GCF of 8422/347, 4367/825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8422/347, 4367/825 i.e 1/286275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8422/347, 4367/825.
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 8422/347,4367/825?
Given fractions are 8422/347,4367/825
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 8422/347,4367/825, numerators are 8422,4367
Denominators are 347,825
The GCF of 8422,4367 is 1 .
LCM of 347,825 is 286275.
The greatest common factor of 8422/347,4367/825 = [GCF of 8422,4367]/[LCM of 347,825]= 1/286275
Therefore, the GCF of 8422/347,4367/825 is 1/286275.
To find the highest common factor of 8422,4367, we have to find the factors of both numbers and list the highest common factor.
The factors of 8422 are 1, 2, 4211, 8422
The factors of 4367 are 1, 11, 397, 4367
The HCF of 8422,4367 is 1.
Lets's calculate GCF of 8422,4367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8422,4367 By Matching Biggest Common Factor Method
Now, list down the factors of 8422
:1,2,4211,8422
Now, list down the factors of 4367
:1,11,397,4367
Greatest Common Factor
We found the factors 8422,4367 . The biggest common factor number is the GCF number.
So the greatest common factor 8422,4367 is 1.
Lets's calculate LCM of 347,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 286275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/286275
Therefore, the GCF of Fractions 8422/347,4367/825 is 1/286275
Least Common Multiple of 347,825 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 347,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(347,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(347,825) x common factors =1 x 1 = 1
LCM(347,825) = ( 347 × 825 ) / 1
LCM(347,825) = 286275 / 1
LCM(347,825) = 286275
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FAQs on GCF of Fractions of 8422/347, 4367/825
1. What is the HCF of 8422,4367?
The HCF of 8422,4367 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 8422/347, 4367/825?
Answer: GCF of Numerators as per given numbers 8422/347, 4367/825 is
GCF of Numerators i.e. for 8422,4367 is 1
LCM of denominators i.e. for 347,825 is 286275.
Thus, GCF of Fractions is 1/286275.Finally, GCF of Fractions for 8422/347, 4367/825 is 1/286275.