GCF of 8077/361, 6904/927
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8077/361, 6904/927 i.e 1/334647 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8077/361, 6904/927.
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 8077/361,6904/927?
Given fractions are 8077/361,6904/927
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 8077/361,6904/927, numerators are 8077,6904
Denominators are 361,927
The GCF of 8077,6904 is 1 .
LCM of 361,927 is 334647.
The greatest common factor of 8077/361,6904/927 = [GCF of 8077,6904]/[LCM of 361,927]= 1/334647
Therefore, the GCF of 8077/361,6904/927 is 1/334647.
To find the highest common factor of 8077,6904, we have to find the factors of both numbers and list the highest common factor.
The factors of 8077 are 1, 41, 197, 8077
The factors of 6904 are 1, 2, 4, 8, 863, 1726, 3452, 6904
The HCF of 8077,6904 is 1.
Lets's calculate GCF of 8077,6904
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8077,6904 By Matching Biggest Common Factor Method
Now, list down the factors of 8077
:1,41,197,8077
Now, list down the factors of 6904
:1,2,4,8,863,1726,3452,6904
Greatest Common Factor
We found the factors 8077,6904 . The biggest common factor number is the GCF number.
So the greatest common factor 8077,6904 is 1.
Lets's calculate LCM of 361,927
Given numbers has no common factors except 1. So, there LCM is their product i.e 334647
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/334647
Therefore, the GCF of Fractions 8077/361,6904/927 is 1/334647
Least Common Multiple of 361,927 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 361,927 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,927) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,927) x common factors =1 x 1 = 1
LCM(361,927) = ( 361 × 927 ) / 1
LCM(361,927) = 334647 / 1
LCM(361,927) = 334647
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FAQs on GCF of Fractions of 8077/361, 6904/927
1. What is the HCF of 8077,6904?
The HCF of 8077,6904 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 8077/361, 6904/927?
Answer: GCF of Numerators as per given numbers 8077/361, 6904/927 is
GCF of Numerators i.e. for 8077,6904 is 1
LCM of denominators i.e. for 361,927 is 334647.
Thus, GCF of Fractions is 1/334647.Finally, GCF of Fractions for 8077/361, 6904/927 is 1/334647.