Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 360/46,388/84,688/241
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 360,388,688
Greatest Common Factor of Numerators i.e. GCF of 360,388,688 is 4 .
LCM of Denominators means LCM of 46,84,241 as per the given fractions.
LCM of 46,84,241 is 465612 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 360,388,688
2 | 360, 388, 688 |
2 | 180, 194, 344 |
90, 97, 172 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Greatest Common Factor
We found the factors 360,388,688 . The biggest common factor number is the GCF number.
So the greatest common factor 360,388,688 is 4.
Lets's calculate LCM of 46,84,241
2 | 46, 84, 241 |
23, 42, 241 |
∴ So the LCM of the given numbers is 2 x 23 x 42 x 241 = 465612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/465612
Therefore, the GCF of Fractions 360/46,388/84,688/241 is 4/465612
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 46,84,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,84,241) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,84,241) x common factors =1 x 2 = 2
LCM(46,84,241) = ( 46 × 84 × 241 ) / 2
LCM(46,84,241) = 931224 / 2
LCM(46,84,241) = 465612
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 360/46, 388/84, 688/241?
Answer: GCF of Numerators as per given numbers 360/46, 388/84, 688/241 is
GCF of Numerators i.e. for 360,388,688 is 4
LCM of denominators i.e. for 46,84,241 is 465612.
Thus, GCF of Fractions is 4/465612.Finally, GCF of Fractions for 360/46, 388/84, 688/241 is 4/465612.