GCF of 406/709, 8511/301
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 406/709, 8511/301 i.e 1/213409 easily. The following is the detailed procedure to determine the greatest common factor of fractions 406/709, 8511/301.
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 406/709,8511/301?
Given fractions are 406/709,8511/301
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 406/709,8511/301, numerators are 406,8511
Denominators are 709,301
The GCF of 406,8511 is 1 .
LCM of 709,301 is 213409.
The greatest common factor of 406/709,8511/301 = [GCF of 406,8511]/[LCM of 709,301]= 1/213409
Therefore, the GCF of 406/709,8511/301 is 1/213409.
To find the highest common factor of 406,8511, we have to find the factors of both numbers and list the highest common factor.
The factors of 406 are 1, 2, 7, 14, 29, 58, 203, 406
The factors of 8511 are 1, 3, 2837, 8511
The HCF of 406,8511 is 1.
Lets's calculate GCF of 406,8511
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 406,8511 By Matching Biggest Common Factor Method
Now, list down the factors of 406
:1,2,7,14,29,58,203,406
Now, list down the factors of 8511
:1,3,2837,8511
Greatest Common Factor
We found the factors 406,8511 . The biggest common factor number is the GCF number.
So the greatest common factor 406,8511 is 1.
Lets's calculate LCM of 709,301
Given numbers has no common factors except 1. So, there LCM is their product i.e 213409
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/213409
Therefore, the GCF of Fractions 406/709,8511/301 is 1/213409
Least Common Multiple of 709,301 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 709,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(709,301) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(709,301) x common factors =1 x 1 = 1
LCM(709,301) = ( 709 × 301 ) / 1
LCM(709,301) = 213409 / 1
LCM(709,301) = 213409
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FAQs on GCF of Fractions of 406/709, 8511/301
1. What is the HCF of 406,8511?
The HCF of 406,8511 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 406/709, 8511/301?
Answer: GCF of Numerators as per given numbers 406/709, 8511/301 is
GCF of Numerators i.e. for 406,8511 is 1
LCM of denominators i.e. for 709,301 is 213409.
Thus, GCF of Fractions is 1/213409.Finally, GCF of Fractions for 406/709, 8511/301 is 1/213409.