GCF of 1677/492, 5831/5544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1677/492, 5831/5544 i.e 1/227304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1677/492, 5831/5544.
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 1677/492,5831/5544?
Given fractions are 1677/492,5831/5544
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 1677/492,5831/5544, numerators are 1677,5831
Denominators are 492,5544
The GCF of 1677,5831 is 1 .
LCM of 492,5544 is 227304.
The greatest common factor of 1677/492,5831/5544 = [GCF of 1677,5831]/[LCM of 492,5544]= 1/227304
Therefore, the GCF of 1677/492,5831/5544 is 1/227304.
To find the highest common factor of 1677,5831, we have to find the factors of both numbers and list the highest common factor.
The factors of 1677 are 1, 3, 13, 39, 43, 129, 559, 1677
The factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831
The HCF of 1677,5831 is 1.
Lets's calculate GCF of 1677,5831
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1677,5831 By Matching Biggest Common Factor Method
Now, list down the factors of 1677
:1,3,13,39,43,129,559,1677
Now, list down the factors of 5831
:1,7,17,49,119,343,833,5831
Greatest Common Factor
We found the factors 1677,5831 . The biggest common factor number is the GCF number.
So the greatest common factor 1677,5831 is 1.
Lets's calculate LCM of 492,5544
| 2 | 492, 5544 |
| 2 | 246, 2772 |
| 3 | 123, 1386 |
| 41, 462 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 41 x 462 = 227304
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/227304
Therefore, the GCF of Fractions 1677/492,5831/5544 is 1/227304
Least Common Multiple of 492,5544 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 492,5544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,5544) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(492,5544) x common factors =12 x 1 = 12
LCM(492,5544) = ( 492 × 5544 ) / 12
LCM(492,5544) = 2727648 / 12
LCM(492,5544) = 227304
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FAQs on GCF of Fractions of 1677/492, 5831/5544
1. What is the HCF of 1677,5831?
The HCF of 1677,5831 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 1677/492, 5831/5544?
Answer: GCF of Numerators as per given numbers 1677/492, 5831/5544 is
GCF of Numerators i.e. for 1677,5831 is 1
LCM of denominators i.e. for 492,5544 is 227304.
Thus, GCF of Fractions is 1/227304.Finally, GCF of Fractions for 1677/492, 5831/5544 is 1/227304.