GCF of 1641/157, 9362/517
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1641/157, 9362/517 i.e 1/81169 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1641/157, 9362/517.
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 1641/157,9362/517?
Given fractions are 1641/157,9362/517
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 1641/157,9362/517, numerators are 1641,9362
Denominators are 157,517
The GCF of 1641,9362 is 1 .
LCM of 157,517 is 81169.
The greatest common factor of 1641/157,9362/517 = [GCF of 1641,9362]/[LCM of 157,517]= 1/81169
Therefore, the GCF of 1641/157,9362/517 is 1/81169.
To find the highest common factor of 1641,9362, we have to find the factors of both numbers and list the highest common factor.
The factors of 1641 are 1, 3, 547, 1641
The factors of 9362 are 1, 2, 31, 62, 151, 302, 4681, 9362
The HCF of 1641,9362 is 1.
Lets's calculate GCF of 1641,9362
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1641,9362 By Matching Biggest Common Factor Method
Now, list down the factors of 1641
:1,3,547,1641
Now, list down the factors of 9362
:1,2,31,62,151,302,4681,9362
Greatest Common Factor
We found the factors 1641,9362 . The biggest common factor number is the GCF number.
So the greatest common factor 1641,9362 is 1.
Lets's calculate LCM of 157,517
Given numbers has no common factors except 1. So, there LCM is their product i.e 81169
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81169
Therefore, the GCF of Fractions 1641/157,9362/517 is 1/81169
Least Common Multiple of 157,517 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 157,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,517) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,517) x common factors =1 x 1 = 1
LCM(157,517) = ( 157 × 517 ) / 1
LCM(157,517) = 81169 / 1
LCM(157,517) = 81169
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FAQs on GCF of Fractions of 1641/157, 9362/517
1. What is the HCF of 1641,9362?
The HCF of 1641,9362 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 1641/157, 9362/517?
Answer: GCF of Numerators as per given numbers 1641/157, 9362/517 is
GCF of Numerators i.e. for 1641,9362 is 1
LCM of denominators i.e. for 157,517 is 81169.
Thus, GCF of Fractions is 1/81169.Finally, GCF of Fractions for 1641/157, 9362/517 is 1/81169.