GCF of 564/381, 502/125
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 564/381, 502/125 i.e 2/47625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 564/381, 502/125.
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 564/381,502/125?
Given fractions are 564/381,502/125
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 564/381,502/125, numerators are 564,502
Denominators are 381,125
The GCF of 564,502 is 2 .
LCM of 381,125 is 47625.
The greatest common factor of 564/381,502/125 = [GCF of 564,502]/[LCM of 381,125]= 2/47625
Therefore, the GCF of 564/381,502/125 is 2/47625.
To find the highest common factor of 564,502, we have to find the factors of both numbers and list the highest common factor.
The factors of 564 are 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
The factors of 502 are 1, 2, 251, 502
The HCF of 564,502 is 2.
Lets's calculate GCF of 564,502
| 2 | 564, 502 |
| 282, 251 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 564,502 By Matching Biggest Common Factor Method
Now, list down the factors of 564
:1,2,3,4,6,12,47,94,141,188,282,564
Now, list down the factors of 502
:1,2,251,502
Greatest Common Factor
We found the factors 564,502 . The biggest common factor number is the GCF number.
So the greatest common factor 564,502 is 2.
Lets's calculate LCM of 381,125
Given numbers has no common factors except 1. So, there LCM is their product i.e 47625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/47625
Therefore, the GCF of Fractions 564/381,502/125 is 2/47625
Least Common Multiple of 381,125 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 381,125 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(381,125) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(381,125) x common factors =1 x 1 = 1
LCM(381,125) = ( 381 × 125 ) / 1
LCM(381,125) = 47625 / 1
LCM(381,125) = 47625
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FAQs on GCF of Fractions of 564/381, 502/125
1. What is the HCF of 564,502?
The HCF of 564,502 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 564/381, 502/125?
Answer: GCF of Numerators as per given numbers 564/381, 502/125 is
GCF of Numerators i.e. for 564,502 is 2
LCM of denominators i.e. for 381,125 is 47625.
Thus, GCF of Fractions is 2/47625.Finally, GCF of Fractions for 564/381, 502/125 is 2/47625.