GCF of 590/149, 6528/8909
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 590/149, 6528/8909 i.e 2/1327441 easily. The following is the detailed procedure to determine the greatest common factor of fractions 590/149, 6528/8909.
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 590/149,6528/8909?
Given fractions are 590/149,6528/8909
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 590/149,6528/8909, numerators are 590,6528
Denominators are 149,8909
The GCF of 590,6528 is 2 .
LCM of 149,8909 is 1327441.
The greatest common factor of 590/149,6528/8909 = [GCF of 590,6528]/[LCM of 149,8909]= 2/1327441
Therefore, the GCF of 590/149,6528/8909 is 2/1327441.
To find the highest common factor of 590,6528, we have to find the factors of both numbers and list the highest common factor.
The factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590
The factors of 6528 are 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 48, 51, 64, 68, 96, 102, 128, 136, 192, 204, 272, 384, 408, 544, 816, 1088, 1632, 2176, 3264, 6528
The HCF of 590,6528 is 2.
Lets's calculate GCF of 590,6528
| 2 | 590, 6528 |
| 295, 3264 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 590,6528 By Matching Biggest Common Factor Method
Now, list down the factors of 590
:1,2,5,10,59,118,295,590
Now, list down the factors of 6528
:1,2,3,4,6,8,12,16,17,24,32,34,48,51,64,68,96,102,128,136,192,204,272,384,408,544,816,1088,1632,2176,3264,6528
Greatest Common Factor
We found the factors 590,6528 . The biggest common factor number is the GCF number.
So the greatest common factor 590,6528 is 2.
Lets's calculate LCM of 149,8909
Given numbers has no common factors except 1. So, there LCM is their product i.e 1327441
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1327441
Therefore, the GCF of Fractions 590/149,6528/8909 is 2/1327441
Least Common Multiple of 149,8909 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 149,8909 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,8909) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,8909) x common factors =1 x 1 = 1
LCM(149,8909) = ( 149 × 8909 ) / 1
LCM(149,8909) = 1327441 / 1
LCM(149,8909) = 1327441
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FAQs on GCF of Fractions of 590/149, 6528/8909
1. What is the HCF of 590,6528?
The HCF of 590,6528 is 2
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 590/149, 6528/8909?
Answer: GCF of Numerators as per given numbers 590/149, 6528/8909 is
GCF of Numerators i.e. for 590,6528 is 2
LCM of denominators i.e. for 149,8909 is 1327441.
Thus, GCF of Fractions is 2/1327441.Finally, GCF of Fractions for 590/149, 6528/8909 is 2/1327441.