GCF of 8937/585, 1596/4829
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8937/585, 1596/4829 i.e 3/2824965 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8937/585, 1596/4829.
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 8937/585,1596/4829?
Given fractions are 8937/585,1596/4829
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 8937/585,1596/4829, numerators are 8937,1596
Denominators are 585,4829
The GCF of 8937,1596 is 3 .
LCM of 585,4829 is 2824965.
The greatest common factor of 8937/585,1596/4829 = [GCF of 8937,1596]/[LCM of 585,4829]= 3/2824965
Therefore, the GCF of 8937/585,1596/4829 is 3/2824965.
To find the highest common factor of 8937,1596, we have to find the factors of both numbers and list the highest common factor.
The factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937
The factors of 1596 are 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 57, 76, 84, 114, 133, 228, 266, 399, 532, 798, 1596
The HCF of 8937,1596 is 3.
Lets's calculate GCF of 8937,1596
| 3 | 8937, 1596 |
| 2979, 532 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8937,1596 By Matching Biggest Common Factor Method
Now, list down the factors of 8937
:1,3,9,27,331,993,2979,8937
Now, list down the factors of 1596
:1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596
Greatest Common Factor
We found the factors 8937,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 8937,1596 is 3.
Lets's calculate LCM of 585,4829
Given numbers has no common factors except 1. So, there LCM is their product i.e 2824965
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2824965
Therefore, the GCF of Fractions 8937/585,1596/4829 is 3/2824965
Least Common Multiple of 585,4829 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 585,4829 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,4829) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(585,4829) x common factors =1 x 1 = 1
LCM(585,4829) = ( 585 × 4829 ) / 1
LCM(585,4829) = 2824965 / 1
LCM(585,4829) = 2824965
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FAQs on GCF of Fractions of 8937/585, 1596/4829
1. What is the HCF of 8937,1596?
The HCF of 8937,1596 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 8937/585, 1596/4829?
Answer: GCF of Numerators as per given numbers 8937/585, 1596/4829 is
GCF of Numerators i.e. for 8937,1596 is 3
LCM of denominators i.e. for 585,4829 is 2824965.
Thus, GCF of Fractions is 3/2824965.Finally, GCF of Fractions for 8937/585, 1596/4829 is 3/2824965.