GCF of 502/38, 644/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 502/38, 644/408 i.e 2/7752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 502/38, 644/408.
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 502/38,644/408?
Given fractions are 502/38,644/408
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 502/38,644/408, numerators are 502,644
Denominators are 38,408
The GCF of 502,644 is 2 .
LCM of 38,408 is 7752.
The greatest common factor of 502/38,644/408 = [GCF of 502,644]/[LCM of 38,408]= 2/7752
Therefore, the GCF of 502/38,644/408 is 2/7752.
To find the highest common factor of 502,644, we have to find the factors of both numbers and list the highest common factor.
The factors of 502 are 1, 2, 251, 502
The factors of 644 are 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
The HCF of 502,644 is 2.
Lets's calculate GCF of 502,644
| 2 | 502, 644 |
| 251, 322 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 502,644 By Matching Biggest Common Factor Method
Now, list down the factors of 502
:1,2,251,502
Now, list down the factors of 644
:1,2,4,7,14,23,28,46,92,161,322,644
Greatest Common Factor
We found the factors 502,644 . The biggest common factor number is the GCF number.
So the greatest common factor 502,644 is 2.
Lets's calculate LCM of 38,408
| 2 | 38, 408 |
| 19, 204 |
∴ So the LCM of the given numbers is 2 x 19 x 204 = 7752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7752
Therefore, the GCF of Fractions 502/38,644/408 is 2/7752
Least Common Multiple of 38,408 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 38,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,408) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,408) x common factors =2 x 1 = 2
LCM(38,408) = ( 38 × 408 ) / 2
LCM(38,408) = 15504 / 2
LCM(38,408) = 7752
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FAQs on GCF of Fractions of 502/38, 644/408
1. What is the HCF of 502,644?
The HCF of 502,644 is 2
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 502/38, 644/408?
Answer: GCF of Numerators as per given numbers 502/38, 644/408 is
GCF of Numerators i.e. for 502,644 is 2
LCM of denominators i.e. for 38,408 is 7752.
Thus, GCF of Fractions is 2/7752.Finally, GCF of Fractions for 502/38, 644/408 is 2/7752.