GCF of 27/64, 82/83, 930/767
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 27/64, 82/83, 930/767 i.e 1/4074304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 27/64, 82/83, 930/767.
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 27/64,82/83,930/767?
Given fractions are 27/64,82/83,930/767
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 27/64,82/83,930/767, numerators are 27,82,930
Denominators are 64,83,767
The GCF of 27,82,930 is 1 .
LCM of 64,83,767 is 4074304.
The greatest common factor of 27/64,82/83,930/767 = [GCF of 27,82,930]/[LCM of 64,83,767]= 1/4074304
Therefore, the GCF of 27/64,82/83,930/767 is 1/4074304.
To find the highest common factor of 27,82,930, we have to find the factors of both numbers and list the highest common factor.
The factors of 27 are 1, 3, 9, 27
The factors of 82 are 1, 2, 41, 82
The factors of 930 are 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
The HCF of 27,82,930 is 1.
Lets's calculate GCF of 27,82,930
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 27,82,930 By Matching Biggest Common Factor Method
Now, list down the factors of 27
:1,3,9,27
Now, list down the factors of 82
:1,2,41,82
Now, list down the factors of 930
:1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930
Greatest Common Factor
We found the factors 27,82,930 . The biggest common factor number is the GCF number.
So the greatest common factor 27,82,930 is 1.
Lets's calculate LCM of 64,83,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 4074304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4074304
Therefore, the GCF of Fractions 27/64,82/83,930/767 is 1/4074304
Least Common Multiple of 64,83,767 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 64,83,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,83,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,83,767) x common factors =1 x 1 = 1
LCM(64,83,767) = ( 64 × 83 × 767 ) / 1
LCM(64,83,767) = 4074304 / 1
LCM(64,83,767) = 4074304
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FAQs on GCF of Fractions of 27/64, 82/83, 930/767
1. What is the HCF of 27,82,930?
The HCF of 27,82,930 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 27/64, 82/83, 930/767?
Answer: GCF of Numerators as per given numbers 27/64, 82/83, 930/767 is
GCF of Numerators i.e. for 27,82,930 is 1
LCM of denominators i.e. for 64,83,767 is 4074304.
Thus, GCF of Fractions is 1/4074304.Finally, GCF of Fractions for 27/64, 82/83, 930/767 is 1/4074304.