GCF of 5120/965, 1530/8045
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5120/965, 1530/8045 i.e 10/1552685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5120/965, 1530/8045.
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 5120/965,1530/8045?
Given fractions are 5120/965,1530/8045
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 5120/965,1530/8045, numerators are 5120,1530
Denominators are 965,8045
The GCF of 5120,1530 is 10 .
LCM of 965,8045 is 1552685.
The greatest common factor of 5120/965,1530/8045 = [GCF of 5120,1530]/[LCM of 965,8045]= 10/1552685
Therefore, the GCF of 5120/965,1530/8045 is 10/1552685.
To find the highest common factor of 5120,1530, we have to find the factors of both numbers and list the highest common factor.
The factors of 5120 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 256, 320, 512, 640, 1024, 1280, 2560, 5120
The factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
The HCF of 5120,1530 is 10.
Lets's calculate GCF of 5120,1530
| 2 | 5120, 1530 |
| 5 | 2560, 765 |
| 512, 153 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5120,1530 By Matching Biggest Common Factor Method
Now, list down the factors of 5120
:1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,512,640,1024,1280,2560,5120
Now, list down the factors of 1530
:1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Greatest Common Factor
We found the factors 5120,1530 . The biggest common factor number is the GCF number.
So the greatest common factor 5120,1530 is 10.
Lets's calculate LCM of 965,8045
| 5 | 965, 8045 |
| 193, 1609 |
∴ So the LCM of the given numbers is 5 x 193 x 1609 = 1552685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1552685
Therefore, the GCF of Fractions 5120/965,1530/8045 is 10/1552685
Least Common Multiple of 965,8045 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 965,8045 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(965,8045) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(965,8045) x common factors =5 x 1 = 5
LCM(965,8045) = ( 965 × 8045 ) / 5
LCM(965,8045) = 7763425 / 5
LCM(965,8045) = 1552685
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FAQs on GCF of Fractions of 5120/965, 1530/8045
1. What is the HCF of 5120,1530?
The HCF of 5120,1530 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 5120/965, 1530/8045?
Answer: GCF of Numerators as per given numbers 5120/965, 1530/8045 is
GCF of Numerators i.e. for 5120,1530 is 10
LCM of denominators i.e. for 965,8045 is 1552685.
Thus, GCF of Fractions is 10/1552685.Finally, GCF of Fractions for 5120/965, 1530/8045 is 10/1552685.