GCF of 8689/165, 8770/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8689/165, 8770/412 i.e 1/67980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8689/165, 8770/412.
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 8689/165,8770/412?
Given fractions are 8689/165,8770/412
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 8689/165,8770/412, numerators are 8689,8770
Denominators are 165,412
The GCF of 8689,8770 is 1 .
LCM of 165,412 is 67980.
The greatest common factor of 8689/165,8770/412 = [GCF of 8689,8770]/[LCM of 165,412]= 1/67980
Therefore, the GCF of 8689/165,8770/412 is 1/67980.
To find the highest common factor of 8689,8770, we have to find the factors of both numbers and list the highest common factor.
The factors of 8689 are 1, 8689
The factors of 8770 are 1, 2, 5, 10, 877, 1754, 4385, 8770
The HCF of 8689,8770 is 1.
Lets's calculate GCF of 8689,8770
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8689,8770 By Matching Biggest Common Factor Method
Now, list down the factors of 8689
:1,8689
Now, list down the factors of 8770
:1,2,5,10,877,1754,4385,8770
Greatest Common Factor
We found the factors 8689,8770 . The biggest common factor number is the GCF number.
So the greatest common factor 8689,8770 is 1.
Lets's calculate LCM of 165,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 67980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67980
Therefore, the GCF of Fractions 8689/165,8770/412 is 1/67980
Least Common Multiple of 165,412 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 165,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,412) x common factors =1 x 1 = 1
LCM(165,412) = ( 165 × 412 ) / 1
LCM(165,412) = 67980 / 1
LCM(165,412) = 67980
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8689/165, 8770/412
1. What is the HCF of 8689,8770?
The HCF of 8689,8770 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 8689/165, 8770/412?
Answer: GCF of Numerators as per given numbers 8689/165, 8770/412 is
GCF of Numerators i.e. for 8689,8770 is 1
LCM of denominators i.e. for 165,412 is 67980.
Thus, GCF of Fractions is 1/67980.Finally, GCF of Fractions for 8689/165, 8770/412 is 1/67980.