GCF of 6212/211, 8685/3666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6212/211, 8685/3666 i.e 1/773526 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6212/211, 8685/3666.
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 6212/211,8685/3666?
Given fractions are 6212/211,8685/3666
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 6212/211,8685/3666, numerators are 6212,8685
Denominators are 211,3666
The GCF of 6212,8685 is 1 .
LCM of 211,3666 is 773526.
The greatest common factor of 6212/211,8685/3666 = [GCF of 6212,8685]/[LCM of 211,3666]= 1/773526
Therefore, the GCF of 6212/211,8685/3666 is 1/773526.
To find the highest common factor of 6212,8685, we have to find the factors of both numbers and list the highest common factor.
The factors of 6212 are 1, 2, 4, 1553, 3106, 6212
The factors of 8685 are 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737, 2895, 8685
The HCF of 6212,8685 is 1.
Lets's calculate GCF of 6212,8685
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6212,8685 By Matching Biggest Common Factor Method
Now, list down the factors of 6212
:1,2,4,1553,3106,6212
Now, list down the factors of 8685
:1,3,5,9,15,45,193,579,965,1737,2895,8685
Greatest Common Factor
We found the factors 6212,8685 . The biggest common factor number is the GCF number.
So the greatest common factor 6212,8685 is 1.
Lets's calculate LCM of 211,3666
Given numbers has no common factors except 1. So, there LCM is their product i.e 773526
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/773526
Therefore, the GCF of Fractions 6212/211,8685/3666 is 1/773526
Least Common Multiple of 211,3666 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 211,3666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(211,3666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(211,3666) x common factors =1 x 1 = 1
LCM(211,3666) = ( 211 × 3666 ) / 1
LCM(211,3666) = 773526 / 1
LCM(211,3666) = 773526
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FAQs on GCF of Fractions of 6212/211, 8685/3666
1. What is the HCF of 6212,8685?
The HCF of 6212,8685 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 6212/211, 8685/3666?
Answer: GCF of Numerators as per given numbers 6212/211, 8685/3666 is
GCF of Numerators i.e. for 6212,8685 is 1
LCM of denominators i.e. for 211,3666 is 773526.
Thus, GCF of Fractions is 1/773526.Finally, GCF of Fractions for 6212/211, 8685/3666 is 1/773526.