GCF of 629/728, 408/572
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 629/728, 408/572 i.e 17/8008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 629/728, 408/572.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 629/728,408/572?
Given fractions are 629/728,408/572
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 629/728,408/572, numerators are 629,408
Denominators are 728,572
The GCF of 629,408 is 17 .
LCM of 728,572 is 8008.
The greatest common factor of 629/728,408/572 = [GCF of 629,408]/[LCM of 728,572]= 17/8008
Therefore, the GCF of 629/728,408/572 is 17/8008.
To find the highest common factor of 629,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 629 are 1, 17, 37, 629
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 629,408 is 17.
Lets's calculate GCF of 629,408
| 17 | 629, 408 |
| 37, 24 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 629,408 By Matching Biggest Common Factor Method
Now, list down the factors of 629
:1,17,37,629
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 629,408 . The biggest common factor number is the GCF number.
So the greatest common factor 629,408 is 17.
Lets's calculate LCM of 728,572
| 2 | 728, 572 |
| 2 | 364, 286 |
| 13 | 182, 143 |
| 14, 11 |
∴ So the LCM of the given numbers is 2 x 2 x 13 x 14 x 11 = 8008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/8008
Therefore, the GCF of Fractions 629/728,408/572 is 17/8008
Least Common Multiple of 728,572 with GCF Formula
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 728,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(728,572) = 52
common factors(in case of two or more numbers have common factors) = 1
GCF(728,572) x common factors =52 x 1 = 52
LCM(728,572) = ( 728 × 572 ) / 52
LCM(728,572) = 416416 / 52
LCM(728,572) = 8008
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FAQs on GCF of Fractions of 629/728, 408/572
1. What is the HCF of 629,408?
The HCF of 629,408 is 17
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 629/728, 408/572?
Answer: GCF of Numerators as per given numbers 629/728, 408/572 is
GCF of Numerators i.e. for 629,408 is 17
LCM of denominators i.e. for 728,572 is 8008.
Thus, GCF of Fractions is 17/8008.Finally, GCF of Fractions for 629/728, 408/572 is 17/8008.