Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 34/971,34/961,380/166
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 34,34,380
Greatest Common Factor of Numerators i.e. GCF of 34,34,380 is 2 .
LCM of Denominators means LCM of 971,961,166 as per the given fractions.
LCM of 971,961,166 is 154899746 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 34,34,380
2 | 34, 34, 380 |
17, 17, 190 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 380
List of positive integer factors of 380 that divides 380 without a remainder.
1,2,4,5,10,19,20,38,76,95,190,380
Greatest Common Factor
We found the factors 34,34,380 . The biggest common factor number is the GCF number.
So the greatest common factor 34,34,380 is 2.
Lets's calculate LCM of 971,961,166
Given numbers has no common factors except 1. So, there LCM is their product i.e 154899746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/154899746
Therefore, the GCF of Fractions 34/971,34/961,380/166 is 2/154899746
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 971,961,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,961,166) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,961,166) x common factors =1 x 1 = 1
LCM(971,961,166) = ( 971 × 961 × 166 ) / 1
LCM(971,961,166) = 154899746 / 1
LCM(971,961,166) = 154899746
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 34/971, 34/961, 380/166?
Answer: GCF of Numerators as per given numbers 34/971, 34/961, 380/166 is
GCF of Numerators i.e. for 34,34,380 is 2
LCM of denominators i.e. for 971,961,166 is 154899746.
Thus, GCF of Fractions is 2/154899746.Finally, GCF of Fractions for 34/971, 34/961, 380/166 is 2/154899746.