GCF of 1009/899, 9682/2369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1009/899, 9682/2369 i.e 1/2129731 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1009/899, 9682/2369.
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 1009/899,9682/2369?
Given fractions are 1009/899,9682/2369
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 1009/899,9682/2369, numerators are 1009,9682
Denominators are 899,2369
The GCF of 1009,9682 is 1 .
LCM of 899,2369 is 2129731.
The greatest common factor of 1009/899,9682/2369 = [GCF of 1009,9682]/[LCM of 899,2369]= 1/2129731
Therefore, the GCF of 1009/899,9682/2369 is 1/2129731.
To find the highest common factor of 1009,9682, we have to find the factors of both numbers and list the highest common factor.
The factors of 1009 are 1, 1009
The factors of 9682 are 1, 2, 47, 94, 103, 206, 4841, 9682
The HCF of 1009,9682 is 1.
Lets's calculate GCF of 1009,9682
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1009,9682 By Matching Biggest Common Factor Method
Now, list down the factors of 1009
:1,1009
Now, list down the factors of 9682
:1,2,47,94,103,206,4841,9682
Greatest Common Factor
We found the factors 1009,9682 . The biggest common factor number is the GCF number.
So the greatest common factor 1009,9682 is 1.
Lets's calculate LCM of 899,2369
Given numbers has no common factors except 1. So, there LCM is their product i.e 2129731
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2129731
Therefore, the GCF of Fractions 1009/899,9682/2369 is 1/2129731
Least Common Multiple of 899,2369 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 899,2369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,2369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(899,2369) x common factors =1 x 1 = 1
LCM(899,2369) = ( 899 × 2369 ) / 1
LCM(899,2369) = 2129731 / 1
LCM(899,2369) = 2129731
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FAQs on GCF of Fractions of 1009/899, 9682/2369
1. What is the HCF of 1009,9682?
The HCF of 1009,9682 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 1009/899, 9682/2369?
Answer: GCF of Numerators as per given numbers 1009/899, 9682/2369 is
GCF of Numerators i.e. for 1009,9682 is 1
LCM of denominators i.e. for 899,2369 is 2129731.
Thus, GCF of Fractions is 1/2129731.Finally, GCF of Fractions for 1009/899, 9682/2369 is 1/2129731.