Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 95/94,74/50,166/842
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 95,74,166
Greatest Common Factor of Numerators i.e. GCF of 95,74,166 is 1 .
LCM of Denominators means LCM of 94,50,842 as per the given fractions.
LCM of 94,50,842 is 989350 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 95,74,166
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 95
List of positive integer factors of 95 that divides 95 without a remainder.
1,5,19,95
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Greatest Common Factor
We found the factors 95,74,166 . The biggest common factor number is the GCF number.
So the greatest common factor 95,74,166 is 1.
Lets's calculate LCM of 94,50,842
2 | 94, 50, 842 |
47, 25, 421 |
∴ So the LCM of the given numbers is 2 x 47 x 25 x 421 = 989350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/989350
Therefore, the GCF of Fractions 95/94,74/50,166/842 is 1/989350
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 94,50,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,50,842) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(94,50,842) x common factors =2 x 2 = 4
LCM(94,50,842) = ( 94 × 50 × 842 ) / 4
LCM(94,50,842) = 3957400 / 4
LCM(94,50,842) = 989350
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 95/94, 74/50, 166/842?
Answer: GCF of Numerators as per given numbers 95/94, 74/50, 166/842 is
GCF of Numerators i.e. for 95,74,166 is 1
LCM of denominators i.e. for 94,50,842 is 989350.
Thus, GCF of Fractions is 1/989350.Finally, GCF of Fractions for 95/94, 74/50, 166/842 is 1/989350.