GCF of 8255/590, 6731/3102
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8255/590, 6731/3102 i.e 127/915090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8255/590, 6731/3102.
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 8255/590,6731/3102?
Given fractions are 8255/590,6731/3102
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 8255/590,6731/3102, numerators are 8255,6731
Denominators are 590,3102
The GCF of 8255,6731 is 127 .
LCM of 590,3102 is 915090.
The greatest common factor of 8255/590,6731/3102 = [GCF of 8255,6731]/[LCM of 590,3102]= 127/915090
Therefore, the GCF of 8255/590,6731/3102 is 127/915090.
To find the highest common factor of 8255,6731, we have to find the factors of both numbers and list the highest common factor.
The factors of 8255 are 1, 5, 13, 65, 127, 635, 1651, 8255
The factors of 6731 are 1, 53, 127, 6731
The HCF of 8255,6731 is 127.
Lets's calculate GCF of 8255,6731
| 127 | 8255, 6731 |
| 65, 53 |
∴ So the GCF of the given numbers is 127 = 127
Greatest Common Factor of 8255,6731 By Matching Biggest Common Factor Method
Now, list down the factors of 8255
:1,5,13,65,127,635,1651,8255
Now, list down the factors of 6731
:1,53,127,6731
Greatest Common Factor
We found the factors 8255,6731 . The biggest common factor number is the GCF number.
So the greatest common factor 8255,6731 is 127.
Lets's calculate LCM of 590,3102
| 2 | 590, 3102 |
| 295, 1551 |
∴ So the LCM of the given numbers is 2 x 295 x 1551 = 915090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 127/915090
Therefore, the GCF of Fractions 8255/590,6731/3102 is 127/915090
Least Common Multiple of 590,3102 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 590,3102 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,3102) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(590,3102) x common factors =2 x 1 = 2
LCM(590,3102) = ( 590 × 3102 ) / 2
LCM(590,3102) = 1830180 / 2
LCM(590,3102) = 915090
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FAQs on GCF of Fractions of 8255/590, 6731/3102
1. What is the HCF of 8255,6731?
The HCF of 8255,6731 is 127
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 8255/590, 6731/3102?
Answer: GCF of Numerators as per given numbers 8255/590, 6731/3102 is
GCF of Numerators i.e. for 8255,6731 is 127
LCM of denominators i.e. for 590,3102 is 915090.
Thus, GCF of Fractions is 127/915090.Finally, GCF of Fractions for 8255/590, 6731/3102 is 127/915090.