GCF of 693/590, 858/840
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 693/590, 858/840 i.e 33/49560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 693/590, 858/840.
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 693/590,858/840?
Given fractions are 693/590,858/840
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 693/590,858/840, numerators are 693,858
Denominators are 590,840
The GCF of 693,858 is 33 .
LCM of 590,840 is 49560.
The greatest common factor of 693/590,858/840 = [GCF of 693,858]/[LCM of 590,840]= 33/49560
Therefore, the GCF of 693/590,858/840 is 33/49560.
To find the highest common factor of 693,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 693 are 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 693,858 is 33.
Lets's calculate GCF of 693,858
| 3 | 693, 858 |
| 11 | 231, 286 |
| 21, 26 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 693,858 By Matching Biggest Common Factor Method
Now, list down the factors of 693
:1,3,7,9,11,21,33,63,77,99,231,693
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 693,858 . The biggest common factor number is the GCF number.
So the greatest common factor 693,858 is 33.
Lets's calculate LCM of 590,840
| 2 | 590, 840 |
| 5 | 295, 420 |
| 59, 84 |
∴ So the LCM of the given numbers is 2 x 5 x 59 x 84 = 49560
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/49560
Therefore, the GCF of Fractions 693/590,858/840 is 33/49560
Least Common Multiple of 590,840 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 590,840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,840) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(590,840) x common factors =10 x 1 = 10
LCM(590,840) = ( 590 × 840 ) / 10
LCM(590,840) = 495600 / 10
LCM(590,840) = 49560
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FAQs on GCF of Fractions of 693/590, 858/840
1. What is the HCF of 693,858?
The HCF of 693,858 is 33
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 693/590, 858/840?
Answer: GCF of Numerators as per given numbers 693/590, 858/840 is
GCF of Numerators i.e. for 693,858 is 33
LCM of denominators i.e. for 590,840 is 49560.
Thus, GCF of Fractions is 33/49560.Finally, GCF of Fractions for 693/590, 858/840 is 33/49560.