GCF of 5284/314, 4077/8646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5284/314, 4077/8646 i.e 1/1357422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5284/314, 4077/8646.
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 5284/314,4077/8646?
Given fractions are 5284/314,4077/8646
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 5284/314,4077/8646, numerators are 5284,4077
Denominators are 314,8646
The GCF of 5284,4077 is 1 .
LCM of 314,8646 is 1357422.
The greatest common factor of 5284/314,4077/8646 = [GCF of 5284,4077]/[LCM of 314,8646]= 1/1357422
Therefore, the GCF of 5284/314,4077/8646 is 1/1357422.
To find the highest common factor of 5284,4077, we have to find the factors of both numbers and list the highest common factor.
The factors of 5284 are 1, 2, 4, 1321, 2642, 5284
The factors of 4077 are 1, 3, 9, 27, 151, 453, 1359, 4077
The HCF of 5284,4077 is 1.
Lets's calculate GCF of 5284,4077
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5284,4077 By Matching Biggest Common Factor Method
Now, list down the factors of 5284
:1,2,4,1321,2642,5284
Now, list down the factors of 4077
:1,3,9,27,151,453,1359,4077
Greatest Common Factor
We found the factors 5284,4077 . The biggest common factor number is the GCF number.
So the greatest common factor 5284,4077 is 1.
Lets's calculate LCM of 314,8646
| 2 | 314, 8646 |
| 157, 4323 |
∴ So the LCM of the given numbers is 2 x 157 x 4323 = 1357422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1357422
Therefore, the GCF of Fractions 5284/314,4077/8646 is 1/1357422
Least Common Multiple of 314,8646 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 314,8646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(314,8646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(314,8646) x common factors =2 x 1 = 2
LCM(314,8646) = ( 314 × 8646 ) / 2
LCM(314,8646) = 2714844 / 2
LCM(314,8646) = 1357422
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FAQs on GCF of Fractions of 5284/314, 4077/8646
1. What is the HCF of 5284,4077?
The HCF of 5284,4077 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 5284/314, 4077/8646?
Answer: GCF of Numerators as per given numbers 5284/314, 4077/8646 is
GCF of Numerators i.e. for 5284,4077 is 1
LCM of denominators i.e. for 314,8646 is 1357422.
Thus, GCF of Fractions is 1/1357422.Finally, GCF of Fractions for 5284/314, 4077/8646 is 1/1357422.