GCF of 59/46, 29/64, 934/381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 59/46, 29/64, 934/381 i.e 1/560832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 59/46, 29/64, 934/381.
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 59/46,29/64,934/381?
Given fractions are 59/46,29/64,934/381
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 59/46,29/64,934/381, numerators are 59,29,934
Denominators are 46,64,381
The GCF of 59,29,934 is 1 .
LCM of 46,64,381 is 560832.
The greatest common factor of 59/46,29/64,934/381 = [GCF of 59,29,934]/[LCM of 46,64,381]= 1/560832
Therefore, the GCF of 59/46,29/64,934/381 is 1/560832.
To find the highest common factor of 59,29,934, we have to find the factors of both numbers and list the highest common factor.
The factors of 59 are 1, 59
The factors of 29 are 1, 29
The factors of 934 are 1, 2, 467, 934
The HCF of 59,29,934 is 1.
Lets's calculate GCF of 59,29,934
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 59,29,934 By Matching Biggest Common Factor Method
Now, list down the factors of 59
:1,59
Now, list down the factors of 29
:1,29
Now, list down the factors of 934
:1,2,467,934
Greatest Common Factor
We found the factors 59,29,934 . The biggest common factor number is the GCF number.
So the greatest common factor 59,29,934 is 1.
Lets's calculate LCM of 46,64,381
| 2 | 46, 64, 381 |
| 23, 32, 381 |
∴ So the LCM of the given numbers is 2 x 23 x 32 x 381 = 560832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/560832
Therefore, the GCF of Fractions 59/46,29/64,934/381 is 1/560832
Least Common Multiple of 46,64,381 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 46,64,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,64,381) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(46,64,381) x common factors =1 x 2 = 2
LCM(46,64,381) = ( 46 × 64 × 381 ) / 2
LCM(46,64,381) = 1121664 / 2
LCM(46,64,381) = 560832
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FAQs on GCF of Fractions of 59/46, 29/64, 934/381
1. What is the HCF of 59,29,934?
The HCF of 59,29,934 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 59/46, 29/64, 934/381?
Answer: GCF of Numerators as per given numbers 59/46, 29/64, 934/381 is
GCF of Numerators i.e. for 59,29,934 is 1
LCM of denominators i.e. for 46,64,381 is 560832.
Thus, GCF of Fractions is 1/560832.Finally, GCF of Fractions for 59/46, 29/64, 934/381 is 1/560832.