GCF of 986/983, 1211/9527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 986/983, 1211/9527 i.e 1/9365041 easily. The following is the detailed procedure to determine the greatest common factor of fractions 986/983, 1211/9527.
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 986/983,1211/9527?
Given fractions are 986/983,1211/9527
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 986/983,1211/9527, numerators are 986,1211
Denominators are 983,9527
The GCF of 986,1211 is 1 .
LCM of 983,9527 is 9365041.
The greatest common factor of 986/983,1211/9527 = [GCF of 986,1211]/[LCM of 983,9527]= 1/9365041
Therefore, the GCF of 986/983,1211/9527 is 1/9365041.
To find the highest common factor of 986,1211, we have to find the factors of both numbers and list the highest common factor.
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The factors of 1211 are 1, 7, 173, 1211
The HCF of 986,1211 is 1.
Lets's calculate GCF of 986,1211
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 986,1211 By Matching Biggest Common Factor Method
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Now, list down the factors of 1211
:1,7,173,1211
Greatest Common Factor
We found the factors 986,1211 . The biggest common factor number is the GCF number.
So the greatest common factor 986,1211 is 1.
Lets's calculate LCM of 983,9527
Given numbers has no common factors except 1. So, there LCM is their product i.e 9365041
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9365041
Therefore, the GCF of Fractions 986/983,1211/9527 is 1/9365041
Least Common Multiple of 983,9527 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 983,9527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(983,9527) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(983,9527) x common factors =1 x 1 = 1
LCM(983,9527) = ( 983 × 9527 ) / 1
LCM(983,9527) = 9365041 / 1
LCM(983,9527) = 9365041
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 986/983, 1211/9527
1. What is the HCF of 986,1211?
The HCF of 986,1211 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 986/983, 1211/9527?
Answer: GCF of Numerators as per given numbers 986/983, 1211/9527 is
GCF of Numerators i.e. for 986,1211 is 1
LCM of denominators i.e. for 983,9527 is 9365041.
Thus, GCF of Fractions is 1/9365041.Finally, GCF of Fractions for 986/983, 1211/9527 is 1/9365041.