GCF of 8890/863, 9780/2614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8890/863, 9780/2614 i.e 10/2255882 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8890/863, 9780/2614.
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 8890/863,9780/2614?
Given fractions are 8890/863,9780/2614
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 8890/863,9780/2614, numerators are 8890,9780
Denominators are 863,2614
The GCF of 8890,9780 is 10 .
LCM of 863,2614 is 2255882.
The greatest common factor of 8890/863,9780/2614 = [GCF of 8890,9780]/[LCM of 863,2614]= 10/2255882
Therefore, the GCF of 8890/863,9780/2614 is 10/2255882.
To find the highest common factor of 8890,9780, we have to find the factors of both numbers and list the highest common factor.
The factors of 8890 are 1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445, 8890
The factors of 9780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 163, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4890, 9780
The HCF of 8890,9780 is 10.
Lets's calculate GCF of 8890,9780
| 2 | 8890, 9780 |
| 5 | 4445, 4890 |
| 889, 978 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8890,9780 By Matching Biggest Common Factor Method
Now, list down the factors of 8890
:1,2,5,7,10,14,35,70,127,254,635,889,1270,1778,4445,8890
Now, list down the factors of 9780
:1,2,3,4,5,6,10,12,15,20,30,60,163,326,489,652,815,978,1630,1956,2445,3260,4890,9780
Greatest Common Factor
We found the factors 8890,9780 . The biggest common factor number is the GCF number.
So the greatest common factor 8890,9780 is 10.
Lets's calculate LCM of 863,2614
Given numbers has no common factors except 1. So, there LCM is their product i.e 2255882
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2255882
Therefore, the GCF of Fractions 8890/863,9780/2614 is 10/2255882
Least Common Multiple of 863,2614 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 863,2614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,2614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,2614) x common factors =1 x 1 = 1
LCM(863,2614) = ( 863 × 2614 ) / 1
LCM(863,2614) = 2255882 / 1
LCM(863,2614) = 2255882
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8890/863, 9780/2614
1. What is the HCF of 8890,9780?
The HCF of 8890,9780 is 10
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 8890/863, 9780/2614?
Answer: GCF of Numerators as per given numbers 8890/863, 9780/2614 is
GCF of Numerators i.e. for 8890,9780 is 10
LCM of denominators i.e. for 863,2614 is 2255882.
Thus, GCF of Fractions is 10/2255882.Finally, GCF of Fractions for 8890/863, 9780/2614 is 10/2255882.