GCF of 1682/986, 2219/8369
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1682/986, 2219/8369 i.e 1/8251834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1682/986, 2219/8369.
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 1682/986,2219/8369?
Given fractions are 1682/986,2219/8369
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 1682/986,2219/8369, numerators are 1682,2219
Denominators are 986,8369
The GCF of 1682,2219 is 1 .
LCM of 986,8369 is 8251834.
The greatest common factor of 1682/986,2219/8369 = [GCF of 1682,2219]/[LCM of 986,8369]= 1/8251834
Therefore, the GCF of 1682/986,2219/8369 is 1/8251834.
To find the highest common factor of 1682,2219, we have to find the factors of both numbers and list the highest common factor.
The factors of 1682 are 1, 2, 29, 58, 841, 1682
The factors of 2219 are 1, 7, 317, 2219
The HCF of 1682,2219 is 1.
Lets's calculate GCF of 1682,2219
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1682,2219 By Matching Biggest Common Factor Method
Now, list down the factors of 1682
:1,2,29,58,841,1682
Now, list down the factors of 2219
:1,7,317,2219
Greatest Common Factor
We found the factors 1682,2219 . The biggest common factor number is the GCF number.
So the greatest common factor 1682,2219 is 1.
Lets's calculate LCM of 986,8369
Given numbers has no common factors except 1. So, there LCM is their product i.e 8251834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8251834
Therefore, the GCF of Fractions 1682/986,2219/8369 is 1/8251834
Least Common Multiple of 986,8369 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 986,8369 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,8369) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(986,8369) x common factors =1 x 1 = 1
LCM(986,8369) = ( 986 × 8369 ) / 1
LCM(986,8369) = 8251834 / 1
LCM(986,8369) = 8251834
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1682/986, 2219/8369
1. What is the HCF of 1682,2219?
The HCF of 1682,2219 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 1682/986, 2219/8369?
Answer: GCF of Numerators as per given numbers 1682/986, 2219/8369 is
GCF of Numerators i.e. for 1682,2219 is 1
LCM of denominators i.e. for 986,8369 is 8251834.
Thus, GCF of Fractions is 1/8251834.Finally, GCF of Fractions for 1682/986, 2219/8369 is 1/8251834.