GCF of 8980/806, 9537/627
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8980/806, 9537/627 i.e 1/505362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8980/806, 9537/627.
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 8980/806,9537/627?
Given fractions are 8980/806,9537/627
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 8980/806,9537/627, numerators are 8980,9537
Denominators are 806,627
The GCF of 8980,9537 is 1 .
LCM of 806,627 is 505362.
The greatest common factor of 8980/806,9537/627 = [GCF of 8980,9537]/[LCM of 806,627]= 1/505362
Therefore, the GCF of 8980/806,9537/627 is 1/505362.
To find the highest common factor of 8980,9537, we have to find the factors of both numbers and list the highest common factor.
The factors of 8980 are 1, 2, 4, 5, 10, 20, 449, 898, 1796, 2245, 4490, 8980
The factors of 9537 are 1, 3, 11, 17, 33, 51, 187, 289, 561, 867, 3179, 9537
The HCF of 8980,9537 is 1.
Lets's calculate GCF of 8980,9537
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8980,9537 By Matching Biggest Common Factor Method
Now, list down the factors of 8980
:1,2,4,5,10,20,449,898,1796,2245,4490,8980
Now, list down the factors of 9537
:1,3,11,17,33,51,187,289,561,867,3179,9537
Greatest Common Factor
We found the factors 8980,9537 . The biggest common factor number is the GCF number.
So the greatest common factor 8980,9537 is 1.
Lets's calculate LCM of 806,627
Given numbers has no common factors except 1. So, there LCM is their product i.e 505362
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505362
Therefore, the GCF of Fractions 8980/806,9537/627 is 1/505362
Least Common Multiple of 806,627 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 806,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,627) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(806,627) x common factors =1 x 1 = 1
LCM(806,627) = ( 806 × 627 ) / 1
LCM(806,627) = 505362 / 1
LCM(806,627) = 505362
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8980/806, 9537/627
1. What is the HCF of 8980,9537?
The HCF of 8980,9537 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 8980/806, 9537/627?
Answer: GCF of Numerators as per given numbers 8980/806, 9537/627 is
GCF of Numerators i.e. for 8980,9537 is 1
LCM of denominators i.e. for 806,627 is 505362.
Thus, GCF of Fractions is 1/505362.Finally, GCF of Fractions for 8980/806, 9537/627 is 1/505362.