GCF of 5865/551, 9177/9473
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5865/551, 9177/9473 i.e 69/5219623 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5865/551, 9177/9473.
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 5865/551,9177/9473?
Given fractions are 5865/551,9177/9473
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 5865/551,9177/9473, numerators are 5865,9177
Denominators are 551,9473
The GCF of 5865,9177 is 69 .
LCM of 551,9473 is 5219623.
The greatest common factor of 5865/551,9177/9473 = [GCF of 5865,9177]/[LCM of 551,9473]= 69/5219623
Therefore, the GCF of 5865/551,9177/9473 is 69/5219623.
To find the highest common factor of 5865,9177, we have to find the factors of both numbers and list the highest common factor.
The factors of 5865 are 1, 3, 5, 15, 17, 23, 51, 69, 85, 115, 255, 345, 391, 1173, 1955, 5865
The factors of 9177 are 1, 3, 7, 19, 21, 23, 57, 69, 133, 161, 399, 437, 483, 1311, 3059, 9177
The HCF of 5865,9177 is 69.
Lets's calculate GCF of 5865,9177
| 3 | 5865, 9177 |
| 23 | 1955, 3059 |
| 85, 133 |
∴ So the GCF of the given numbers is 3 x 23 = 69
Greatest Common Factor of 5865,9177 By Matching Biggest Common Factor Method
Now, list down the factors of 5865
:1,3,5,15,17,23,51,69,85,115,255,345,391,1173,1955,5865
Now, list down the factors of 9177
:1,3,7,19,21,23,57,69,133,161,399,437,483,1311,3059,9177
Greatest Common Factor
We found the factors 5865,9177 . The biggest common factor number is the GCF number.
So the greatest common factor 5865,9177 is 69.
Lets's calculate LCM of 551,9473
Given numbers has no common factors except 1. So, there LCM is their product i.e 5219623
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 69/5219623
Therefore, the GCF of Fractions 5865/551,9177/9473 is 69/5219623
Least Common Multiple of 551,9473 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 551,9473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(551,9473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(551,9473) x common factors =1 x 1 = 1
LCM(551,9473) = ( 551 × 9473 ) / 1
LCM(551,9473) = 5219623 / 1
LCM(551,9473) = 5219623
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FAQs on GCF of Fractions of 5865/551, 9177/9473
1. What is the HCF of 5865,9177?
The HCF of 5865,9177 is 69
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 5865/551, 9177/9473?
Answer: GCF of Numerators as per given numbers 5865/551, 9177/9473 is
GCF of Numerators i.e. for 5865,9177 is 69
LCM of denominators i.e. for 551,9473 is 5219623.
Thus, GCF of Fractions is 69/5219623.Finally, GCF of Fractions for 5865/551, 9177/9473 is 69/5219623.