GCF of 8886/440, 4596/682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8886/440, 4596/682 i.e 6/13640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8886/440, 4596/682.
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 8886/440,4596/682?
Given fractions are 8886/440,4596/682
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 8886/440,4596/682, numerators are 8886,4596
Denominators are 440,682
The GCF of 8886,4596 is 6 .
LCM of 440,682 is 13640.
The greatest common factor of 8886/440,4596/682 = [GCF of 8886,4596]/[LCM of 440,682]= 6/13640
Therefore, the GCF of 8886/440,4596/682 is 6/13640.
To find the highest common factor of 8886,4596, we have to find the factors of both numbers and list the highest common factor.
The factors of 8886 are 1, 2, 3, 6, 1481, 2962, 4443, 8886
The factors of 4596 are 1, 2, 3, 4, 6, 12, 383, 766, 1149, 1532, 2298, 4596
The HCF of 8886,4596 is 6.
Lets's calculate GCF of 8886,4596
| 2 | 8886, 4596 |
| 3 | 4443, 2298 |
| 1481, 766 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8886,4596 By Matching Biggest Common Factor Method
Now, list down the factors of 8886
:1,2,3,6,1481,2962,4443,8886
Now, list down the factors of 4596
:1,2,3,4,6,12,383,766,1149,1532,2298,4596
Greatest Common Factor
We found the factors 8886,4596 . The biggest common factor number is the GCF number.
So the greatest common factor 8886,4596 is 6.
Lets's calculate LCM of 440,682
| 2 | 440, 682 |
| 11 | 220, 341 |
| 20, 31 |
∴ So the LCM of the given numbers is 2 x 11 x 20 x 31 = 13640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/13640
Therefore, the GCF of Fractions 8886/440,4596/682 is 6/13640
Least Common Multiple of 440,682 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 440,682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,682) = 22
common factors(in case of two or more numbers have common factors) = 1
GCF(440,682) x common factors =22 x 1 = 22
LCM(440,682) = ( 440 × 682 ) / 22
LCM(440,682) = 300080 / 22
LCM(440,682) = 13640
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8886/440, 4596/682
1. What is the HCF of 8886,4596?
The HCF of 8886,4596 is 6
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 8886/440, 4596/682?
Answer: GCF of Numerators as per given numbers 8886/440, 4596/682 is
GCF of Numerators i.e. for 8886,4596 is 6
LCM of denominators i.e. for 440,682 is 13640.
Thus, GCF of Fractions is 6/13640.Finally, GCF of Fractions for 8886/440, 4596/682 is 6/13640.