GCF of 3786/986, 6361/5845
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3786/986, 6361/5845 i.e 1/5763170 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3786/986, 6361/5845.
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 3786/986,6361/5845?
Given fractions are 3786/986,6361/5845
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 3786/986,6361/5845, numerators are 3786,6361
Denominators are 986,5845
The GCF of 3786,6361 is 1 .
LCM of 986,5845 is 5763170.
The greatest common factor of 3786/986,6361/5845 = [GCF of 3786,6361]/[LCM of 986,5845]= 1/5763170
Therefore, the GCF of 3786/986,6361/5845 is 1/5763170.
To find the highest common factor of 3786,6361, we have to find the factors of both numbers and list the highest common factor.
The factors of 3786 are 1, 2, 3, 6, 631, 1262, 1893, 3786
The factors of 6361 are 1, 6361
The HCF of 3786,6361 is 1.
Lets's calculate GCF of 3786,6361
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3786,6361 By Matching Biggest Common Factor Method
Now, list down the factors of 3786
:1,2,3,6,631,1262,1893,3786
Now, list down the factors of 6361
:1,6361
Greatest Common Factor
We found the factors 3786,6361 . The biggest common factor number is the GCF number.
So the greatest common factor 3786,6361 is 1.
Lets's calculate LCM of 986,5845
Given numbers has no common factors except 1. So, there LCM is their product i.e 5763170
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5763170
Therefore, the GCF of Fractions 3786/986,6361/5845 is 1/5763170
Least Common Multiple of 986,5845 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 986,5845 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,5845) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,5845) x common factors =1 x 1 = 1
LCM(986,5845) = ( 986 × 5845 ) / 1
LCM(986,5845) = 5763170 / 1
LCM(986,5845) = 5763170
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FAQs on GCF of Fractions of 3786/986, 6361/5845
1. What is the HCF of 3786,6361?
The HCF of 3786,6361 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 3786/986, 6361/5845?
Answer: GCF of Numerators as per given numbers 3786/986, 6361/5845 is
GCF of Numerators i.e. for 3786,6361 is 1
LCM of denominators i.e. for 986,5845 is 5763170.
Thus, GCF of Fractions is 1/5763170.Finally, GCF of Fractions for 3786/986, 6361/5845 is 1/5763170.