Use our free GCF of Fractions Calculator tool to compute the GCF of 348/860, 592/645 i.e 4/2580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 348/860, 592/645.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 348/860,592/645
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 348/860,592/645, numerators are 348,592
Denominators are 860,645
The GCF of 348,592 is 4 .
LCM of 860,645 is 2580.
The greatest common factor of 348/860,592/645 = [GCF of 348,592]/[LCM of 860,645]= 4/2580
Therefore, the GCF of 348/860,592/645 is 4/2580.
To find the highest common factor of 348,592, we have to find the factors of both numbers and list the highest common factor.
The factors of 348 are 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
The factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592
The HCF of 348,592 is 4.
Lets's calculate GCF of 348,592
2 | 348, 592 |
2 | 174, 296 |
87, 148 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Now, list down the factors of 348
:1,2,3,4,6,12,29,58,87,116,174,348
Now, list down the factors of 592
:1,2,4,8,16,37,74,148,296,592
Greatest Common Factor
We found the factors 348,592 . The biggest common factor number is the GCF number.
So the greatest common factor 348,592 is 4.
Lets's calculate LCM of 860,645
5 | 860, 645 |
43 | 172, 129 |
4, 3 |
∴ So the LCM of the given numbers is 5 x 43 x 4 x 3 = 2580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2580
Therefore, the GCF of Fractions 348/860,592/645 is 4/2580
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 860,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,645) = 215
common factors(in case of two or more numbers have common factors) = 1
GCF(860,645) x common factors =215 x 1 = 215
LCM(860,645) = ( 860 × 645 ) / 215
LCM(860,645) = 554700 / 215
LCM(860,645) = 2580
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 348,592?
The HCF of 348,592 is 4
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 348/860, 592/645?
Answer: GCF of Numerators as per given numbers 348/860, 592/645 is
GCF of Numerators i.e. for 348,592 is 4
LCM of denominators i.e. for 860,645 is 2580.
Thus, GCF of Fractions is 4/2580.Finally, GCF of Fractions for 348/860, 592/645 is 4/2580.