GCF of 391/259, 2024/380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 391/259, 2024/380 i.e 23/98420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 391/259, 2024/380.
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 391/259,2024/380?
Given fractions are 391/259,2024/380
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 391/259,2024/380, numerators are 391,2024
Denominators are 259,380
The GCF of 391,2024 is 23 .
LCM of 259,380 is 98420.
The greatest common factor of 391/259,2024/380 = [GCF of 391,2024]/[LCM of 259,380]= 23/98420
Therefore, the GCF of 391/259,2024/380 is 23/98420.
To find the highest common factor of 391,2024, we have to find the factors of both numbers and list the highest common factor.
The factors of 391 are 1, 17, 23, 391
The factors of 2024 are 1, 2, 4, 8, 11, 22, 23, 44, 46, 88, 92, 184, 253, 506, 1012, 2024
The HCF of 391,2024 is 23.
Lets's calculate GCF of 391,2024
| 23 | 391, 2024 |
| 17, 88 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 391,2024 By Matching Biggest Common Factor Method
Now, list down the factors of 391
:1,17,23,391
Now, list down the factors of 2024
:1,2,4,8,11,22,23,44,46,88,92,184,253,506,1012,2024
Greatest Common Factor
We found the factors 391,2024 . The biggest common factor number is the GCF number.
So the greatest common factor 391,2024 is 23.
Lets's calculate LCM of 259,380
Given numbers has no common factors except 1. So, there LCM is their product i.e 98420
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/98420
Therefore, the GCF of Fractions 391/259,2024/380 is 23/98420
Least Common Multiple of 259,380 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 259,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(259,380) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(259,380) x common factors =1 x 1 = 1
LCM(259,380) = ( 259 × 380 ) / 1
LCM(259,380) = 98420 / 1
LCM(259,380) = 98420
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FAQs on GCF of Fractions of 391/259, 2024/380
1. What is the HCF of 391,2024?
The HCF of 391,2024 is 23
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 391/259, 2024/380?
Answer: GCF of Numerators as per given numbers 391/259, 2024/380 is
GCF of Numerators i.e. for 391,2024 is 23
LCM of denominators i.e. for 259,380 is 98420.
Thus, GCF of Fractions is 23/98420.Finally, GCF of Fractions for 391/259, 2024/380 is 23/98420.