, there LCM is their product i.e 54023
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/54023
Therefore, the GCF of Fractions 234/89,771/607 is 3/54023
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 89,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,607) x common factors =1 x 1 = 1
LCM(89,607) = ( 89 × 607 ) / 1
LCM(89,607) = 54023 / 1
LCM(89,607) = 54023
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 234/89, 771/607?
Answer: GCF of Numerators as per given numbers 234/89, 771/607 is
GCF of Numerators i.e. for 234,771 is 3
LCM of denominators i.e. for 89,607 is 54023.
Thus, GCF of Fractions is 3/54023.Finally, GCF of Fractions for 234/89, 771/607 is 3/54023.