GCF of 8687/563, 4046/8836
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8687/563, 4046/8836 i.e 119/4974668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8687/563, 4046/8836.
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 8687/563,4046/8836?
Given fractions are 8687/563,4046/8836
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 8687/563,4046/8836, numerators are 8687,4046
Denominators are 563,8836
The GCF of 8687,4046 is 119 .
LCM of 563,8836 is 4974668.
The greatest common factor of 8687/563,4046/8836 = [GCF of 8687,4046]/[LCM of 563,8836]= 119/4974668
Therefore, the GCF of 8687/563,4046/8836 is 119/4974668.
To find the highest common factor of 8687,4046, we have to find the factors of both numbers and list the highest common factor.
The factors of 8687 are 1, 7, 17, 73, 119, 511, 1241, 8687
The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
The HCF of 8687,4046 is 119.
Lets's calculate GCF of 8687,4046
| 7 | 8687, 4046 |
| 17 | 1241, 578 |
| 73, 34 |
∴ So the GCF of the given numbers is 7 x 17 = 119
Greatest Common Factor of 8687,4046 By Matching Biggest Common Factor Method
Now, list down the factors of 8687
:1,7,17,73,119,511,1241,8687
Now, list down the factors of 4046
:1,2,7,14,17,34,119,238,289,578,2023,4046
Greatest Common Factor
We found the factors 8687,4046 . The biggest common factor number is the GCF number.
So the greatest common factor 8687,4046 is 119.
Lets's calculate LCM of 563,8836
Given numbers has no common factors except 1. So, there LCM is their product i.e 4974668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 119/4974668
Therefore, the GCF of Fractions 8687/563,4046/8836 is 119/4974668
Least Common Multiple of 563,8836 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 563,8836 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,8836) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,8836) x common factors =1 x 1 = 1
LCM(563,8836) = ( 563 × 8836 ) / 1
LCM(563,8836) = 4974668 / 1
LCM(563,8836) = 4974668
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8687/563, 4046/8836
1. What is the HCF of 8687,4046?
The HCF of 8687,4046 is 119
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 8687/563, 4046/8836?
Answer: GCF of Numerators as per given numbers 8687/563, 4046/8836 is
GCF of Numerators i.e. for 8687,4046 is 119
LCM of denominators i.e. for 563,8836 is 4974668.
Thus, GCF of Fractions is 119/4974668.Finally, GCF of Fractions for 8687/563, 4046/8836 is 119/4974668.