GCF of 6001/714, 3032/476
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6001/714, 3032/476 i.e 1/1428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6001/714, 3032/476.
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 6001/714,3032/476?
Given fractions are 6001/714,3032/476
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 6001/714,3032/476, numerators are 6001,3032
Denominators are 714,476
The GCF of 6001,3032 is 1 .
LCM of 714,476 is 1428.
The greatest common factor of 6001/714,3032/476 = [GCF of 6001,3032]/[LCM of 714,476]= 1/1428
Therefore, the GCF of 6001/714,3032/476 is 1/1428.
To find the highest common factor of 6001,3032, we have to find the factors of both numbers and list the highest common factor.
The factors of 6001 are 1, 17, 353, 6001
The factors of 3032 are 1, 2, 4, 8, 379, 758, 1516, 3032
The HCF of 6001,3032 is 1.
Lets's calculate GCF of 6001,3032
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6001,3032 By Matching Biggest Common Factor Method
Now, list down the factors of 6001
:1,17,353,6001
Now, list down the factors of 3032
:1,2,4,8,379,758,1516,3032
Greatest Common Factor
We found the factors 6001,3032 . The biggest common factor number is the GCF number.
So the greatest common factor 6001,3032 is 1.
Lets's calculate LCM of 714,476
| 2 | 714, 476 |
| 7 | 357, 238 |
| 17 | 51, 34 |
| 3, 2 |
∴ So the LCM of the given numbers is 2 x 7 x 17 x 3 x 2 = 1428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1428
Therefore, the GCF of Fractions 6001/714,3032/476 is 1/1428
Least Common Multiple of 714,476 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 714,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,476) = 238
common factors(in case of two or more numbers have common factors) = 1
GCF(714,476) x common factors =238 x 1 = 238
LCM(714,476) = ( 714 × 476 ) / 238
LCM(714,476) = 339864 / 238
LCM(714,476) = 1428
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FAQs on GCF of Fractions of 6001/714, 3032/476
1. What is the HCF of 6001,3032?
The HCF of 6001,3032 is 1
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 6001/714, 3032/476?
Answer: GCF of Numerators as per given numbers 6001/714, 3032/476 is
GCF of Numerators i.e. for 6001,3032 is 1
LCM of denominators i.e. for 714,476 is 1428.
Thus, GCF of Fractions is 1/1428.Finally, GCF of Fractions for 6001/714, 3032/476 is 1/1428.