GCF of 4367/863, 9426/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4367/863, 9426/984 i.e 1/849192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4367/863, 9426/984.
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 4367/863,9426/984?
Given fractions are 4367/863,9426/984
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 4367/863,9426/984, numerators are 4367,9426
Denominators are 863,984
The GCF of 4367,9426 is 1 .
LCM of 863,984 is 849192.
The greatest common factor of 4367/863,9426/984 = [GCF of 4367,9426]/[LCM of 863,984]= 1/849192
Therefore, the GCF of 4367/863,9426/984 is 1/849192.
To find the highest common factor of 4367,9426, we have to find the factors of both numbers and list the highest common factor.
The factors of 4367 are 1, 11, 397, 4367
The factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426
The HCF of 4367,9426 is 1.
Lets's calculate GCF of 4367,9426
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4367,9426 By Matching Biggest Common Factor Method
Now, list down the factors of 4367
:1,11,397,4367
Now, list down the factors of 9426
:1,2,3,6,1571,3142,4713,9426
Greatest Common Factor
We found the factors 4367,9426 . The biggest common factor number is the GCF number.
So the greatest common factor 4367,9426 is 1.
Lets's calculate LCM of 863,984
Given numbers has no common factors except 1. So, there LCM is their product i.e 849192
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/849192
Therefore, the GCF of Fractions 4367/863,9426/984 is 1/849192
Least Common Multiple of 863,984 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 863,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,984) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,984) x common factors =1 x 1 = 1
LCM(863,984) = ( 863 × 984 ) / 1
LCM(863,984) = 849192 / 1
LCM(863,984) = 849192
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FAQs on GCF of Fractions of 4367/863, 9426/984
1. What is the HCF of 4367,9426?
The HCF of 4367,9426 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 4367/863, 9426/984?
Answer: GCF of Numerators as per given numbers 4367/863, 9426/984 is
GCF of Numerators i.e. for 4367,9426 is 1
LCM of denominators i.e. for 863,984 is 849192.
Thus, GCF of Fractions is 1/849192.Finally, GCF of Fractions for 4367/863, 9426/984 is 1/849192.