GCF of 2366/817, 2119/5785
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2366/817, 2119/5785 i.e 13/4726345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2366/817, 2119/5785.
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 2366/817,2119/5785?
Given fractions are 2366/817,2119/5785
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 2366/817,2119/5785, numerators are 2366,2119
Denominators are 817,5785
The GCF of 2366,2119 is 13 .
LCM of 817,5785 is 4726345.
The greatest common factor of 2366/817,2119/5785 = [GCF of 2366,2119]/[LCM of 817,5785]= 13/4726345
Therefore, the GCF of 2366/817,2119/5785 is 13/4726345.
To find the highest common factor of 2366,2119, we have to find the factors of both numbers and list the highest common factor.
The factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366
The factors of 2119 are 1, 13, 163, 2119
The HCF of 2366,2119 is 13.
Lets's calculate GCF of 2366,2119
| 13 | 2366, 2119 |
| 182, 163 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 2366,2119 By Matching Biggest Common Factor Method
Now, list down the factors of 2366
:1,2,7,13,14,26,91,169,182,338,1183,2366
Now, list down the factors of 2119
:1,13,163,2119
Greatest Common Factor
We found the factors 2366,2119 . The biggest common factor number is the GCF number.
So the greatest common factor 2366,2119 is 13.
Lets's calculate LCM of 817,5785
Given numbers has no common factors except 1. So, there LCM is their product i.e 4726345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4726345
Therefore, the GCF of Fractions 2366/817,2119/5785 is 13/4726345
Least Common Multiple of 817,5785 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 817,5785 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,5785) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,5785) x common factors =1 x 1 = 1
LCM(817,5785) = ( 817 × 5785 ) / 1
LCM(817,5785) = 4726345 / 1
LCM(817,5785) = 4726345
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FAQs on GCF of Fractions of 2366/817, 2119/5785
1. What is the HCF of 2366,2119?
The HCF of 2366,2119 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 2366/817, 2119/5785?
Answer: GCF of Numerators as per given numbers 2366/817, 2119/5785 is
GCF of Numerators i.e. for 2366,2119 is 13
LCM of denominators i.e. for 817,5785 is 4726345.
Thus, GCF of Fractions is 13/4726345.Finally, GCF of Fractions for 2366/817, 2119/5785 is 13/4726345.