GCF of 8244/707, 1385/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8244/707, 1385/165 i.e 1/116655 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8244/707, 1385/165.
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 8244/707,1385/165?
Given fractions are 8244/707,1385/165
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 8244/707,1385/165, numerators are 8244,1385
Denominators are 707,165
The GCF of 8244,1385 is 1 .
LCM of 707,165 is 116655.
The greatest common factor of 8244/707,1385/165 = [GCF of 8244,1385]/[LCM of 707,165]= 1/116655
Therefore, the GCF of 8244/707,1385/165 is 1/116655.
To find the highest common factor of 8244,1385, we have to find the factors of both numbers and list the highest common factor.
The factors of 8244 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 229, 458, 687, 916, 1374, 2061, 2748, 4122, 8244
The factors of 1385 are 1, 5, 277, 1385
The HCF of 8244,1385 is 1.
Lets's calculate GCF of 8244,1385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8244,1385 By Matching Biggest Common Factor Method
Now, list down the factors of 8244
:1,2,3,4,6,9,12,18,36,229,458,687,916,1374,2061,2748,4122,8244
Now, list down the factors of 1385
:1,5,277,1385
Greatest Common Factor
We found the factors 8244,1385 . The biggest common factor number is the GCF number.
So the greatest common factor 8244,1385 is 1.
Lets's calculate LCM of 707,165
Given numbers has no common factors except 1. So, there LCM is their product i.e 116655
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/116655
Therefore, the GCF of Fractions 8244/707,1385/165 is 1/116655
Least Common Multiple of 707,165 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 707,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(707,165) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(707,165) x common factors =1 x 1 = 1
LCM(707,165) = ( 707 × 165 ) / 1
LCM(707,165) = 116655 / 1
LCM(707,165) = 116655
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8244/707, 1385/165
1. What is the HCF of 8244,1385?
The HCF of 8244,1385 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 8244/707, 1385/165?
Answer: GCF of Numerators as per given numbers 8244/707, 1385/165 is
GCF of Numerators i.e. for 8244,1385 is 1
LCM of denominators i.e. for 707,165 is 116655.
Thus, GCF of Fractions is 1/116655.Finally, GCF of Fractions for 8244/707, 1385/165 is 1/116655.