GCF of 161/523, 917/804
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 161/523, 917/804 i.e 7/420492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 161/523, 917/804.
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 161/523,917/804?
Given fractions are 161/523,917/804
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 161/523,917/804, numerators are 161,917
Denominators are 523,804
The GCF of 161,917 is 7 .
LCM of 523,804 is 420492.
The greatest common factor of 161/523,917/804 = [GCF of 161,917]/[LCM of 523,804]= 7/420492
Therefore, the GCF of 161/523,917/804 is 7/420492.
To find the highest common factor of 161,917, we have to find the factors of both numbers and list the highest common factor.
The factors of 161 are 1, 7, 23, 161
The factors of 917 are 1, 7, 131, 917
The HCF of 161,917 is 7.
Lets's calculate GCF of 161,917
| 7 | 161, 917 |
| 23, 131 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 161,917 By Matching Biggest Common Factor Method
Now, list down the factors of 161
:1,7,23,161
Now, list down the factors of 917
:1,7,131,917
Greatest Common Factor
We found the factors 161,917 . The biggest common factor number is the GCF number.
So the greatest common factor 161,917 is 7.
Lets's calculate LCM of 523,804
Given numbers has no common factors except 1. So, there LCM is their product i.e 420492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/420492
Therefore, the GCF of Fractions 161/523,917/804 is 7/420492
Least Common Multiple of 523,804 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 523,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,804) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,804) x common factors =1 x 1 = 1
LCM(523,804) = ( 523 × 804 ) / 1
LCM(523,804) = 420492 / 1
LCM(523,804) = 420492
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FAQs on GCF of Fractions of 161/523, 917/804
1. What is the HCF of 161,917?
The HCF of 161,917 is 7
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 161/523, 917/804?
Answer: GCF of Numerators as per given numbers 161/523, 917/804 is
GCF of Numerators i.e. for 161,917 is 7
LCM of denominators i.e. for 523,804 is 420492.
Thus, GCF of Fractions is 7/420492.Finally, GCF of Fractions for 161/523, 917/804 is 7/420492.