GCF of 8787/420, 5899/3513
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8787/420, 5899/3513 i.e 1/491820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8787/420, 5899/3513.
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 8787/420,5899/3513?
Given fractions are 8787/420,5899/3513
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 8787/420,5899/3513, numerators are 8787,5899
Denominators are 420,3513
The GCF of 8787,5899 is 1 .
LCM of 420,3513 is 491820.
The greatest common factor of 8787/420,5899/3513 = [GCF of 8787,5899]/[LCM of 420,3513]= 1/491820
Therefore, the GCF of 8787/420,5899/3513 is 1/491820.
To find the highest common factor of 8787,5899, we have to find the factors of both numbers and list the highest common factor.
The factors of 8787 are 1, 3, 29, 87, 101, 303, 2929, 8787
The factors of 5899 are 1, 17, 347, 5899
The HCF of 8787,5899 is 1.
Lets's calculate GCF of 8787,5899
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8787,5899 By Matching Biggest Common Factor Method
Now, list down the factors of 8787
:1,3,29,87,101,303,2929,8787
Now, list down the factors of 5899
:1,17,347,5899
Greatest Common Factor
We found the factors 8787,5899 . The biggest common factor number is the GCF number.
So the greatest common factor 8787,5899 is 1.
Lets's calculate LCM of 420,3513
| 3 | 420, 3513 |
| 140, 1171 |
∴ So the LCM of the given numbers is 3 x 140 x 1171 = 491820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/491820
Therefore, the GCF of Fractions 8787/420,5899/3513 is 1/491820
Least Common Multiple of 420,3513 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 420,3513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(420,3513) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(420,3513) x common factors =3 x 1 = 3
LCM(420,3513) = ( 420 × 3513 ) / 3
LCM(420,3513) = 1475460 / 3
LCM(420,3513) = 491820
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FAQs on GCF of Fractions of 8787/420, 5899/3513
1. What is the HCF of 8787,5899?
The HCF of 8787,5899 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 8787/420, 5899/3513?
Answer: GCF of Numerators as per given numbers 8787/420, 5899/3513 is
GCF of Numerators i.e. for 8787,5899 is 1
LCM of denominators i.e. for 420,3513 is 491820.
Thus, GCF of Fractions is 1/491820.Finally, GCF of Fractions for 8787/420, 5899/3513 is 1/491820.