GCF of 158/512, 5746/7464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 158/512, 5746/7464 i.e 2/477696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 158/512, 5746/7464.
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 158/512,5746/7464?
Given fractions are 158/512,5746/7464
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 158/512,5746/7464, numerators are 158,5746
Denominators are 512,7464
The GCF of 158,5746 is 2 .
LCM of 512,7464 is 477696.
The greatest common factor of 158/512,5746/7464 = [GCF of 158,5746]/[LCM of 512,7464]= 2/477696
Therefore, the GCF of 158/512,5746/7464 is 2/477696.
To find the highest common factor of 158,5746, we have to find the factors of both numbers and list the highest common factor.
The factors of 158 are 1, 2, 79, 158
The factors of 5746 are 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2873, 5746
The HCF of 158,5746 is 2.
Lets's calculate GCF of 158,5746
| 2 | 158, 5746 |
| 79, 2873 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 158,5746 By Matching Biggest Common Factor Method
Now, list down the factors of 158
:1,2,79,158
Now, list down the factors of 5746
:1,2,13,17,26,34,169,221,338,442,2873,5746
Greatest Common Factor
We found the factors 158,5746 . The biggest common factor number is the GCF number.
So the greatest common factor 158,5746 is 2.
Lets's calculate LCM of 512,7464
| 2 | 512, 7464 |
| 2 | 256, 3732 |
| 2 | 128, 1866 |
| 64, 933 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 64 x 933 = 477696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/477696
Therefore, the GCF of Fractions 158/512,5746/7464 is 2/477696
Least Common Multiple of 512,7464 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 512,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(512,7464) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(512,7464) x common factors =8 x 1 = 8
LCM(512,7464) = ( 512 × 7464 ) / 8
LCM(512,7464) = 3821568 / 8
LCM(512,7464) = 477696
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FAQs on GCF of Fractions of 158/512, 5746/7464
1. What is the HCF of 158,5746?
The HCF of 158,5746 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 158/512, 5746/7464?
Answer: GCF of Numerators as per given numbers 158/512, 5746/7464 is
GCF of Numerators i.e. for 158,5746 is 2
LCM of denominators i.e. for 512,7464 is 477696.
Thus, GCF of Fractions is 2/477696.Finally, GCF of Fractions for 158/512, 5746/7464 is 2/477696.