GCF of 3755/159, 5900/9426
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3755/159, 5900/9426 i.e 5/499578 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3755/159, 5900/9426.
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 3755/159,5900/9426?
Given fractions are 3755/159,5900/9426
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 3755/159,5900/9426, numerators are 3755,5900
Denominators are 159,9426
The GCF of 3755,5900 is 5 .
LCM of 159,9426 is 499578.
The greatest common factor of 3755/159,5900/9426 = [GCF of 3755,5900]/[LCM of 159,9426]= 5/499578
Therefore, the GCF of 3755/159,5900/9426 is 5/499578.
To find the highest common factor of 3755,5900, we have to find the factors of both numbers and list the highest common factor.
The factors of 3755 are 1, 5, 751, 3755
The factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
The HCF of 3755,5900 is 5.
Lets's calculate GCF of 3755,5900
| 5 | 3755, 5900 |
| 751, 1180 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 3755,5900 By Matching Biggest Common Factor Method
Now, list down the factors of 3755
:1,5,751,3755
Now, list down the factors of 5900
:1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Greatest Common Factor
We found the factors 3755,5900 . The biggest common factor number is the GCF number.
So the greatest common factor 3755,5900 is 5.
Lets's calculate LCM of 159,9426
| 3 | 159, 9426 |
| 53, 3142 |
∴ So the LCM of the given numbers is 3 x 53 x 3142 = 499578
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/499578
Therefore, the GCF of Fractions 3755/159,5900/9426 is 5/499578
Least Common Multiple of 159,9426 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 159,9426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,9426) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,9426) x common factors =3 x 1 = 3
LCM(159,9426) = ( 159 × 9426 ) / 3
LCM(159,9426) = 1498734 / 3
LCM(159,9426) = 499578
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FAQs on GCF of Fractions of 3755/159, 5900/9426
1. What is the HCF of 3755,5900?
The HCF of 3755,5900 is 5
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 3755/159, 5900/9426?
Answer: GCF of Numerators as per given numbers 3755/159, 5900/9426 is
GCF of Numerators i.e. for 3755,5900 is 5
LCM of denominators i.e. for 159,9426 is 499578.
Thus, GCF of Fractions is 5/499578.Finally, GCF of Fractions for 3755/159, 5900/9426 is 5/499578.