Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 268/46,752/59,889/385
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 268,752,889
Greatest Common Factor of Numerators i.e. GCF of 268,752,889 is 1 .
LCM of Denominators means LCM of 46,59,385 as per the given fractions.
LCM of 46,59,385 is 1044890 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 268,752,889
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 268
List of positive integer factors of 268 that divides 268 without a remainder.
1,2,4,67,134,268
Factors of 752
List of positive integer factors of 752 that divides 752 without a remainder.
1,2,4,8,16,47,94,188,376,752
Factors of 889
List of positive integer factors of 889 that divides 889 without a remainder.
1,7,127,889
Greatest Common Factor
We found the factors 268,752,889 . The biggest common factor number is the GCF number.
So the greatest common factor 268,752,889 is 1.
Lets's calculate LCM of 46,59,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 1044890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1044890
Therefore, the GCF of Fractions 268/46,752/59,889/385 is 1/1044890
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 46,59,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,59,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,59,385) x common factors =1 x 1 = 1
LCM(46,59,385) = ( 46 × 59 × 385 ) / 1
LCM(46,59,385) = 1044890 / 1
LCM(46,59,385) = 1044890
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 268/46, 752/59, 889/385?
Answer: GCF of Numerators as per given numbers 268/46, 752/59, 889/385 is
GCF of Numerators i.e. for 268,752,889 is 1
LCM of denominators i.e. for 46,59,385 is 1044890.
Thus, GCF of Fractions is 1/1044890.Finally, GCF of Fractions for 268/46, 752/59, 889/385 is 1/1044890.