GCF of 1726/431, 2152/365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1726/431, 2152/365 i.e 2/157315 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1726/431, 2152/365.
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 1726/431,2152/365?
Given fractions are 1726/431,2152/365
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 1726/431,2152/365, numerators are 1726,2152
Denominators are 431,365
The GCF of 1726,2152 is 2 .
LCM of 431,365 is 157315.
The greatest common factor of 1726/431,2152/365 = [GCF of 1726,2152]/[LCM of 431,365]= 2/157315
Therefore, the GCF of 1726/431,2152/365 is 2/157315.
To find the highest common factor of 1726,2152, we have to find the factors of both numbers and list the highest common factor.
The factors of 1726 are 1, 2, 863, 1726
The factors of 2152 are 1, 2, 4, 8, 269, 538, 1076, 2152
The HCF of 1726,2152 is 2.
Lets's calculate GCF of 1726,2152
| 2 | 1726, 2152 |
| 863, 1076 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1726,2152 By Matching Biggest Common Factor Method
Now, list down the factors of 1726
:1,2,863,1726
Now, list down the factors of 2152
:1,2,4,8,269,538,1076,2152
Greatest Common Factor
We found the factors 1726,2152 . The biggest common factor number is the GCF number.
So the greatest common factor 1726,2152 is 2.
Lets's calculate LCM of 431,365
Given numbers has no common factors except 1. So, there LCM is their product i.e 157315
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/157315
Therefore, the GCF of Fractions 1726/431,2152/365 is 2/157315
Least Common Multiple of 431,365 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 431,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(431,365) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(431,365) x common factors =1 x 1 = 1
LCM(431,365) = ( 431 × 365 ) / 1
LCM(431,365) = 157315 / 1
LCM(431,365) = 157315
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FAQs on GCF of Fractions of 1726/431, 2152/365
1. What is the HCF of 1726,2152?
The HCF of 1726,2152 is 2
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 1726/431, 2152/365?
Answer: GCF of Numerators as per given numbers 1726/431, 2152/365 is
GCF of Numerators i.e. for 1726,2152 is 2
LCM of denominators i.e. for 431,365 is 157315.
Thus, GCF of Fractions is 2/157315.Finally, GCF of Fractions for 1726/431, 2152/365 is 2/157315.