GCF of 5682/464, 8787/6404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5682/464, 8787/6404 i.e 3/742864 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5682/464, 8787/6404.
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 5682/464,8787/6404?
Given fractions are 5682/464,8787/6404
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 5682/464,8787/6404, numerators are 5682,8787
Denominators are 464,6404
The GCF of 5682,8787 is 3 .
LCM of 464,6404 is 742864.
The greatest common factor of 5682/464,8787/6404 = [GCF of 5682,8787]/[LCM of 464,6404]= 3/742864
Therefore, the GCF of 5682/464,8787/6404 is 3/742864.
To find the highest common factor of 5682,8787, we have to find the factors of both numbers and list the highest common factor.
The factors of 5682 are 1, 2, 3, 6, 947, 1894, 2841, 5682
The factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787
The HCF of 5682,8787 is 3.
Lets's calculate GCF of 5682,8787
| 3 | 5682, 8787 |
| 1894, 2929 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5682,8787 By Matching Biggest Common Factor Method
Now, list down the factors of 5682
:1,2,3,6,947,1894,2841,5682
Now, list down the factors of 8787
:1,3,29,87,101,303,2929,8787
Greatest Common Factor
We found the factors 5682,8787 . The biggest common factor number is the GCF number.
So the greatest common factor 5682,8787 is 3.
Lets's calculate LCM of 464,6404
| 2 | 464, 6404 |
| 2 | 232, 3202 |
| 116, 1601 |
∴ So the LCM of the given numbers is 2 x 2 x 116 x 1601 = 742864
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/742864
Therefore, the GCF of Fractions 5682/464,8787/6404 is 3/742864
Least Common Multiple of 464,6404 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 464,6404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(464,6404) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(464,6404) x common factors =4 x 1 = 4
LCM(464,6404) = ( 464 × 6404 ) / 4
LCM(464,6404) = 2971456 / 4
LCM(464,6404) = 742864
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FAQs on GCF of Fractions of 5682/464, 8787/6404
1. What is the HCF of 5682,8787?
The HCF of 5682,8787 is 3
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 5682/464, 8787/6404?
Answer: GCF of Numerators as per given numbers 5682/464, 8787/6404 is
GCF of Numerators i.e. for 5682,8787 is 3
LCM of denominators i.e. for 464,6404 is 742864.
Thus, GCF of Fractions is 3/742864.Finally, GCF of Fractions for 5682/464, 8787/6404 is 3/742864.