Use our free GCF of Fractions Calculator tool to compute the GCF of 648/840, 608/242 i.e 8/101640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 648/840, 608/242.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 648/840,608/242
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 648/840,608/242, numerators are 648,608
Denominators are 840,242
The GCF of 648,608 is 8 .
LCM of 840,242 is 101640.
The greatest common factor of 648/840,608/242 = [GCF of 648,608]/[LCM of 840,242]= 8/101640
Therefore, the GCF of 648/840,608/242 is 8/101640.
To find the highest common factor of 648,608, we have to find the factors of both numbers and list the highest common factor.
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The HCF of 648,608 is 8.
Lets's calculate GCF of 648,608
2 | 648, 608 |
2 | 324, 304 |
2 | 162, 152 |
81, 76 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Greatest Common Factor
We found the factors 648,608 . The biggest common factor number is the GCF number.
So the greatest common factor 648,608 is 8.
Lets's calculate LCM of 840,242
2 | 840, 242 |
420, 121 |
∴ So the LCM of the given numbers is 2 x 420 x 121 = 101640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/101640
Therefore, the GCF of Fractions 648/840,608/242 is 8/101640
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 840,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,242) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(840,242) x common factors =2 x 1 = 2
LCM(840,242) = ( 840 × 242 ) / 2
LCM(840,242) = 203280 / 2
LCM(840,242) = 101640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 648,608?
The HCF of 648,608 is 8
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 648/840, 608/242?
Answer: GCF of Numerators as per given numbers 648/840, 608/242 is
GCF of Numerators i.e. for 648,608 is 8
LCM of denominators i.e. for 840,242 is 101640.
Thus, GCF of Fractions is 8/101640.Finally, GCF of Fractions for 648/840, 608/242 is 8/101640.