GCF of 8001/173, 3150/7141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8001/173, 3150/7141 i.e 63/1235393 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8001/173, 3150/7141.
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 8001/173,3150/7141?
Given fractions are 8001/173,3150/7141
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 8001/173,3150/7141, numerators are 8001,3150
Denominators are 173,7141
The GCF of 8001,3150 is 63 .
LCM of 173,7141 is 1235393.
The greatest common factor of 8001/173,3150/7141 = [GCF of 8001,3150]/[LCM of 173,7141]= 63/1235393
Therefore, the GCF of 8001/173,3150/7141 is 63/1235393.
To find the highest common factor of 8001,3150, we have to find the factors of both numbers and list the highest common factor.
The factors of 8001 are 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143, 2667, 8001
The factors of 3150 are 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 30, 35, 42, 45, 50, 63, 70, 75, 90, 105, 126, 150, 175, 210, 225, 315, 350, 450, 525, 630, 1050, 1575, 3150
The HCF of 8001,3150 is 63.
Lets's calculate GCF of 8001,3150
| 3 | 8001, 3150 |
| 3 | 2667, 1050 |
| 7 | 889, 350 |
| 127, 50 |
∴ So the GCF of the given numbers is 3 x 3 x 7 = 63
Greatest Common Factor of 8001,3150 By Matching Biggest Common Factor Method
Now, list down the factors of 8001
:1,3,7,9,21,63,127,381,889,1143,2667,8001
Now, list down the factors of 3150
:1,2,3,5,6,7,9,10,14,15,18,21,25,30,35,42,45,50,63,70,75,90,105,126,150,175,210,225,315,350,450,525,630,1050,1575,3150
Greatest Common Factor
We found the factors 8001,3150 . The biggest common factor number is the GCF number.
So the greatest common factor 8001,3150 is 63.
Lets's calculate LCM of 173,7141
Given numbers has no common factors except 1. So, there LCM is their product i.e 1235393
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 63/1235393
Therefore, the GCF of Fractions 8001/173,3150/7141 is 63/1235393
Least Common Multiple of 173,7141 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 173,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,7141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,7141) x common factors =1 x 1 = 1
LCM(173,7141) = ( 173 × 7141 ) / 1
LCM(173,7141) = 1235393 / 1
LCM(173,7141) = 1235393
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FAQs on GCF of Fractions of 8001/173, 3150/7141
1. What is the HCF of 8001,3150?
The HCF of 8001,3150 is 63
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 8001/173, 3150/7141?
Answer: GCF of Numerators as per given numbers 8001/173, 3150/7141 is
GCF of Numerators i.e. for 8001,3150 is 63
LCM of denominators i.e. for 173,7141 is 1235393.
Thus, GCF of Fractions is 63/1235393.Finally, GCF of Fractions for 8001/173, 3150/7141 is 63/1235393.