GCF of 4151/559, 8409/136
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4151/559, 8409/136 i.e 1/76024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4151/559, 8409/136.
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 4151/559,8409/136?
Given fractions are 4151/559,8409/136
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 4151/559,8409/136, numerators are 4151,8409
Denominators are 559,136
The GCF of 4151,8409 is 1 .
LCM of 559,136 is 76024.
The greatest common factor of 4151/559,8409/136 = [GCF of 4151,8409]/[LCM of 559,136]= 1/76024
Therefore, the GCF of 4151/559,8409/136 is 1/76024.
To find the highest common factor of 4151,8409, we have to find the factors of both numbers and list the highest common factor.
The factors of 4151 are 1, 7, 593, 4151
The factors of 8409 are 1, 3, 2803, 8409
The HCF of 4151,8409 is 1.
Lets's calculate GCF of 4151,8409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4151,8409 By Matching Biggest Common Factor Method
Now, list down the factors of 4151
:1,7,593,4151
Now, list down the factors of 8409
:1,3,2803,8409
Greatest Common Factor
We found the factors 4151,8409 . The biggest common factor number is the GCF number.
So the greatest common factor 4151,8409 is 1.
Lets's calculate LCM of 559,136
Given numbers has no common factors except 1. So, there LCM is their product i.e 76024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76024
Therefore, the GCF of Fractions 4151/559,8409/136 is 1/76024
Least Common Multiple of 559,136 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 559,136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(559,136) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(559,136) x common factors =1 x 1 = 1
LCM(559,136) = ( 559 × 136 ) / 1
LCM(559,136) = 76024 / 1
LCM(559,136) = 76024
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FAQs on GCF of Fractions of 4151/559, 8409/136
1. What is the HCF of 4151,8409?
The HCF of 4151,8409 is 1
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 4151/559, 8409/136?
Answer: GCF of Numerators as per given numbers 4151/559, 8409/136 is
GCF of Numerators i.e. for 4151,8409 is 1
LCM of denominators i.e. for 559,136 is 76024.
Thus, GCF of Fractions is 1/76024.Finally, GCF of Fractions for 4151/559, 8409/136 is 1/76024.