GCF of 3618/606, 1211/1013
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3618/606, 1211/1013 i.e 1/613878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3618/606, 1211/1013.
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 3618/606,1211/1013?
Given fractions are 3618/606,1211/1013
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 3618/606,1211/1013, numerators are 3618,1211
Denominators are 606,1013
The GCF of 3618,1211 is 1 .
LCM of 606,1013 is 613878.
The greatest common factor of 3618/606,1211/1013 = [GCF of 3618,1211]/[LCM of 606,1013]= 1/613878
Therefore, the GCF of 3618/606,1211/1013 is 1/613878.
To find the highest common factor of 3618,1211, we have to find the factors of both numbers and list the highest common factor.
The factors of 3618 are 1, 2, 3, 6, 9, 18, 27, 54, 67, 134, 201, 402, 603, 1206, 1809, 3618
The factors of 1211 are 1, 7, 173, 1211
The HCF of 3618,1211 is 1.
Lets's calculate GCF of 3618,1211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3618,1211 By Matching Biggest Common Factor Method
Now, list down the factors of 3618
:1,2,3,6,9,18,27,54,67,134,201,402,603,1206,1809,3618
Now, list down the factors of 1211
:1,7,173,1211
Greatest Common Factor
We found the factors 3618,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 3618,1211 is 1.
Lets's calculate LCM of 606,1013
Given numbers has no common factors except 1. So, there LCM is their product i.e 613878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/613878
Therefore, the GCF of Fractions 3618/606,1211/1013 is 1/613878
Least Common Multiple of 606,1013 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 606,1013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(606,1013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(606,1013) x common factors =1 x 1 = 1
LCM(606,1013) = ( 606 × 1013 ) / 1
LCM(606,1013) = 613878 / 1
LCM(606,1013) = 613878
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FAQs on GCF of Fractions of 3618/606, 1211/1013
1. What is the HCF of 3618,1211?
The HCF of 3618,1211 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 3618/606, 1211/1013?
Answer: GCF of Numerators as per given numbers 3618/606, 1211/1013 is
GCF of Numerators i.e. for 3618,1211 is 1
LCM of denominators i.e. for 606,1013 is 613878.
Thus, GCF of Fractions is 1/613878.Finally, GCF of Fractions for 3618/606, 1211/1013 is 1/613878.