GCF of 7407/511, 8185/414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7407/511, 8185/414 i.e 1/211554 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7407/511, 8185/414.
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 7407/511,8185/414?
Given fractions are 7407/511,8185/414
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 7407/511,8185/414, numerators are 7407,8185
Denominators are 511,414
The GCF of 7407,8185 is 1 .
LCM of 511,414 is 211554.
The greatest common factor of 7407/511,8185/414 = [GCF of 7407,8185]/[LCM of 511,414]= 1/211554
Therefore, the GCF of 7407/511,8185/414 is 1/211554.
To find the highest common factor of 7407,8185, we have to find the factors of both numbers and list the highest common factor.
The factors of 7407 are 1, 3, 9, 823, 2469, 7407
The factors of 8185 are 1, 5, 1637, 8185
The HCF of 7407,8185 is 1.
Lets's calculate GCF of 7407,8185
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7407,8185 By Matching Biggest Common Factor Method
Now, list down the factors of 7407
:1,3,9,823,2469,7407
Now, list down the factors of 8185
:1,5,1637,8185
Greatest Common Factor
We found the factors 7407,8185 . The biggest common factor number is the GCF number.
So the greatest common factor 7407,8185 is 1.
Lets's calculate LCM of 511,414
Given numbers has no common factors except 1. So, there LCM is their product i.e 211554
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211554
Therefore, the GCF of Fractions 7407/511,8185/414 is 1/211554
Least Common Multiple of 511,414 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 511,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(511,414) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(511,414) x common factors =1 x 1 = 1
LCM(511,414) = ( 511 × 414 ) / 1
LCM(511,414) = 211554 / 1
LCM(511,414) = 211554
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FAQs on GCF of Fractions of 7407/511, 8185/414
1. What is the HCF of 7407,8185?
The HCF of 7407,8185 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 7407/511, 8185/414?
Answer: GCF of Numerators as per given numbers 7407/511, 8185/414 is
GCF of Numerators i.e. for 7407,8185 is 1
LCM of denominators i.e. for 511,414 is 211554.
Thus, GCF of Fractions is 1/211554.Finally, GCF of Fractions for 7407/511, 8185/414 is 1/211554.