GCF of 8842/340, 6810/1576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8842/340, 6810/1576 i.e 2/133960 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8842/340, 6810/1576.
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 8842/340,6810/1576?
Given fractions are 8842/340,6810/1576
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 8842/340,6810/1576, numerators are 8842,6810
Denominators are 340,1576
The GCF of 8842,6810 is 2 .
LCM of 340,1576 is 133960.
The greatest common factor of 8842/340,6810/1576 = [GCF of 8842,6810]/[LCM of 340,1576]= 2/133960
Therefore, the GCF of 8842/340,6810/1576 is 2/133960.
To find the highest common factor of 8842,6810, we have to find the factors of both numbers and list the highest common factor.
The factors of 8842 are 1, 2, 4421, 8842
The factors of 6810 are 1, 2, 3, 5, 6, 10, 15, 30, 227, 454, 681, 1135, 1362, 2270, 3405, 6810
The HCF of 8842,6810 is 2.
Lets's calculate GCF of 8842,6810
| 2 | 8842, 6810 |
| 4421, 3405 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8842,6810 By Matching Biggest Common Factor Method
Now, list down the factors of 8842
:1,2,4421,8842
Now, list down the factors of 6810
:1,2,3,5,6,10,15,30,227,454,681,1135,1362,2270,3405,6810
Greatest Common Factor
We found the factors 8842,6810 . The biggest common factor number is the GCF number.
So the greatest common factor 8842,6810 is 2.
Lets's calculate LCM of 340,1576
| 2 | 340, 1576 |
| 2 | 170, 788 |
| 85, 394 |
∴ So the LCM of the given numbers is 2 x 2 x 85 x 394 = 133960
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133960
Therefore, the GCF of Fractions 8842/340,6810/1576 is 2/133960
Least Common Multiple of 340,1576 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 340,1576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,1576) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(340,1576) x common factors =4 x 1 = 4
LCM(340,1576) = ( 340 × 1576 ) / 4
LCM(340,1576) = 535840 / 4
LCM(340,1576) = 133960
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8842/340, 6810/1576
1. What is the HCF of 8842,6810?
The HCF of 8842,6810 is 2
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 8842/340, 6810/1576?
Answer: GCF of Numerators as per given numbers 8842/340, 6810/1576 is
GCF of Numerators i.e. for 8842,6810 is 2
LCM of denominators i.e. for 340,1576 is 133960.
Thus, GCF of Fractions is 2/133960.Finally, GCF of Fractions for 8842/340, 6810/1576 is 2/133960.