GCF of 9249/579, 5616/7942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9249/579, 5616/7942 i.e 3/4598418 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9249/579, 5616/7942.
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 9249/579,5616/7942?
Given fractions are 9249/579,5616/7942
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 9249/579,5616/7942, numerators are 9249,5616
Denominators are 579,7942
The GCF of 9249,5616 is 3 .
LCM of 579,7942 is 4598418.
The greatest common factor of 9249/579,5616/7942 = [GCF of 9249,5616]/[LCM of 579,7942]= 3/4598418
Therefore, the GCF of 9249/579,5616/7942 is 3/4598418.
To find the highest common factor of 9249,5616, we have to find the factors of both numbers and list the highest common factor.
The factors of 9249 are 1, 3, 3083, 9249
The factors of 5616 are 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 36, 39, 48, 52, 54, 72, 78, 104, 108, 117, 144, 156, 208, 216, 234, 312, 351, 432, 468, 624, 702, 936, 1404, 1872, 2808, 5616
The HCF of 9249,5616 is 3.
Lets's calculate GCF of 9249,5616
| 3 | 9249, 5616 |
| 3083, 1872 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9249,5616 By Matching Biggest Common Factor Method
Now, list down the factors of 9249
:1,3,3083,9249
Now, list down the factors of 5616
:1,2,3,4,6,8,9,12,13,16,18,24,26,27,36,39,48,52,54,72,78,104,108,117,144,156,208,216,234,312,351,432,468,624,702,936,1404,1872,2808,5616
Greatest Common Factor
We found the factors 9249,5616 . The biggest common factor number is the GCF number.
So the greatest common factor 9249,5616 is 3.
Lets's calculate LCM of 579,7942
Given numbers has no common factors except 1. So, there LCM is their product i.e 4598418
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4598418
Therefore, the GCF of Fractions 9249/579,5616/7942 is 3/4598418
Least Common Multiple of 579,7942 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 579,7942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(579,7942) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(579,7942) x common factors =1 x 1 = 1
LCM(579,7942) = ( 579 × 7942 ) / 1
LCM(579,7942) = 4598418 / 1
LCM(579,7942) = 4598418
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FAQs on GCF of Fractions of 9249/579, 5616/7942
1. What is the HCF of 9249,5616?
The HCF of 9249,5616 is 3
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 9249/579, 5616/7942?
Answer: GCF of Numerators as per given numbers 9249/579, 5616/7942 is
GCF of Numerators i.e. for 9249,5616 is 3
LCM of denominators i.e. for 579,7942 is 4598418.
Thus, GCF of Fractions is 3/4598418.Finally, GCF of Fractions for 9249/579, 5616/7942 is 3/4598418.