Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/92,236/38,175/11
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 6,236,175
Greatest Common Factor of Numerators i.e. GCF of 6,236,175 is 1 .
LCM of Denominators means LCM of 92,38,11 as per the given fractions.
LCM of 92,38,11 is 19228 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,236,175
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Greatest Common Factor
We found the factors 6,236,175 . The biggest common factor number is the GCF number.
So the greatest common factor 6,236,175 is 1.
Lets's calculate LCM of 92,38,11
2 | 92, 38, 11 |
46, 19, 11 |
∴ So the LCM of the given numbers is 2 x 46 x 19 x 11 = 19228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19228
Therefore, the GCF of Fractions 6/92,236/38,175/11 is 1/19228
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 92,38,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,38,11) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(92,38,11) x common factors =1 x 2 = 2
LCM(92,38,11) = ( 92 × 38 × 11 ) / 2
LCM(92,38,11) = 38456 / 2
LCM(92,38,11) = 19228
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 6/92, 236/38, 175/11?
Answer: GCF of Numerators as per given numbers 6/92, 236/38, 175/11 is
GCF of Numerators i.e. for 6,236,175 is 1
LCM of denominators i.e. for 92,38,11 is 19228.
Thus, GCF of Fractions is 1/19228.Finally, GCF of Fractions for 6/92, 236/38, 175/11 is 1/19228.