GCF of 5858/575, 2702/644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5858/575, 2702/644 i.e 2/16100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5858/575, 2702/644.
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 5858/575,2702/644?
Given fractions are 5858/575,2702/644
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 5858/575,2702/644, numerators are 5858,2702
Denominators are 575,644
The GCF of 5858,2702 is 2 .
LCM of 575,644 is 16100.
The greatest common factor of 5858/575,2702/644 = [GCF of 5858,2702]/[LCM of 575,644]= 2/16100
Therefore, the GCF of 5858/575,2702/644 is 2/16100.
To find the highest common factor of 5858,2702, we have to find the factors of both numbers and list the highest common factor.
The factors of 5858 are 1, 2, 29, 58, 101, 202, 2929, 5858
The factors of 2702 are 1, 2, 7, 14, 193, 386, 1351, 2702
The HCF of 5858,2702 is 2.
Lets's calculate GCF of 5858,2702
| 2 | 5858, 2702 |
| 2929, 1351 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5858,2702 By Matching Biggest Common Factor Method
Now, list down the factors of 5858
:1,2,29,58,101,202,2929,5858
Now, list down the factors of 2702
:1,2,7,14,193,386,1351,2702
Greatest Common Factor
We found the factors 5858,2702 . The biggest common factor number is the GCF number.
So the greatest common factor 5858,2702 is 2.
Lets's calculate LCM of 575,644
| 23 | 575, 644 |
| 25, 28 |
∴ So the LCM of the given numbers is 23 x 25 x 28 = 16100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16100
Therefore, the GCF of Fractions 5858/575,2702/644 is 2/16100
Least Common Multiple of 575,644 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 575,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(575,644) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(575,644) x common factors =23 x 1 = 23
LCM(575,644) = ( 575 × 644 ) / 23
LCM(575,644) = 370300 / 23
LCM(575,644) = 16100
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FAQs on GCF of Fractions of 5858/575, 2702/644
1. What is the HCF of 5858,2702?
The HCF of 5858,2702 is 2
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 5858/575, 2702/644?
Answer: GCF of Numerators as per given numbers 5858/575, 2702/644 is
GCF of Numerators i.e. for 5858,2702 is 2
LCM of denominators i.e. for 575,644 is 16100.
Thus, GCF of Fractions is 2/16100.Finally, GCF of Fractions for 5858/575, 2702/644 is 2/16100.