GCF of 1327/161, 1982/933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1327/161, 1982/933 i.e 1/150213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1327/161, 1982/933.
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 1327/161,1982/933?
Given fractions are 1327/161,1982/933
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 1327/161,1982/933, numerators are 1327,1982
Denominators are 161,933
The GCF of 1327,1982 is 1 .
LCM of 161,933 is 150213.
The greatest common factor of 1327/161,1982/933 = [GCF of 1327,1982]/[LCM of 161,933]= 1/150213
Therefore, the GCF of 1327/161,1982/933 is 1/150213.
To find the highest common factor of 1327,1982, we have to find the factors of both numbers and list the highest common factor.
The factors of 1327 are 1, 1327
The factors of 1982 are 1, 2, 991, 1982
The HCF of 1327,1982 is 1.
Lets's calculate GCF of 1327,1982
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1327,1982 By Matching Biggest Common Factor Method
Now, list down the factors of 1327
:1,1327
Now, list down the factors of 1982
:1,2,991,1982
Greatest Common Factor
We found the factors 1327,1982 . The biggest common factor number is the GCF number.
So the greatest common factor 1327,1982 is 1.
Lets's calculate LCM of 161,933
Given numbers has no common factors except 1. So, there LCM is their product i.e 150213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150213
Therefore, the GCF of Fractions 1327/161,1982/933 is 1/150213
Least Common Multiple of 161,933 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 161,933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(161,933) x common factors =1 x 1 = 1
LCM(161,933) = ( 161 × 933 ) / 1
LCM(161,933) = 150213 / 1
LCM(161,933) = 150213
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FAQs on GCF of Fractions of 1327/161, 1982/933
1. What is the HCF of 1327,1982?
The HCF of 1327,1982 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 1327/161, 1982/933?
Answer: GCF of Numerators as per given numbers 1327/161, 1982/933 is
GCF of Numerators i.e. for 1327,1982 is 1
LCM of denominators i.e. for 161,933 is 150213.
Thus, GCF of Fractions is 1/150213.Finally, GCF of Fractions for 1327/161, 1982/933 is 1/150213.