GCF of 4367/433, 9979/746
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4367/433, 9979/746 i.e 1/323018 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4367/433, 9979/746.
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 4367/433,9979/746?
Given fractions are 4367/433,9979/746
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 4367/433,9979/746, numerators are 4367,9979
Denominators are 433,746
The GCF of 4367,9979 is 1 .
LCM of 433,746 is 323018.
The greatest common factor of 4367/433,9979/746 = [GCF of 4367,9979]/[LCM of 433,746]= 1/323018
Therefore, the GCF of 4367/433,9979/746 is 1/323018.
To find the highest common factor of 4367,9979, 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 9979 are 1, 17, 587, 9979
The HCF of 4367,9979 is 1.
Lets's calculate GCF of 4367,9979
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4367,9979 By Matching Biggest Common Factor Method
Now, list down the factors of 4367
:1,11,397,4367
Now, list down the factors of 9979
:1,17,587,9979
Greatest Common Factor
We found the factors 4367,9979 . The biggest common factor number is the GCF number.
So the greatest common factor 4367,9979 is 1.
Lets's calculate LCM of 433,746
Given numbers has no common factors except 1. So, there LCM is their product i.e 323018
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323018
Therefore, the GCF of Fractions 4367/433,9979/746 is 1/323018
Least Common Multiple of 433,746 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 433,746 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,746) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,746) x common factors =1 x 1 = 1
LCM(433,746) = ( 433 × 746 ) / 1
LCM(433,746) = 323018 / 1
LCM(433,746) = 323018
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FAQs on GCF of Fractions of 4367/433, 9979/746
1. What is the HCF of 4367,9979?
The HCF of 4367,9979 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 4367/433, 9979/746?
Answer: GCF of Numerators as per given numbers 4367/433, 9979/746 is
GCF of Numerators i.e. for 4367,9979 is 1
LCM of denominators i.e. for 433,746 is 323018.
Thus, GCF of Fractions is 1/323018.Finally, GCF of Fractions for 4367/433, 9979/746 is 1/323018.