GCF of 1844/585, 6129/9380
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1844/585, 6129/9380 i.e 1/1097460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1844/585, 6129/9380.
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 1844/585,6129/9380?
Given fractions are 1844/585,6129/9380
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 1844/585,6129/9380, numerators are 1844,6129
Denominators are 585,9380
The GCF of 1844,6129 is 1 .
LCM of 585,9380 is 1097460.
The greatest common factor of 1844/585,6129/9380 = [GCF of 1844,6129]/[LCM of 585,9380]= 1/1097460
Therefore, the GCF of 1844/585,6129/9380 is 1/1097460.
To find the highest common factor of 1844,6129, we have to find the factors of both numbers and list the highest common factor.
The factors of 1844 are 1, 2, 4, 461, 922, 1844
The factors of 6129 are 1, 3, 9, 27, 227, 681, 2043, 6129
The HCF of 1844,6129 is 1.
Lets's calculate GCF of 1844,6129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1844,6129 By Matching Biggest Common Factor Method
Now, list down the factors of 1844
:1,2,4,461,922,1844
Now, list down the factors of 6129
:1,3,9,27,227,681,2043,6129
Greatest Common Factor
We found the factors 1844,6129 . The biggest common factor number is the GCF number.
So the greatest common factor 1844,6129 is 1.
Lets's calculate LCM of 585,9380
| 5 | 585, 9380 |
| 117, 1876 |
∴ So the LCM of the given numbers is 5 x 117 x 1876 = 1097460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1097460
Therefore, the GCF of Fractions 1844/585,6129/9380 is 1/1097460
Least Common Multiple of 585,9380 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 585,9380 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,9380) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(585,9380) x common factors =5 x 1 = 5
LCM(585,9380) = ( 585 × 9380 ) / 5
LCM(585,9380) = 5487300 / 5
LCM(585,9380) = 1097460
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FAQs on GCF of Fractions of 1844/585, 6129/9380
1. What is the HCF of 1844,6129?
The HCF of 1844,6129 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 1844/585, 6129/9380?
Answer: GCF of Numerators as per given numbers 1844/585, 6129/9380 is
GCF of Numerators i.e. for 1844,6129 is 1
LCM of denominators i.e. for 585,9380 is 1097460.
Thus, GCF of Fractions is 1/1097460.Finally, GCF of Fractions for 1844/585, 6129/9380 is 1/1097460.