GCF of 7733/461, 2430/4988
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7733/461, 2430/4988 i.e 1/2299468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7733/461, 2430/4988.
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 7733/461,2430/4988?
Given fractions are 7733/461,2430/4988
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 7733/461,2430/4988, numerators are 7733,2430
Denominators are 461,4988
The GCF of 7733,2430 is 1 .
LCM of 461,4988 is 2299468.
The greatest common factor of 7733/461,2430/4988 = [GCF of 7733,2430]/[LCM of 461,4988]= 1/2299468
Therefore, the GCF of 7733/461,2430/4988 is 1/2299468.
To find the highest common factor of 7733,2430, we have to find the factors of both numbers and list the highest common factor.
The factors of 7733 are 1, 11, 19, 37, 209, 407, 703, 7733
The factors of 2430 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430
The HCF of 7733,2430 is 1.
Lets's calculate GCF of 7733,2430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7733,2430 By Matching Biggest Common Factor Method
Now, list down the factors of 7733
:1,11,19,37,209,407,703,7733
Now, list down the factors of 2430
:1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430
Greatest Common Factor
We found the factors 7733,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 7733,2430 is 1.
Lets's calculate LCM of 461,4988
Given numbers has no common factors except 1. So, there LCM is their product i.e 2299468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2299468
Therefore, the GCF of Fractions 7733/461,2430/4988 is 1/2299468
Least Common Multiple of 461,4988 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 461,4988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(461,4988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(461,4988) x common factors =1 x 1 = 1
LCM(461,4988) = ( 461 × 4988 ) / 1
LCM(461,4988) = 2299468 / 1
LCM(461,4988) = 2299468
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FAQs on GCF of Fractions of 7733/461, 2430/4988
1. What is the HCF of 7733,2430?
The HCF of 7733,2430 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 7733/461, 2430/4988?
Answer: GCF of Numerators as per given numbers 7733/461, 2430/4988 is
GCF of Numerators i.e. for 7733,2430 is 1
LCM of denominators i.e. for 461,4988 is 2299468.
Thus, GCF of Fractions is 1/2299468.Finally, GCF of Fractions for 7733/461, 2430/4988 is 1/2299468.