Use our free GCF of Fractions Calculator tool to compute the GCF of 88/348, 75/886, 220/993 i.e 1/51028284 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/348, 75/886, 220/993.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/348,75/886,220/993
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 88/348,75/886,220/993, numerators are 88,75,220
Denominators are 348,886,993
The GCF of 88,75,220 is 1 .
LCM of 348,886,993 is 51028284.
The greatest common factor of 88/348,75/886,220/993 = [GCF of 88,75,220]/[LCM of 348,886,993]= 1/51028284
Therefore, the GCF of 88/348,75/886,220/993 is 1/51028284.
To find the highest common factor of 88,75,220, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 75 are 1, 3, 5, 15, 25, 75
The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
The HCF of 88,75,220 is 1.
Lets's calculate GCF of 88,75,220
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 75
:1,3,5,15,25,75
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 88,75,220 . The biggest common factor number is the GCF number.
So the greatest common factor 88,75,220 is 1.
Lets's calculate LCM of 348,886,993
2 | 348, 886, 993 |
3 | 174, 443, 993 |
58, 443, 331 |
∴ So the LCM of the given numbers is 2 x 3 x 58 x 443 x 331 = 51028284
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51028284
Therefore, the GCF of Fractions 88/348,75/886,220/993 is 1/51028284
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 348,886,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(348,886,993) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(348,886,993) x common factors =1 x 6 = 6
LCM(348,886,993) = ( 348 × 886 × 993 ) / 6
LCM(348,886,993) = 306169704 / 6
LCM(348,886,993) = 51028284
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,75,220?
The HCF of 88,75,220 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 88/348, 75/886, 220/993?
Answer: GCF of Numerators as per given numbers 88/348, 75/886, 220/993 is
GCF of Numerators i.e. for 88,75,220 is 1
LCM of denominators i.e. for 348,886,993 is 51028284.
Thus, GCF of Fractions is 1/51028284.Finally, GCF of Fractions for 88/348, 75/886, 220/993 is 1/51028284.