Use our free GCF of Fractions Calculator tool to compute the GCF of 8860/752, 3473/2192 i.e 1/103024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8860/752, 3473/2192.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8860/752,3473/2192
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 8860/752,3473/2192, numerators are 8860,3473
Denominators are 752,2192
The GCF of 8860,3473 is 1 .
LCM of 752,2192 is 103024.
The greatest common factor of 8860/752,3473/2192 = [GCF of 8860,3473]/[LCM of 752,2192]= 1/103024
Therefore, the GCF of 8860/752,3473/2192 is 1/103024.
To find the highest common factor of 8860,3473, we have to find the factors of both numbers and list the highest common factor.
The factors of 8860 are 1, 2, 4, 5, 10, 20, 443, 886, 1772, 2215, 4430, 8860
The factors of 3473 are 1, 23, 151, 3473
The HCF of 8860,3473 is 1.
Lets's calculate GCF of 8860,3473
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 8860
:1,2,4,5,10,20,443,886,1772,2215,4430,8860
Now, list down the factors of 3473
:1,23,151,3473
Greatest Common Factor
We found the factors 8860,3473 . The biggest common factor number is the GCF number.
So the greatest common factor 8860,3473 is 1.
Lets's calculate LCM of 752,2192
2 | 752, 2192 |
2 | 376, 1096 |
2 | 188, 548 |
2 | 94, 274 |
47, 137 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 47 x 137 = 103024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103024
Therefore, the GCF of Fractions 8860/752,3473/2192 is 1/103024
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 752,2192 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,2192) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(752,2192) x common factors =16 x 1 = 16
LCM(752,2192) = ( 752 × 2192 ) / 16
LCM(752,2192) = 1648384 / 16
LCM(752,2192) = 103024
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 8860,3473?
The HCF of 8860,3473 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 8860/752, 3473/2192?
Answer: GCF of Numerators as per given numbers 8860/752, 3473/2192 is
GCF of Numerators i.e. for 8860,3473 is 1
LCM of denominators i.e. for 752,2192 is 103024.
Thus, GCF of Fractions is 1/103024.Finally, GCF of Fractions for 8860/752, 3473/2192 is 1/103024.