Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 81/46,74/76,871/360
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 81,74,871
Greatest Common Factor of Numerators i.e. GCF of 81,74,871 is 1 .
LCM of Denominators means LCM of 46,76,360 as per the given fractions.
LCM of 46,76,360 is 157320 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 81,74,871
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 871
List of positive integer factors of 871 that divides 871 without a remainder.
1,13,67,871
Greatest Common Factor
We found the factors 81,74,871 . The biggest common factor number is the GCF number.
So the greatest common factor 81,74,871 is 1.
Lets's calculate LCM of 46,76,360
2 | 46, 76, 360 |
2 | 23, 38, 180 |
23, 19, 90 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 19 x 90 = 157320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157320
Therefore, the GCF of Fractions 81/46,74/76,871/360 is 1/157320
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 46,76,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,76,360) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(46,76,360) x common factors =2 x 4 = 8
LCM(46,76,360) = ( 46 × 76 × 360 ) / 8
LCM(46,76,360) = 1258560 / 8
LCM(46,76,360) = 157320
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 81/46, 74/76, 871/360?
Answer: GCF of Numerators as per given numbers 81/46, 74/76, 871/360 is
GCF of Numerators i.e. for 81,74,871 is 1
LCM of denominators i.e. for 46,76,360 is 157320.
Thus, GCF of Fractions is 1/157320.Finally, GCF of Fractions for 81/46, 74/76, 871/360 is 1/157320.