GCF of 2379/790, 8086/1315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2379/790, 8086/1315 i.e 13/207770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2379/790, 8086/1315.
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 2379/790,8086/1315?
Given fractions are 2379/790,8086/1315
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 2379/790,8086/1315, numerators are 2379,8086
Denominators are 790,1315
The GCF of 2379,8086 is 13 .
LCM of 790,1315 is 207770.
The greatest common factor of 2379/790,8086/1315 = [GCF of 2379,8086]/[LCM of 790,1315]= 13/207770
Therefore, the GCF of 2379/790,8086/1315 is 13/207770.
To find the highest common factor of 2379,8086, we have to find the factors of both numbers and list the highest common factor.
The factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379
The factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086
The HCF of 2379,8086 is 13.
Lets's calculate GCF of 2379,8086
| 13 | 2379, 8086 |
| 183, 622 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2379,8086 By Matching Biggest Common Factor Method
Now, list down the factors of 2379
:1,3,13,39,61,183,793,2379
Now, list down the factors of 8086
:1,2,13,26,311,622,4043,8086
Greatest Common Factor
We found the factors 2379,8086 . The biggest common factor number is the GCF number.
So the greatest common factor 2379,8086 is 13.
Lets's calculate LCM of 790,1315
| 5 | 790, 1315 |
| 158, 263 |
∴ So the LCM of the given numbers is 5 x 158 x 263 = 207770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/207770
Therefore, the GCF of Fractions 2379/790,8086/1315 is 13/207770
Least Common Multiple of 790,1315 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 790,1315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,1315) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(790,1315) x common factors =5 x 1 = 5
LCM(790,1315) = ( 790 × 1315 ) / 5
LCM(790,1315) = 1038850 / 5
LCM(790,1315) = 207770
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FAQs on GCF of Fractions of 2379/790, 8086/1315
1. What is the HCF of 2379,8086?
The HCF of 2379,8086 is 13
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 2379/790, 8086/1315?
Answer: GCF of Numerators as per given numbers 2379/790, 8086/1315 is
GCF of Numerators i.e. for 2379,8086 is 13
LCM of denominators i.e. for 790,1315 is 207770.
Thus, GCF of Fractions is 13/207770.Finally, GCF of Fractions for 2379/790, 8086/1315 is 13/207770.