GCF of 8029/603, 3227/1302
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8029/603, 3227/1302 i.e 7/261702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8029/603, 3227/1302.
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 8029/603,3227/1302?
Given fractions are 8029/603,3227/1302
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 8029/603,3227/1302, numerators are 8029,3227
Denominators are 603,1302
The GCF of 8029,3227 is 7 .
LCM of 603,1302 is 261702.
The greatest common factor of 8029/603,3227/1302 = [GCF of 8029,3227]/[LCM of 603,1302]= 7/261702
Therefore, the GCF of 8029/603,3227/1302 is 7/261702.
To find the highest common factor of 8029,3227, we have to find the factors of both numbers and list the highest common factor.
The factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029
The factors of 3227 are 1, 7, 461, 3227
The HCF of 8029,3227 is 7.
Lets's calculate GCF of 8029,3227
| 7 | 8029, 3227 |
| 1147, 461 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 8029,3227 By Matching Biggest Common Factor Method
Now, list down the factors of 8029
:1,7,31,37,217,259,1147,8029
Now, list down the factors of 3227
:1,7,461,3227
Greatest Common Factor
We found the factors 8029,3227 . The biggest common factor number is the GCF number.
So the greatest common factor 8029,3227 is 7.
Lets's calculate LCM of 603,1302
| 3 | 603, 1302 |
| 201, 434 |
∴ So the LCM of the given numbers is 3 x 201 x 434 = 261702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/261702
Therefore, the GCF of Fractions 8029/603,3227/1302 is 7/261702
Least Common Multiple of 603,1302 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 603,1302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,1302) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(603,1302) x common factors =3 x 1 = 3
LCM(603,1302) = ( 603 × 1302 ) / 3
LCM(603,1302) = 785106 / 3
LCM(603,1302) = 261702
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FAQs on GCF of Fractions of 8029/603, 3227/1302
1. What is the HCF of 8029,3227?
The HCF of 8029,3227 is 7
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 8029/603, 3227/1302?
Answer: GCF of Numerators as per given numbers 8029/603, 3227/1302 is
GCF of Numerators i.e. for 8029,3227 is 7
LCM of denominators i.e. for 603,1302 is 261702.
Thus, GCF of Fractions is 7/261702.Finally, GCF of Fractions for 8029/603, 3227/1302 is 7/261702.