GCF of 8236/464, 5709/3161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8236/464, 5709/3161 i.e 1/50576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8236/464, 5709/3161.
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 8236/464,5709/3161?
Given fractions are 8236/464,5709/3161
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 8236/464,5709/3161, numerators are 8236,5709
Denominators are 464,3161
The GCF of 8236,5709 is 1 .
LCM of 464,3161 is 50576.
The greatest common factor of 8236/464,5709/3161 = [GCF of 8236,5709]/[LCM of 464,3161]= 1/50576
Therefore, the GCF of 8236/464,5709/3161 is 1/50576.
To find the highest common factor of 8236,5709, we have to find the factors of both numbers and list the highest common factor.
The factors of 8236 are 1, 2, 4, 29, 58, 71, 116, 142, 284, 2059, 4118, 8236
The factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709
The HCF of 8236,5709 is 1.
Lets's calculate GCF of 8236,5709
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8236,5709 By Matching Biggest Common Factor Method
Now, list down the factors of 8236
:1,2,4,29,58,71,116,142,284,2059,4118,8236
Now, list down the factors of 5709
:1,3,11,33,173,519,1903,5709
Greatest Common Factor
We found the factors 8236,5709 . The biggest common factor number is the GCF number.
So the greatest common factor 8236,5709 is 1.
Lets's calculate LCM of 464,3161
| 29 | 464, 3161 |
| 16, 109 |
∴ So the LCM of the given numbers is 29 x 16 x 109 = 50576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50576
Therefore, the GCF of Fractions 8236/464,5709/3161 is 1/50576
Least Common Multiple of 464,3161 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 464,3161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,3161) = 29
common factors(in case of two or more numbers have common factors) = 1
GCF(464,3161) x common factors =29 x 1 = 29
LCM(464,3161) = ( 464 × 3161 ) / 29
LCM(464,3161) = 1466704 / 29
LCM(464,3161) = 50576
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FAQs on GCF of Fractions of 8236/464, 5709/3161
1. What is the HCF of 8236,5709?
The HCF of 8236,5709 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 8236/464, 5709/3161?
Answer: GCF of Numerators as per given numbers 8236/464, 5709/3161 is
GCF of Numerators i.e. for 8236,5709 is 1
LCM of denominators i.e. for 464,3161 is 50576.
Thus, GCF of Fractions is 1/50576.Finally, GCF of Fractions for 8236/464, 5709/3161 is 1/50576.