GCF of 6160/900, 1024/2590
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6160/900, 1024/2590 i.e 16/233100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6160/900, 1024/2590.
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 6160/900,1024/2590?
Given fractions are 6160/900,1024/2590
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 6160/900,1024/2590, numerators are 6160,1024
Denominators are 900,2590
The GCF of 6160,1024 is 16 .
LCM of 900,2590 is 233100.
The greatest common factor of 6160/900,1024/2590 = [GCF of 6160,1024]/[LCM of 900,2590]= 16/233100
Therefore, the GCF of 6160/900,1024/2590 is 16/233100.
To find the highest common factor of 6160,1024, we have to find the factors of both numbers and list the highest common factor.
The factors of 6160 are 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 55, 56, 70, 77, 80, 88, 110, 112, 140, 154, 176, 220, 280, 308, 385, 440, 560, 616, 770, 880, 1232, 1540, 3080, 6160
The factors of 1024 are 1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024
The HCF of 6160,1024 is 16.
Lets's calculate GCF of 6160,1024
| 2 | 6160, 1024 |
| 2 | 3080, 512 |
| 2 | 1540, 256 |
| 2 | 770, 128 |
| 385, 64 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 6160,1024 By Matching Biggest Common Factor Method
Now, list down the factors of 6160
:1,2,4,5,7,8,10,11,14,16,20,22,28,35,40,44,55,56,70,77,80,88,110,112,140,154,176,220,280,308,385,440,560,616,770,880,1232,1540,3080,6160
Now, list down the factors of 1024
:1,2,4,8,16,32,64,128,256,512,1024
Greatest Common Factor
We found the factors 6160,1024 . The biggest common factor number is the GCF number.
So the greatest common factor 6160,1024 is 16.
Lets's calculate LCM of 900,2590
| 2 | 900, 2590 |
| 5 | 450, 1295 |
| 90, 259 |
∴ So the LCM of the given numbers is 2 x 5 x 90 x 259 = 233100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/233100
Therefore, the GCF of Fractions 6160/900,1024/2590 is 16/233100
Least Common Multiple of 900,2590 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 900,2590 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,2590) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(900,2590) x common factors =10 x 1 = 10
LCM(900,2590) = ( 900 × 2590 ) / 10
LCM(900,2590) = 2331000 / 10
LCM(900,2590) = 233100
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FAQs on GCF of Fractions of 6160/900, 1024/2590
1. What is the HCF of 6160,1024?
The HCF of 6160,1024 is 16
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 6160/900, 1024/2590?
Answer: GCF of Numerators as per given numbers 6160/900, 1024/2590 is
GCF of Numerators i.e. for 6160,1024 is 16
LCM of denominators i.e. for 900,2590 is 233100.
Thus, GCF of Fractions is 16/233100.Finally, GCF of Fractions for 6160/900, 1024/2590 is 16/233100.