Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 89/95,81/94,340/149
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 89,81,340
Greatest Common Factor of Numerators i.e. GCF of 89,81,340 is 1 .
LCM of Denominators means LCM of 95,94,149 as per the given fractions.
LCM of 95,94,149 is 1330570 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 89,81,340
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 340
List of positive integer factors of 340 that divides 340 without a remainder.
1,2,4,5,10,17,20,34,68,85,170,340
Greatest Common Factor
We found the factors 89,81,340 . The biggest common factor number is the GCF number.
So the greatest common factor 89,81,340 is 1.
Lets's calculate LCM of 95,94,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 1330570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1330570
Therefore, the GCF of Fractions 89/95,81/94,340/149 is 1/1330570
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 95,94,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,94,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,94,149) x common factors =1 x 1 = 1
LCM(95,94,149) = ( 95 × 94 × 149 ) / 1
LCM(95,94,149) = 1330570 / 1
LCM(95,94,149) = 1330570
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 89/95, 81/94, 340/149?
Answer: GCF of Numerators as per given numbers 89/95, 81/94, 340/149 is
GCF of Numerators i.e. for 89,81,340 is 1
LCM of denominators i.e. for 95,94,149 is 1330570.
Thus, GCF of Fractions is 1/1330570.Finally, GCF of Fractions for 89/95, 81/94, 340/149 is 1/1330570.