GCF of 922/64, 533/1665
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 922/64, 533/1665 i.e 1/106560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 922/64, 533/1665.
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 922/64,533/1665?
Given fractions are 922/64,533/1665
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 922/64,533/1665, numerators are 922,533
Denominators are 64,1665
The GCF of 922,533 is 1 .
LCM of 64,1665 is 106560.
The greatest common factor of 922/64,533/1665 = [GCF of 922,533]/[LCM of 64,1665]= 1/106560
Therefore, the GCF of 922/64,533/1665 is 1/106560.
To find the highest common factor of 922,533, we have to find the factors of both numbers and list the highest common factor.
The factors of 922 are 1, 2, 461, 922
The factors of 533 are 1, 13, 41, 533
The HCF of 922,533 is 1.
Lets's calculate GCF of 922,533
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 922,533 By Matching Biggest Common Factor Method
Now, list down the factors of 922
:1,2,461,922
Now, list down the factors of 533
:1,13,41,533
Greatest Common Factor
We found the factors 922,533 . The biggest common factor number is the GCF number.
So the greatest common factor 922,533 is 1.
Lets's calculate LCM of 64,1665
Given numbers has no common factors except 1. So, there LCM is their product i.e 106560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106560
Therefore, the GCF of Fractions 922/64,533/1665 is 1/106560
Least Common Multiple of 64,1665 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 64,1665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,1665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,1665) x common factors =1 x 1 = 1
LCM(64,1665) = ( 64 × 1665 ) / 1
LCM(64,1665) = 106560 / 1
LCM(64,1665) = 106560
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FAQs on GCF of Fractions of 922/64, 533/1665
1. What is the HCF of 922,533?
The HCF of 922,533 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 922/64, 533/1665?
Answer: GCF of Numerators as per given numbers 922/64, 533/1665 is
GCF of Numerators i.e. for 922,533 is 1
LCM of denominators i.e. for 64,1665 is 106560.
Thus, GCF of Fractions is 1/106560.Finally, GCF of Fractions for 922/64, 533/1665 is 1/106560.