GCF of 2159/764, 1793/184
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2159/764, 1793/184 i.e 1/35144 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2159/764, 1793/184.
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 2159/764,1793/184?
Given fractions are 2159/764,1793/184
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 2159/764,1793/184, numerators are 2159,1793
Denominators are 764,184
The GCF of 2159,1793 is 1 .
LCM of 764,184 is 35144.
The greatest common factor of 2159/764,1793/184 = [GCF of 2159,1793]/[LCM of 764,184]= 1/35144
Therefore, the GCF of 2159/764,1793/184 is 1/35144.
To find the highest common factor of 2159,1793, we have to find the factors of both numbers and list the highest common factor.
The factors of 2159 are 1, 17, 127, 2159
The factors of 1793 are 1, 11, 163, 1793
The HCF of 2159,1793 is 1.
Lets's calculate GCF of 2159,1793
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2159,1793 By Matching Biggest Common Factor Method
Now, list down the factors of 2159
:1,17,127,2159
Now, list down the factors of 1793
:1,11,163,1793
Greatest Common Factor
We found the factors 2159,1793 . The biggest common factor number is the GCF number.
So the greatest common factor 2159,1793 is 1.
Lets's calculate LCM of 764,184
| 2 | 764, 184 |
| 2 | 382, 92 |
| 191, 46 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 46 = 35144
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35144
Therefore, the GCF of Fractions 2159/764,1793/184 is 1/35144
Least Common Multiple of 764,184 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 764,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,184) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,184) x common factors =4 x 1 = 4
LCM(764,184) = ( 764 × 184 ) / 4
LCM(764,184) = 140576 / 4
LCM(764,184) = 35144
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FAQs on GCF of Fractions of 2159/764, 1793/184
1. What is the HCF of 2159,1793?
The HCF of 2159,1793 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 2159/764, 1793/184?
Answer: GCF of Numerators as per given numbers 2159/764, 1793/184 is
GCF of Numerators i.e. for 2159,1793 is 1
LCM of denominators i.e. for 764,184 is 35144.
Thus, GCF of Fractions is 1/35144.Finally, GCF of Fractions for 2159/764, 1793/184 is 1/35144.