GCF of 9499/865, 6127/165
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9499/865, 6127/165 i.e 1/28545 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9499/865, 6127/165.
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 9499/865,6127/165?
Given fractions are 9499/865,6127/165
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 9499/865,6127/165, numerators are 9499,6127
Denominators are 865,165
The GCF of 9499,6127 is 1 .
LCM of 865,165 is 28545.
The greatest common factor of 9499/865,6127/165 = [GCF of 9499,6127]/[LCM of 865,165]= 1/28545
Therefore, the GCF of 9499/865,6127/165 is 1/28545.
To find the highest common factor of 9499,6127, we have to find the factors of both numbers and list the highest common factor.
The factors of 9499 are 1, 7, 23, 59, 161, 413, 1357, 9499
The factors of 6127 are 1, 11, 557, 6127
The HCF of 9499,6127 is 1.
Lets's calculate GCF of 9499,6127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9499,6127 By Matching Biggest Common Factor Method
Now, list down the factors of 9499
:1,7,23,59,161,413,1357,9499
Now, list down the factors of 6127
:1,11,557,6127
Greatest Common Factor
We found the factors 9499,6127 . The biggest common factor number is the GCF number.
So the greatest common factor 9499,6127 is 1.
Lets's calculate LCM of 865,165
| 5 | 865, 165 |
| 173, 33 |
∴ So the LCM of the given numbers is 5 x 173 x 33 = 28545
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28545
Therefore, the GCF of Fractions 9499/865,6127/165 is 1/28545
Least Common Multiple of 865,165 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 865,165 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,165) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,165) x common factors =5 x 1 = 5
LCM(865,165) = ( 865 × 165 ) / 5
LCM(865,165) = 142725 / 5
LCM(865,165) = 28545
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FAQs on GCF of Fractions of 9499/865, 6127/165
1. What is the HCF of 9499,6127?
The HCF of 9499,6127 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 9499/865, 6127/165?
Answer: GCF of Numerators as per given numbers 9499/865, 6127/165 is
GCF of Numerators i.e. for 9499,6127 is 1
LCM of denominators i.e. for 865,165 is 28545.
Thus, GCF of Fractions is 1/28545.Finally, GCF of Fractions for 9499/865, 6127/165 is 1/28545.