GCF of 4071/854, 6313/5810
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4071/854, 6313/5810 i.e 59/354410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4071/854, 6313/5810.
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 4071/854,6313/5810?
Given fractions are 4071/854,6313/5810
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 4071/854,6313/5810, numerators are 4071,6313
Denominators are 854,5810
The GCF of 4071,6313 is 59 .
LCM of 854,5810 is 354410.
The greatest common factor of 4071/854,6313/5810 = [GCF of 4071,6313]/[LCM of 854,5810]= 59/354410
Therefore, the GCF of 4071/854,6313/5810 is 59/354410.
To find the highest common factor of 4071,6313, we have to find the factors of both numbers and list the highest common factor.
The factors of 4071 are 1, 3, 23, 59, 69, 177, 1357, 4071
The factors of 6313 are 1, 59, 107, 6313
The HCF of 4071,6313 is 59.
Lets's calculate GCF of 4071,6313
| 59 | 4071, 6313 |
| 69, 107 |
∴ So the GCF of the given numbers is 59 = 59
Greatest Common Factor of 4071,6313 By Matching Biggest Common Factor Method
Now, list down the factors of 4071
:1,3,23,59,69,177,1357,4071
Now, list down the factors of 6313
:1,59,107,6313
Greatest Common Factor
We found the factors 4071,6313 . The biggest common factor number is the GCF number.
So the greatest common factor 4071,6313 is 59.
Lets's calculate LCM of 854,5810
| 2 | 854, 5810 |
| 7 | 427, 2905 |
| 61, 415 |
∴ So the LCM of the given numbers is 2 x 7 x 61 x 415 = 354410
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 59/354410
Therefore, the GCF of Fractions 4071/854,6313/5810 is 59/354410
Least Common Multiple of 854,5810 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 854,5810 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,5810) = 14
common factors(in case of two or more numbers have common factors) = 1
GCF(854,5810) x common factors =14 x 1 = 14
LCM(854,5810) = ( 854 × 5810 ) / 14
LCM(854,5810) = 4961740 / 14
LCM(854,5810) = 354410
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FAQs on GCF of Fractions of 4071/854, 6313/5810
1. What is the HCF of 4071,6313?
The HCF of 4071,6313 is 59
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 4071/854, 6313/5810?
Answer: GCF of Numerators as per given numbers 4071/854, 6313/5810 is
GCF of Numerators i.e. for 4071,6313 is 59
LCM of denominators i.e. for 854,5810 is 354410.
Thus, GCF of Fractions is 59/354410.Finally, GCF of Fractions for 4071/854, 6313/5810 is 59/354410.