GCF of 4061/670, 6586/3752
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4061/670, 6586/3752 i.e 1/18760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4061/670, 6586/3752.
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 4061/670,6586/3752?
Given fractions are 4061/670,6586/3752
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 4061/670,6586/3752, numerators are 4061,6586
Denominators are 670,3752
The GCF of 4061,6586 is 1 .
LCM of 670,3752 is 18760.
The greatest common factor of 4061/670,6586/3752 = [GCF of 4061,6586]/[LCM of 670,3752]= 1/18760
Therefore, the GCF of 4061/670,6586/3752 is 1/18760.
To find the highest common factor of 4061,6586, we have to find the factors of both numbers and list the highest common factor.
The factors of 4061 are 1, 31, 131, 4061
The factors of 6586 are 1, 2, 37, 74, 89, 178, 3293, 6586
The HCF of 4061,6586 is 1.
Lets's calculate GCF of 4061,6586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4061,6586 By Matching Biggest Common Factor Method
Now, list down the factors of 4061
:1,31,131,4061
Now, list down the factors of 6586
:1,2,37,74,89,178,3293,6586
Greatest Common Factor
We found the factors 4061,6586 . The biggest common factor number is the GCF number.
So the greatest common factor 4061,6586 is 1.
Lets's calculate LCM of 670,3752
| 2 | 670, 3752 |
| 67 | 335, 1876 |
| 5, 28 |
∴ So the LCM of the given numbers is 2 x 67 x 5 x 28 = 18760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18760
Therefore, the GCF of Fractions 4061/670,6586/3752 is 1/18760
Least Common Multiple of 670,3752 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 670,3752 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,3752) = 134
common factors(in case of two or more numbers have common factors) = 1
GCF(670,3752) x common factors =134 x 1 = 134
LCM(670,3752) = ( 670 × 3752 ) / 134
LCM(670,3752) = 2513840 / 134
LCM(670,3752) = 18760
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FAQs on GCF of Fractions of 4061/670, 6586/3752
1. What is the HCF of 4061,6586?
The HCF of 4061,6586 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 4061/670, 6586/3752?
Answer: GCF of Numerators as per given numbers 4061/670, 6586/3752 is
GCF of Numerators i.e. for 4061,6586 is 1
LCM of denominators i.e. for 670,3752 is 18760.
Thus, GCF of Fractions is 1/18760.Finally, GCF of Fractions for 4061/670, 6586/3752 is 1/18760.