GCF of 4611/648, 9821/926
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4611/648, 9821/926 i.e 1/300024 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4611/648, 9821/926.
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 4611/648,9821/926?
Given fractions are 4611/648,9821/926
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 4611/648,9821/926, numerators are 4611,9821
Denominators are 648,926
The GCF of 4611,9821 is 1 .
LCM of 648,926 is 300024.
The greatest common factor of 4611/648,9821/926 = [GCF of 4611,9821]/[LCM of 648,926]= 1/300024
Therefore, the GCF of 4611/648,9821/926 is 1/300024.
To find the highest common factor of 4611,9821, we have to find the factors of both numbers and list the highest common factor.
The factors of 4611 are 1, 3, 29, 53, 87, 159, 1537, 4611
The factors of 9821 are 1, 7, 23, 61, 161, 427, 1403, 9821
The HCF of 4611,9821 is 1.
Lets's calculate GCF of 4611,9821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4611,9821 By Matching Biggest Common Factor Method
Now, list down the factors of 4611
:1,3,29,53,87,159,1537,4611
Now, list down the factors of 9821
:1,7,23,61,161,427,1403,9821
Greatest Common Factor
We found the factors 4611,9821 . The biggest common factor number is the GCF number.
So the greatest common factor 4611,9821 is 1.
Lets's calculate LCM of 648,926
| 2 | 648, 926 |
| 324, 463 |
∴ So the LCM of the given numbers is 2 x 324 x 463 = 300024
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/300024
Therefore, the GCF of Fractions 4611/648,9821/926 is 1/300024
Least Common Multiple of 648,926 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 648,926 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(648,926) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(648,926) x common factors =2 x 1 = 2
LCM(648,926) = ( 648 × 926 ) / 2
LCM(648,926) = 600048 / 2
LCM(648,926) = 300024
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FAQs on GCF of Fractions of 4611/648, 9821/926
1. What is the HCF of 4611,9821?
The HCF of 4611,9821 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 4611/648, 9821/926?
Answer: GCF of Numerators as per given numbers 4611/648, 9821/926 is
GCF of Numerators i.e. for 4611,9821 is 1
LCM of denominators i.e. for 648,926 is 300024.
Thus, GCF of Fractions is 1/300024.Finally, GCF of Fractions for 4611/648, 9821/926 is 1/300024.