GCF of 7322/427, 8591/9782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7322/427, 8591/9782 i.e 1/4176914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7322/427, 8591/9782.
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 7322/427,8591/9782?
Given fractions are 7322/427,8591/9782
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 7322/427,8591/9782, numerators are 7322,8591
Denominators are 427,9782
The GCF of 7322,8591 is 1 .
LCM of 427,9782 is 4176914.
The greatest common factor of 7322/427,8591/9782 = [GCF of 7322,8591]/[LCM of 427,9782]= 1/4176914
Therefore, the GCF of 7322/427,8591/9782 is 1/4176914.
To find the highest common factor of 7322,8591, we have to find the factors of both numbers and list the highest common factor.
The factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The factors of 8591 are 1, 11, 71, 121, 781, 8591
The HCF of 7322,8591 is 1.
Lets's calculate GCF of 7322,8591
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7322,8591 By Matching Biggest Common Factor Method
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Now, list down the factors of 8591
:1,11,71,121,781,8591
Greatest Common Factor
We found the factors 7322,8591 . The biggest common factor number is the GCF number.
So the greatest common factor 7322,8591 is 1.
Lets's calculate LCM of 427,9782
Given numbers has no common factors except 1. So, there LCM is their product i.e 4176914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4176914
Therefore, the GCF of Fractions 7322/427,8591/9782 is 1/4176914
Least Common Multiple of 427,9782 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 427,9782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,9782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(427,9782) x common factors =1 x 1 = 1
LCM(427,9782) = ( 427 × 9782 ) / 1
LCM(427,9782) = 4176914 / 1
LCM(427,9782) = 4176914
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FAQs on GCF of Fractions of 7322/427, 8591/9782
1. What is the HCF of 7322,8591?
The HCF of 7322,8591 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 7322/427, 8591/9782?
Answer: GCF of Numerators as per given numbers 7322/427, 8591/9782 is
GCF of Numerators i.e. for 7322,8591 is 1
LCM of denominators i.e. for 427,9782 is 4176914.
Thus, GCF of Fractions is 1/4176914.Finally, GCF of Fractions for 7322/427, 8591/9782 is 1/4176914.