GCF of 8218/140, 2380/5766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8218/140, 2380/5766 i.e 14/403620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8218/140, 2380/5766.
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 8218/140,2380/5766?
Given fractions are 8218/140,2380/5766
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 8218/140,2380/5766, numerators are 8218,2380
Denominators are 140,5766
The GCF of 8218,2380 is 14 .
LCM of 140,5766 is 403620.
The greatest common factor of 8218/140,2380/5766 = [GCF of 8218,2380]/[LCM of 140,5766]= 14/403620
Therefore, the GCF of 8218/140,2380/5766 is 14/403620.
To find the highest common factor of 8218,2380, we have to find the factors of both numbers and list the highest common factor.
The factors of 8218 are 1, 2, 7, 14, 587, 1174, 4109, 8218
The factors of 2380 are 1, 2, 4, 5, 7, 10, 14, 17, 20, 28, 34, 35, 68, 70, 85, 119, 140, 170, 238, 340, 476, 595, 1190, 2380
The HCF of 8218,2380 is 14.
Lets's calculate GCF of 8218,2380
| 2 | 8218, 2380 |
| 7 | 4109, 1190 |
| 587, 170 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 8218,2380 By Matching Biggest Common Factor Method
Now, list down the factors of 8218
:1,2,7,14,587,1174,4109,8218
Now, list down the factors of 2380
:1,2,4,5,7,10,14,17,20,28,34,35,68,70,85,119,140,170,238,340,476,595,1190,2380
Greatest Common Factor
We found the factors 8218,2380 . The biggest common factor number is the GCF number.
So the greatest common factor 8218,2380 is 14.
Lets's calculate LCM of 140,5766
| 2 | 140, 5766 |
| 70, 2883 |
∴ So the LCM of the given numbers is 2 x 70 x 2883 = 403620
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/403620
Therefore, the GCF of Fractions 8218/140,2380/5766 is 14/403620
Least Common Multiple of 140,5766 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 140,5766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(140,5766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(140,5766) x common factors =2 x 1 = 2
LCM(140,5766) = ( 140 × 5766 ) / 2
LCM(140,5766) = 807240 / 2
LCM(140,5766) = 403620
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FAQs on GCF of Fractions of 8218/140, 2380/5766
1. What is the HCF of 8218,2380?
The HCF of 8218,2380 is 14
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 8218/140, 2380/5766?
Answer: GCF of Numerators as per given numbers 8218/140, 2380/5766 is
GCF of Numerators i.e. for 8218,2380 is 14
LCM of denominators i.e. for 140,5766 is 403620.
Thus, GCF of Fractions is 14/403620.Finally, GCF of Fractions for 8218/140, 2380/5766 is 14/403620.