GCF of 8814/740, 6183/894
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8814/740, 6183/894 i.e 3/330780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8814/740, 6183/894.
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 8814/740,6183/894?
Given fractions are 8814/740,6183/894
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 8814/740,6183/894, numerators are 8814,6183
Denominators are 740,894
The GCF of 8814,6183 is 3 .
LCM of 740,894 is 330780.
The greatest common factor of 8814/740,6183/894 = [GCF of 8814,6183]/[LCM of 740,894]= 3/330780
Therefore, the GCF of 8814/740,6183/894 is 3/330780.
To find the highest common factor of 8814,6183, we have to find the factors of both numbers and list the highest common factor.
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The factors of 6183 are 1, 3, 9, 27, 229, 687, 2061, 6183
The HCF of 8814,6183 is 3.
Lets's calculate GCF of 8814,6183
| 3 | 8814, 6183 |
| 2938, 2061 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8814,6183 By Matching Biggest Common Factor Method
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Now, list down the factors of 6183
:1,3,9,27,229,687,2061,6183
Greatest Common Factor
We found the factors 8814,6183 . The biggest common factor number is the GCF number.
So the greatest common factor 8814,6183 is 3.
Lets's calculate LCM of 740,894
| 2 | 740, 894 |
| 370, 447 |
∴ So the LCM of the given numbers is 2 x 370 x 447 = 330780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/330780
Therefore, the GCF of Fractions 8814/740,6183/894 is 3/330780
Least Common Multiple of 740,894 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 740,894 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(740,894) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(740,894) x common factors =2 x 1 = 2
LCM(740,894) = ( 740 × 894 ) / 2
LCM(740,894) = 661560 / 2
LCM(740,894) = 330780
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8814/740, 6183/894
1. What is the HCF of 8814,6183?
The HCF of 8814,6183 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 8814/740, 6183/894?
Answer: GCF of Numerators as per given numbers 8814/740, 6183/894 is
GCF of Numerators i.e. for 8814,6183 is 3
LCM of denominators i.e. for 740,894 is 330780.
Thus, GCF of Fractions is 3/330780.Finally, GCF of Fractions for 8814/740, 6183/894 is 3/330780.