GCF of 1827/598, 9053/614
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1827/598, 9053/614 i.e 1/183586 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1827/598, 9053/614.
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 1827/598,9053/614?
Given fractions are 1827/598,9053/614
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 1827/598,9053/614, numerators are 1827,9053
Denominators are 598,614
The GCF of 1827,9053 is 1 .
LCM of 598,614 is 183586.
The greatest common factor of 1827/598,9053/614 = [GCF of 1827,9053]/[LCM of 598,614]= 1/183586
Therefore, the GCF of 1827/598,9053/614 is 1/183586.
To find the highest common factor of 1827,9053, we have to find the factors of both numbers and list the highest common factor.
The factors of 1827 are 1, 3, 7, 9, 21, 29, 63, 87, 203, 261, 609, 1827
The factors of 9053 are 1, 11, 823, 9053
The HCF of 1827,9053 is 1.
Lets's calculate GCF of 1827,9053
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1827,9053 By Matching Biggest Common Factor Method
Now, list down the factors of 1827
:1,3,7,9,21,29,63,87,203,261,609,1827
Now, list down the factors of 9053
:1,11,823,9053
Greatest Common Factor
We found the factors 1827,9053 . The biggest common factor number is the GCF number.
So the greatest common factor 1827,9053 is 1.
Lets's calculate LCM of 598,614
| 2 | 598, 614 |
| 299, 307 |
∴ So the LCM of the given numbers is 2 x 299 x 307 = 183586
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183586
Therefore, the GCF of Fractions 1827/598,9053/614 is 1/183586
Least Common Multiple of 598,614 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 598,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,614) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(598,614) x common factors =2 x 1 = 2
LCM(598,614) = ( 598 × 614 ) / 2
LCM(598,614) = 367172 / 2
LCM(598,614) = 183586
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FAQs on GCF of Fractions of 1827/598, 9053/614
1. What is the HCF of 1827,9053?
The HCF of 1827,9053 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 1827/598, 9053/614?
Answer: GCF of Numerators as per given numbers 1827/598, 9053/614 is
GCF of Numerators i.e. for 1827,9053 is 1
LCM of denominators i.e. for 598,614 is 183586.
Thus, GCF of Fractions is 1/183586.Finally, GCF of Fractions for 1827/598, 9053/614 is 1/183586.