GCF of 1829/903, 9924/681
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1829/903, 9924/681 i.e 1/204981 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1829/903, 9924/681.
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 1829/903,9924/681?
Given fractions are 1829/903,9924/681
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 1829/903,9924/681, numerators are 1829,9924
Denominators are 903,681
The GCF of 1829,9924 is 1 .
LCM of 903,681 is 204981.
The greatest common factor of 1829/903,9924/681 = [GCF of 1829,9924]/[LCM of 903,681]= 1/204981
Therefore, the GCF of 1829/903,9924/681 is 1/204981.
To find the highest common factor of 1829,9924, we have to find the factors of both numbers and list the highest common factor.
The factors of 1829 are 1, 31, 59, 1829
The factors of 9924 are 1, 2, 3, 4, 6, 12, 827, 1654, 2481, 3308, 4962, 9924
The HCF of 1829,9924 is 1.
Lets's calculate GCF of 1829,9924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1829,9924 By Matching Biggest Common Factor Method
Now, list down the factors of 1829
:1,31,59,1829
Now, list down the factors of 9924
:1,2,3,4,6,12,827,1654,2481,3308,4962,9924
Greatest Common Factor
We found the factors 1829,9924 . The biggest common factor number is the GCF number.
So the greatest common factor 1829,9924 is 1.
Lets's calculate LCM of 903,681
| 3 | 903, 681 |
| 301, 227 |
∴ So the LCM of the given numbers is 3 x 301 x 227 = 204981
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/204981
Therefore, the GCF of Fractions 1829/903,9924/681 is 1/204981
Least Common Multiple of 903,681 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 903,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(903,681) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(903,681) x common factors =3 x 1 = 3
LCM(903,681) = ( 903 × 681 ) / 3
LCM(903,681) = 614943 / 3
LCM(903,681) = 204981
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FAQs on GCF of Fractions of 1829/903, 9924/681
1. What is the HCF of 1829,9924?
The HCF of 1829,9924 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 1829/903, 9924/681?
Answer: GCF of Numerators as per given numbers 1829/903, 9924/681 is
GCF of Numerators i.e. for 1829,9924 is 1
LCM of denominators i.e. for 903,681 is 204981.
Thus, GCF of Fractions is 1/204981.Finally, GCF of Fractions for 1829/903, 9924/681 is 1/204981.