Use our free GCF of Fractions Calculator tool to compute the GCF of 48/601, 651/638, 722/560 i.e 1/107362640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/601, 651/638, 722/560.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 48/601,651/638,722/560
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 48/601,651/638,722/560, numerators are 48,651,722
Denominators are 601,638,560
The GCF of 48,651,722 is 1 .
LCM of 601,638,560 is 107362640.
The greatest common factor of 48/601,651/638,722/560 = [GCF of 48,651,722]/[LCM of 601,638,560]= 1/107362640
Therefore, the GCF of 48/601,651/638,722/560 is 1/107362640.
To find the highest common factor of 48,651,722, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 651 are 1, 3, 7, 21, 31, 93, 217, 651
The factors of 722 are 1, 2, 19, 38, 361, 722
The HCF of 48,651,722 is 1.
Lets's calculate GCF of 48,651,722
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 651
:1,3,7,21,31,93,217,651
Now, list down the factors of 722
:1,2,19,38,361,722
Greatest Common Factor
We found the factors 48,651,722 . The biggest common factor number is the GCF number.
So the greatest common factor 48,651,722 is 1.
Lets's calculate LCM of 601,638,560
2 | 601, 638, 560 |
601, 319, 280 |
∴ So the LCM of the given numbers is 2 x 601 x 319 x 280 = 107362640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/107362640
Therefore, the GCF of Fractions 48/601,651/638,722/560 is 1/107362640
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 601,638,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,638,560) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(601,638,560) x common factors =1 x 2 = 2
LCM(601,638,560) = ( 601 × 638 × 560 ) / 2
LCM(601,638,560) = 214725280 / 2
LCM(601,638,560) = 107362640
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 48,651,722?
The HCF of 48,651,722 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 48/601, 651/638, 722/560?
Answer: GCF of Numerators as per given numbers 48/601, 651/638, 722/560 is
GCF of Numerators i.e. for 48,651,722 is 1
LCM of denominators i.e. for 601,638,560 is 107362640.
Thus, GCF of Fractions is 1/107362640.Finally, GCF of Fractions for 48/601, 651/638, 722/560 is 1/107362640.