GCF of 5832/689, 8313/1054
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5832/689, 8313/1054 i.e 3/726206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5832/689, 8313/1054.
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 5832/689,8313/1054?
Given fractions are 5832/689,8313/1054
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 5832/689,8313/1054, numerators are 5832,8313
Denominators are 689,1054
The GCF of 5832,8313 is 3 .
LCM of 689,1054 is 726206.
The greatest common factor of 5832/689,8313/1054 = [GCF of 5832,8313]/[LCM of 689,1054]= 3/726206
Therefore, the GCF of 5832/689,8313/1054 is 3/726206.
To find the highest common factor of 5832,8313, we have to find the factors of both numbers and list the highest common factor.
The factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832
The factors of 8313 are 1, 3, 17, 51, 163, 489, 2771, 8313
The HCF of 5832,8313 is 3.
Lets's calculate GCF of 5832,8313
| 3 | 5832, 8313 |
| 1944, 2771 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 5832,8313 By Matching Biggest Common Factor Method
Now, list down the factors of 5832
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,243,324,486,648,729,972,1458,1944,2916,5832
Now, list down the factors of 8313
:1,3,17,51,163,489,2771,8313
Greatest Common Factor
We found the factors 5832,8313 . The biggest common factor number is the GCF number.
So the greatest common factor 5832,8313 is 3.
Lets's calculate LCM of 689,1054
Given numbers has no common factors except 1. So, there LCM is their product i.e 726206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/726206
Therefore, the GCF of Fractions 5832/689,8313/1054 is 3/726206
Least Common Multiple of 689,1054 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 689,1054 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,1054) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(689,1054) x common factors =1 x 1 = 1
LCM(689,1054) = ( 689 × 1054 ) / 1
LCM(689,1054) = 726206 / 1
LCM(689,1054) = 726206
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FAQs on GCF of Fractions of 5832/689, 8313/1054
1. What is the HCF of 5832,8313?
The HCF of 5832,8313 is 3
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 5832/689, 8313/1054?
Answer: GCF of Numerators as per given numbers 5832/689, 8313/1054 is
GCF of Numerators i.e. for 5832,8313 is 3
LCM of denominators i.e. for 689,1054 is 726206.
Thus, GCF of Fractions is 3/726206.Finally, GCF of Fractions for 5832/689, 8313/1054 is 3/726206.