GCF of 7466/784, 8591/467
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7466/784, 8591/467 i.e 1/366128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7466/784, 8591/467.
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 7466/784,8591/467?
Given fractions are 7466/784,8591/467
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 7466/784,8591/467, numerators are 7466,8591
Denominators are 784,467
The GCF of 7466,8591 is 1 .
LCM of 784,467 is 366128.
The greatest common factor of 7466/784,8591/467 = [GCF of 7466,8591]/[LCM of 784,467]= 1/366128
Therefore, the GCF of 7466/784,8591/467 is 1/366128.
To find the highest common factor of 7466,8591, we have to find the factors of both numbers and list the highest common factor.
The factors of 7466 are 1, 2, 3733, 7466
The factors of 8591 are 1, 11, 71, 121, 781, 8591
The HCF of 7466,8591 is 1.
Lets's calculate GCF of 7466,8591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7466,8591 By Matching Biggest Common Factor Method
Now, list down the factors of 7466
:1,2,3733,7466
Now, list down the factors of 8591
:1,11,71,121,781,8591
Greatest Common Factor
We found the factors 7466,8591 . The biggest common factor number is the GCF number.
So the greatest common factor 7466,8591 is 1.
Lets's calculate LCM of 784,467
Given numbers has no common factors except 1. So, there LCM is their product i.e 366128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366128
Therefore, the GCF of Fractions 7466/784,8591/467 is 1/366128
Least Common Multiple of 784,467 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 784,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,467) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,467) x common factors =1 x 1 = 1
LCM(784,467) = ( 784 × 467 ) / 1
LCM(784,467) = 366128 / 1
LCM(784,467) = 366128
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FAQs on GCF of Fractions of 7466/784, 8591/467
1. What is the HCF of 7466,8591?
The HCF of 7466,8591 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 7466/784, 8591/467?
Answer: GCF of Numerators as per given numbers 7466/784, 8591/467 is
GCF of Numerators i.e. for 7466,8591 is 1
LCM of denominators i.e. for 784,467 is 366128.
Thus, GCF of Fractions is 1/366128.Finally, GCF of Fractions for 7466/784, 8591/467 is 1/366128.