GCF of 618/727, 217/666
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 618/727, 217/666 i.e 1/484182 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/727, 217/666.
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 618/727,217/666?
Given fractions are 618/727,217/666
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 618/727,217/666, numerators are 618,217
Denominators are 727,666
The GCF of 618,217 is 1 .
LCM of 727,666 is 484182.
The greatest common factor of 618/727,217/666 = [GCF of 618,217]/[LCM of 727,666]= 1/484182
Therefore, the GCF of 618/727,217/666 is 1/484182.
To find the highest common factor of 618,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618
The factors of 217 are 1, 7, 31, 217
The HCF of 618,217 is 1.
Lets's calculate GCF of 618,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 618,217 By Matching Biggest Common Factor Method
Now, list down the factors of 618
:1,2,3,6,103,206,309,618
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 618,217 . The biggest common factor number is the GCF number.
So the greatest common factor 618,217 is 1.
Lets's calculate LCM of 727,666
Given numbers has no common factors except 1. So, there LCM is their product i.e 484182
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/484182
Therefore, the GCF of Fractions 618/727,217/666 is 1/484182
Least Common Multiple of 727,666 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 727,666 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,666) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,666) x common factors =1 x 1 = 1
LCM(727,666) = ( 727 × 666 ) / 1
LCM(727,666) = 484182 / 1
LCM(727,666) = 484182
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FAQs on GCF of Fractions of 618/727, 217/666
1. What is the HCF of 618,217?
The HCF of 618,217 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 618/727, 217/666?
Answer: GCF of Numerators as per given numbers 618/727, 217/666 is
GCF of Numerators i.e. for 618,217 is 1
LCM of denominators i.e. for 727,666 is 484182.
Thus, GCF of Fractions is 1/484182.Finally, GCF of Fractions for 618/727, 217/666 is 1/484182.