GCF of 1791/689, 1131/232
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1791/689, 1131/232 i.e 3/159848 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1791/689, 1131/232.
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 1791/689,1131/232?
Given fractions are 1791/689,1131/232
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 1791/689,1131/232, numerators are 1791,1131
Denominators are 689,232
The GCF of 1791,1131 is 3 .
LCM of 689,232 is 159848.
The greatest common factor of 1791/689,1131/232 = [GCF of 1791,1131]/[LCM of 689,232]= 3/159848
Therefore, the GCF of 1791/689,1131/232 is 3/159848.
To find the highest common factor of 1791,1131, we have to find the factors of both numbers and list the highest common factor.
The factors of 1791 are 1, 3, 9, 199, 597, 1791
The factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131
The HCF of 1791,1131 is 3.
Lets's calculate GCF of 1791,1131
| 3 | 1791, 1131 |
| 597, 377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1791,1131 By Matching Biggest Common Factor Method
Now, list down the factors of 1791
:1,3,9,199,597,1791
Now, list down the factors of 1131
:1,3,13,29,39,87,377,1131
Greatest Common Factor
We found the factors 1791,1131 . The biggest common factor number is the GCF number.
So the greatest common factor 1791,1131 is 3.
Lets's calculate LCM of 689,232
Given numbers has no common factors except 1. So, there LCM is their product i.e 159848
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159848
Therefore, the GCF of Fractions 1791/689,1131/232 is 3/159848
Least Common Multiple of 689,232 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 689,232 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,232) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,232) x common factors =1 x 1 = 1
LCM(689,232) = ( 689 × 232 ) / 1
LCM(689,232) = 159848 / 1
LCM(689,232) = 159848
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FAQs on GCF of Fractions of 1791/689, 1131/232
1. What is the HCF of 1791,1131?
The HCF of 1791,1131 is 3
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 1791/689, 1131/232?
Answer: GCF of Numerators as per given numbers 1791/689, 1131/232 is
GCF of Numerators i.e. for 1791,1131 is 3
LCM of denominators i.e. for 689,232 is 159848.
Thus, GCF of Fractions is 3/159848.Finally, GCF of Fractions for 1791/689, 1131/232 is 3/159848.