Use our free GCF of Fractions Calculator tool to compute the GCF of 87/763, 33/269, 220/940 i.e 1/192932180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/763, 33/269, 220/940.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 87/763,33/269,220/940
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 87/763,33/269,220/940, numerators are 87,33,220
Denominators are 763,269,940
The GCF of 87,33,220 is 1 .
LCM of 763,269,940 is 192932180.
The greatest common factor of 87/763,33/269,220/940 = [GCF of 87,33,220]/[LCM of 763,269,940]= 1/192932180
Therefore, the GCF of 87/763,33/269,220/940 is 1/192932180.
To find the highest common factor of 87,33,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 87 are 1, 3, 29, 87
The factors of 33 are 1, 3, 11, 33
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 87,33,220 is 1.
Lets's calculate GCF of 87,33,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 87
:1,3,29,87
Now, list down the factors of 33
:1,3,11,33
Now, list down the factors of 220
:1,2,4,5,10,11,20,22,44,55,110,220
Greatest Common Factor
We found the factors 87,33,220 . The biggest common factor number is the GCF number.
So the greatest common factor 87,33,220 is 1.
Lets's calculate LCM of 763,269,940
Given numbers has no common factors except 1. So, there LCM is their product i.e 192932180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/192932180
Therefore, the GCF of Fractions 87/763,33/269,220/940 is 1/192932180
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 763,269,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(763,269,940) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(763,269,940) x common factors =1 x 1 = 1
LCM(763,269,940) = ( 763 × 269 × 940 ) / 1
LCM(763,269,940) = 192932180 / 1
LCM(763,269,940) = 192932180
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 87,33,220?
The HCF of 87,33,220 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. 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.
4. What is the GCF of Fractions for 87/763, 33/269, 220/940?
Answer: GCF of Numerators as per given numbers 87/763, 33/269, 220/940 is
GCF of Numerators i.e. for 87,33,220 is 1
LCM of denominators i.e. for 763,269,940 is 192932180.
Thus, GCF of Fractions is 1/192932180.Finally, GCF of Fractions for 87/763, 33/269, 220/940 is 1/192932180.