GCF of 8067/978, 2160/1346
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8067/978, 2160/1346 i.e 3/658194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8067/978, 2160/1346.
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 8067/978,2160/1346?
Given fractions are 8067/978,2160/1346
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 8067/978,2160/1346, numerators are 8067,2160
Denominators are 978,1346
The GCF of 8067,2160 is 3 .
LCM of 978,1346 is 658194.
The greatest common factor of 8067/978,2160/1346 = [GCF of 8067,2160]/[LCM of 978,1346]= 3/658194
Therefore, the GCF of 8067/978,2160/1346 is 3/658194.
To find the highest common factor of 8067,2160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8067 are 1, 3, 2689, 8067
The factors of 2160 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 36, 40, 45, 48, 54, 60, 72, 80, 90, 108, 120, 135, 144, 180, 216, 240, 270, 360, 432, 540, 720, 1080, 2160
The HCF of 8067,2160 is 3.
Lets's calculate GCF of 8067,2160
| 3 | 8067, 2160 |
| 2689, 720 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8067,2160 By Matching Biggest Common Factor Method
Now, list down the factors of 8067
:1,3,2689,8067
Now, list down the factors of 2160
:1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,27,30,36,40,45,48,54,60,72,80,90,108,120,135,144,180,216,240,270,360,432,540,720,1080,2160
Greatest Common Factor
We found the factors 8067,2160 . The biggest common factor number is the GCF number.
So the greatest common factor 8067,2160 is 3.
Lets's calculate LCM of 978,1346
| 2 | 978, 1346 |
| 489, 673 |
∴ So the LCM of the given numbers is 2 x 489 x 673 = 658194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/658194
Therefore, the GCF of Fractions 8067/978,2160/1346 is 3/658194
Least Common Multiple of 978,1346 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 978,1346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,1346) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,1346) x common factors =2 x 1 = 2
LCM(978,1346) = ( 978 × 1346 ) / 2
LCM(978,1346) = 1316388 / 2
LCM(978,1346) = 658194
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 8067/978, 2160/1346
1. What is the HCF of 8067,2160?
The HCF of 8067,2160 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 8067/978, 2160/1346?
Answer: GCF of Numerators as per given numbers 8067/978, 2160/1346 is
GCF of Numerators i.e. for 8067,2160 is 3
LCM of denominators i.e. for 978,1346 is 658194.
Thus, GCF of Fractions is 3/658194.Finally, GCF of Fractions for 8067/978, 2160/1346 is 3/658194.