GCF of 8787/903, 3655/5316
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8787/903, 3655/5316 i.e 1/1600116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8787/903, 3655/5316.
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 8787/903,3655/5316?
Given fractions are 8787/903,3655/5316
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 8787/903,3655/5316, numerators are 8787,3655
Denominators are 903,5316
The GCF of 8787,3655 is 1 .
LCM of 903,5316 is 1600116.
The greatest common factor of 8787/903,3655/5316 = [GCF of 8787,3655]/[LCM of 903,5316]= 1/1600116
Therefore, the GCF of 8787/903,3655/5316 is 1/1600116.
To find the highest common factor of 8787,3655, 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 3655 are 1, 5, 17, 43, 85, 215, 731, 3655
The HCF of 8787,3655 is 1.
Lets's calculate GCF of 8787,3655
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8787,3655 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 3655
:1,5,17,43,85,215,731,3655
Greatest Common Factor
We found the factors 8787,3655 . The biggest common factor number is the GCF number.
So the greatest common factor 8787,3655 is 1.
Lets's calculate LCM of 903,5316
| 3 | 903, 5316 |
| 301, 1772 |
∴ So the LCM of the given numbers is 3 x 301 x 1772 = 1600116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1600116
Therefore, the GCF of Fractions 8787/903,3655/5316 is 1/1600116
Least Common Multiple of 903,5316 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 903,5316 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,5316) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,5316) x common factors =3 x 1 = 3
LCM(903,5316) = ( 903 × 5316 ) / 3
LCM(903,5316) = 4800348 / 3
LCM(903,5316) = 1600116
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FAQs on GCF of Fractions of 8787/903, 3655/5316
1. What is the HCF of 8787,3655?
The HCF of 8787,3655 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 8787/903, 3655/5316?
Answer: GCF of Numerators as per given numbers 8787/903, 3655/5316 is
GCF of Numerators i.e. for 8787,3655 is 1
LCM of denominators i.e. for 903,5316 is 1600116.
Thus, GCF of Fractions is 1/1600116.Finally, GCF of Fractions for 8787/903, 3655/5316 is 1/1600116.