GCF of 5817/765, 2236/391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5817/765, 2236/391 i.e 1/17595 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5817/765, 2236/391.
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 5817/765,2236/391?
Given fractions are 5817/765,2236/391
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 5817/765,2236/391, numerators are 5817,2236
Denominators are 765,391
The GCF of 5817,2236 is 1 .
LCM of 765,391 is 17595.
The greatest common factor of 5817/765,2236/391 = [GCF of 5817,2236]/[LCM of 765,391]= 1/17595
Therefore, the GCF of 5817/765,2236/391 is 1/17595.
To find the highest common factor of 5817,2236, we have to find the factors of both numbers and list the highest common factor.
The factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817
The factors of 2236 are 1, 2, 4, 13, 26, 43, 52, 86, 172, 559, 1118, 2236
The HCF of 5817,2236 is 1.
Lets's calculate GCF of 5817,2236
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5817,2236 By Matching Biggest Common Factor Method
Now, list down the factors of 5817
:1,3,7,21,277,831,1939,5817
Now, list down the factors of 2236
:1,2,4,13,26,43,52,86,172,559,1118,2236
Greatest Common Factor
We found the factors 5817,2236 . The biggest common factor number is the GCF number.
So the greatest common factor 5817,2236 is 1.
Lets's calculate LCM of 765,391
| 17 | 765, 391 |
| 45, 23 |
∴ So the LCM of the given numbers is 17 x 45 x 23 = 17595
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17595
Therefore, the GCF of Fractions 5817/765,2236/391 is 1/17595
Least Common Multiple of 765,391 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 765,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,391) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(765,391) x common factors =17 x 1 = 17
LCM(765,391) = ( 765 × 391 ) / 17
LCM(765,391) = 299115 / 17
LCM(765,391) = 17595
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FAQs on GCF of Fractions of 5817/765, 2236/391
1. What is the HCF of 5817,2236?
The HCF of 5817,2236 is 1
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 5817/765, 2236/391?
Answer: GCF of Numerators as per given numbers 5817/765, 2236/391 is
GCF of Numerators i.e. for 5817,2236 is 1
LCM of denominators i.e. for 765,391 is 17595.
Thus, GCF of Fractions is 1/17595.Finally, GCF of Fractions for 5817/765, 2236/391 is 1/17595.