GCF of 3464/506, 6080/523
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3464/506, 6080/523 i.e 8/264638 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3464/506, 6080/523.
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 3464/506,6080/523?
Given fractions are 3464/506,6080/523
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 3464/506,6080/523, numerators are 3464,6080
Denominators are 506,523
The GCF of 3464,6080 is 8 .
LCM of 506,523 is 264638.
The greatest common factor of 3464/506,6080/523 = [GCF of 3464,6080]/[LCM of 506,523]= 8/264638
Therefore, the GCF of 3464/506,6080/523 is 8/264638.
To find the highest common factor of 3464,6080, we have to find the factors of both numbers and list the highest common factor.
The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464
The factors of 6080 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 64, 76, 80, 95, 152, 160, 190, 304, 320, 380, 608, 760, 1216, 1520, 3040, 6080
The HCF of 3464,6080 is 8.
Lets's calculate GCF of 3464,6080
| 2 | 3464, 6080 |
| 2 | 1732, 3040 |
| 2 | 866, 1520 |
| 433, 760 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 3464,6080 By Matching Biggest Common Factor Method
Now, list down the factors of 3464
:1,2,4,8,433,866,1732,3464
Now, list down the factors of 6080
:1,2,4,5,8,10,16,19,20,32,38,40,64,76,80,95,152,160,190,304,320,380,608,760,1216,1520,3040,6080
Greatest Common Factor
We found the factors 3464,6080 . The biggest common factor number is the GCF number.
So the greatest common factor 3464,6080 is 8.
Lets's calculate LCM of 506,523
Given numbers has no common factors except 1. So, there LCM is their product i.e 264638
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/264638
Therefore, the GCF of Fractions 3464/506,6080/523 is 8/264638
Least Common Multiple of 506,523 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 506,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(506,523) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(506,523) x common factors =1 x 1 = 1
LCM(506,523) = ( 506 × 523 ) / 1
LCM(506,523) = 264638 / 1
LCM(506,523) = 264638
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FAQs on GCF of Fractions of 3464/506, 6080/523
1. What is the HCF of 3464,6080?
The HCF of 3464,6080 is 8
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 3464/506, 6080/523?
Answer: GCF of Numerators as per given numbers 3464/506, 6080/523 is
GCF of Numerators i.e. for 3464,6080 is 8
LCM of denominators i.e. for 506,523 is 264638.
Thus, GCF of Fractions is 8/264638.Finally, GCF of Fractions for 3464/506, 6080/523 is 8/264638.