GCF of 4936/171, 3400/8895
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4936/171, 3400/8895 i.e 8/507015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4936/171, 3400/8895.
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 4936/171,3400/8895?
Given fractions are 4936/171,3400/8895
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 4936/171,3400/8895, numerators are 4936,3400
Denominators are 171,8895
The GCF of 4936,3400 is 8 .
LCM of 171,8895 is 507015.
The greatest common factor of 4936/171,3400/8895 = [GCF of 4936,3400]/[LCM of 171,8895]= 8/507015
Therefore, the GCF of 4936/171,3400/8895 is 8/507015.
To find the highest common factor of 4936,3400, we have to find the factors of both numbers and list the highest common factor.
The factors of 4936 are 1, 2, 4, 8, 617, 1234, 2468, 4936
The factors of 3400 are 1, 2, 4, 5, 8, 10, 17, 20, 25, 34, 40, 50, 68, 85, 100, 136, 170, 200, 340, 425, 680, 850, 1700, 3400
The HCF of 4936,3400 is 8.
Lets's calculate GCF of 4936,3400
| 2 | 4936, 3400 |
| 2 | 2468, 1700 |
| 2 | 1234, 850 |
| 617, 425 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 4936,3400 By Matching Biggest Common Factor Method
Now, list down the factors of 4936
:1,2,4,8,617,1234,2468,4936
Now, list down the factors of 3400
:1,2,4,5,8,10,17,20,25,34,40,50,68,85,100,136,170,200,340,425,680,850,1700,3400
Greatest Common Factor
We found the factors 4936,3400 . The biggest common factor number is the GCF number.
So the greatest common factor 4936,3400 is 8.
Lets's calculate LCM of 171,8895
| 3 | 171, 8895 |
| 57, 2965 |
∴ So the LCM of the given numbers is 3 x 57 x 2965 = 507015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/507015
Therefore, the GCF of Fractions 4936/171,3400/8895 is 8/507015
Least Common Multiple of 171,8895 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 171,8895 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,8895) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(171,8895) x common factors =3 x 1 = 3
LCM(171,8895) = ( 171 × 8895 ) / 3
LCM(171,8895) = 1521045 / 3
LCM(171,8895) = 507015
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FAQs on GCF of Fractions of 4936/171, 3400/8895
1. What is the HCF of 4936,3400?
The HCF of 4936,3400 is 8
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 4936/171, 3400/8895?
Answer: GCF of Numerators as per given numbers 4936/171, 3400/8895 is
GCF of Numerators i.e. for 4936,3400 is 8
LCM of denominators i.e. for 171,8895 is 507015.
Thus, GCF of Fractions is 8/507015.Finally, GCF of Fractions for 4936/171, 3400/8895 is 8/507015.