GCF of 367/79, 927/5979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 367/79, 927/5979 i.e 1/472341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 367/79, 927/5979.
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 367/79,927/5979?
Given fractions are 367/79,927/5979
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 367/79,927/5979, numerators are 367,927
Denominators are 79,5979
The GCF of 367,927 is 1 .
LCM of 79,5979 is 472341.
The greatest common factor of 367/79,927/5979 = [GCF of 367,927]/[LCM of 79,5979]= 1/472341
Therefore, the GCF of 367/79,927/5979 is 1/472341.
To find the highest common factor of 367,927, we have to find the factors of both numbers and list the highest common factor.
The factors of 367 are 1, 367
The factors of 927 are 1, 3, 9, 103, 309, 927
The HCF of 367,927 is 1.
Lets's calculate GCF of 367,927
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 367,927 By Matching Biggest Common Factor Method
Now, list down the factors of 367
:1,367
Now, list down the factors of 927
:1,3,9,103,309,927
Greatest Common Factor
We found the factors 367,927 . The biggest common factor number is the GCF number.
So the greatest common factor 367,927 is 1.
Lets's calculate LCM of 79,5979
Given numbers has no common factors except 1. So, there LCM is their product i.e 472341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/472341
Therefore, the GCF of Fractions 367/79,927/5979 is 1/472341
Least Common Multiple of 79,5979 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 79,5979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,5979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(79,5979) x common factors =1 x 1 = 1
LCM(79,5979) = ( 79 × 5979 ) / 1
LCM(79,5979) = 472341 / 1
LCM(79,5979) = 472341
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FAQs on GCF of Fractions of 367/79, 927/5979
1. What is the HCF of 367,927?
The HCF of 367,927 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 367/79, 927/5979?
Answer: GCF of Numerators as per given numbers 367/79, 927/5979 is
GCF of Numerators i.e. for 367,927 is 1
LCM of denominators i.e. for 79,5979 is 472341.
Thus, GCF of Fractions is 1/472341.Finally, GCF of Fractions for 367/79, 927/5979 is 1/472341.