Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 927/14,771/70,148/736
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 927,771,148
Greatest Common Factor of Numerators i.e. GCF of 927,771,148 is 1 .
LCM of Denominators means LCM of 14,70,736 as per the given fractions.
LCM of 14,70,736 is 25760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 927,771,148
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 927
List of positive integer factors of 927 that divides 927 without a remainder.
1,3,9,103,309,927
Factors of 771
List of positive integer factors of 771 that divides 771 without a remainder.
1,3,257,771
Factors of 148
List of positive integer factors of 148 that divides 148 without a remainder.
1,2,4,37,74,148
Greatest Common Factor
We found the factors 927,771,148 . The biggest common factor number is the GCF number.
So the greatest common factor 927,771,148 is 1.
Lets's calculate LCM of 14,70,736
2 | 14, 70, 736 |
7 | 7, 35, 368 |
1, 5, 368 |
∴ So the LCM of the given numbers is 2 x 7 x 1 x 5 x 368 = 25760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25760
Therefore, the GCF of Fractions 927/14,771/70,148/736 is 1/25760
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 14,70,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,70,736) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(14,70,736) x common factors =2 x 14 = 28
LCM(14,70,736) = ( 14 × 70 × 736 ) / 28
LCM(14,70,736) = 721280 / 28
LCM(14,70,736) = 25760
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 927/14, 771/70, 148/736?
Answer: GCF of Numerators as per given numbers 927/14, 771/70, 148/736 is
GCF of Numerators i.e. for 927,771,148 is 1
LCM of denominators i.e. for 14,70,736 is 25760.
Thus, GCF of Fractions is 1/25760.Finally, GCF of Fractions for 927/14, 771/70, 148/736 is 1/25760.