GCF of 4136/155, 8695/424
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4136/155, 8695/424 i.e 47/65720 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4136/155, 8695/424.
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 4136/155,8695/424?
Given fractions are 4136/155,8695/424
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 4136/155,8695/424, numerators are 4136,8695
Denominators are 155,424
The GCF of 4136,8695 is 47 .
LCM of 155,424 is 65720.
The greatest common factor of 4136/155,8695/424 = [GCF of 4136,8695]/[LCM of 155,424]= 47/65720
Therefore, the GCF of 4136/155,8695/424 is 47/65720.
To find the highest common factor of 4136,8695, we have to find the factors of both numbers and list the highest common factor.
The factors of 4136 are 1, 2, 4, 8, 11, 22, 44, 47, 88, 94, 188, 376, 517, 1034, 2068, 4136
The factors of 8695 are 1, 5, 37, 47, 185, 235, 1739, 8695
The HCF of 4136,8695 is 47.
Lets's calculate GCF of 4136,8695
| 47 | 4136, 8695 |
| 88, 185 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 4136,8695 By Matching Biggest Common Factor Method
Now, list down the factors of 4136
:1,2,4,8,11,22,44,47,88,94,188,376,517,1034,2068,4136
Now, list down the factors of 8695
:1,5,37,47,185,235,1739,8695
Greatest Common Factor
We found the factors 4136,8695 . The biggest common factor number is the GCF number.
So the greatest common factor 4136,8695 is 47.
Lets's calculate LCM of 155,424
Given numbers has no common factors except 1. So, there LCM is their product i.e 65720
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/65720
Therefore, the GCF of Fractions 4136/155,8695/424 is 47/65720
Least Common Multiple of 155,424 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 155,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(155,424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(155,424) x common factors =1 x 1 = 1
LCM(155,424) = ( 155 × 424 ) / 1
LCM(155,424) = 65720 / 1
LCM(155,424) = 65720
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4136/155, 8695/424
1. What is the HCF of 4136,8695?
The HCF of 4136,8695 is 47
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 4136/155, 8695/424?
Answer: GCF of Numerators as per given numbers 4136/155, 8695/424 is
GCF of Numerators i.e. for 4136,8695 is 47
LCM of denominators i.e. for 155,424 is 65720.
Thus, GCF of Fractions is 47/65720.Finally, GCF of Fractions for 4136/155, 8695/424 is 47/65720.