GCF of 7590/923, 3200/3278
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7590/923, 3200/3278 i.e 10/3025594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7590/923, 3200/3278.
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 7590/923,3200/3278?
Given fractions are 7590/923,3200/3278
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 7590/923,3200/3278, numerators are 7590,3200
Denominators are 923,3278
The GCF of 7590,3200 is 10 .
LCM of 923,3278 is 3025594.
The greatest common factor of 7590/923,3200/3278 = [GCF of 7590,3200]/[LCM of 923,3278]= 10/3025594
Therefore, the GCF of 7590/923,3200/3278 is 10/3025594.
To find the highest common factor of 7590,3200, we have to find the factors of both numbers and list the highest common factor.
The factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590
The factors of 3200 are 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 64, 80, 100, 128, 160, 200, 320, 400, 640, 800, 1600, 3200
The HCF of 7590,3200 is 10.
Lets's calculate GCF of 7590,3200
| 2 | 7590, 3200 |
| 5 | 3795, 1600 |
| 759, 320 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7590,3200 By Matching Biggest Common Factor Method
Now, list down the factors of 7590
:1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590
Now, list down the factors of 3200
:1,2,4,5,8,10,16,20,25,32,40,50,64,80,100,128,160,200,320,400,640,800,1600,3200
Greatest Common Factor
We found the factors 7590,3200 . The biggest common factor number is the GCF number.
So the greatest common factor 7590,3200 is 10.
Lets's calculate LCM of 923,3278
Given numbers has no common factors except 1. So, there LCM is their product i.e 3025594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3025594
Therefore, the GCF of Fractions 7590/923,3200/3278 is 10/3025594
Least Common Multiple of 923,3278 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 923,3278 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(923,3278) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(923,3278) x common factors =1 x 1 = 1
LCM(923,3278) = ( 923 × 3278 ) / 1
LCM(923,3278) = 3025594 / 1
LCM(923,3278) = 3025594
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 7590/923, 3200/3278
1. What is the HCF of 7590,3200?
The HCF of 7590,3200 is 10
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 7590/923, 3200/3278?
Answer: GCF of Numerators as per given numbers 7590/923, 3200/3278 is
GCF of Numerators i.e. for 7590,3200 is 10
LCM of denominators i.e. for 923,3278 is 3025594.
Thus, GCF of Fractions is 10/3025594.Finally, GCF of Fractions for 7590/923, 3200/3278 is 10/3025594.