GCF of 3586/158, 1913/9786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3586/158, 1913/9786 i.e 1/773094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3586/158, 1913/9786.
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 3586/158,1913/9786?
Given fractions are 3586/158,1913/9786
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 3586/158,1913/9786, numerators are 3586,1913
Denominators are 158,9786
The GCF of 3586,1913 is 1 .
LCM of 158,9786 is 773094.
The greatest common factor of 3586/158,1913/9786 = [GCF of 3586,1913]/[LCM of 158,9786]= 1/773094
Therefore, the GCF of 3586/158,1913/9786 is 1/773094.
To find the highest common factor of 3586,1913, we have to find the factors of both numbers and list the highest common factor.
The factors of 3586 are 1, 2, 11, 22, 163, 326, 1793, 3586
The factors of 1913 are 1, 1913
The HCF of 3586,1913 is 1.
Lets's calculate GCF of 3586,1913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3586,1913 By Matching Biggest Common Factor Method
Now, list down the factors of 3586
:1,2,11,22,163,326,1793,3586
Now, list down the factors of 1913
:1,1913
Greatest Common Factor
We found the factors 3586,1913 . The biggest common factor number is the GCF number.
So the greatest common factor 3586,1913 is 1.
Lets's calculate LCM of 158,9786
| 2 | 158, 9786 |
| 79, 4893 |
∴ So the LCM of the given numbers is 2 x 79 x 4893 = 773094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773094
Therefore, the GCF of Fractions 3586/158,1913/9786 is 1/773094
Least Common Multiple of 158,9786 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 158,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(158,9786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(158,9786) x common factors =2 x 1 = 2
LCM(158,9786) = ( 158 × 9786 ) / 2
LCM(158,9786) = 1546188 / 2
LCM(158,9786) = 773094
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FAQs on GCF of Fractions of 3586/158, 1913/9786
1. What is the HCF of 3586,1913?
The HCF of 3586,1913 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 3586/158, 1913/9786?
Answer: GCF of Numerators as per given numbers 3586/158, 1913/9786 is
GCF of Numerators i.e. for 3586,1913 is 1
LCM of denominators i.e. for 158,9786 is 773094.
Thus, GCF of Fractions is 1/773094.Finally, GCF of Fractions for 3586/158, 1913/9786 is 1/773094.