GCF of 1001/415, 7830/1170
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1001/415, 7830/1170 i.e 1/97110 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1001/415, 7830/1170.
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 1001/415,7830/1170?
Given fractions are 1001/415,7830/1170
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 1001/415,7830/1170, numerators are 1001,7830
Denominators are 415,1170
The GCF of 1001,7830 is 1 .
LCM of 415,1170 is 97110.
The greatest common factor of 1001/415,7830/1170 = [GCF of 1001,7830]/[LCM of 415,1170]= 1/97110
Therefore, the GCF of 1001/415,7830/1170 is 1/97110.
To find the highest common factor of 1001,7830, we have to find the factors of both numbers and list the highest common factor.
The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001
The factors of 7830 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 87, 90, 135, 145, 174, 261, 270, 290, 435, 522, 783, 870, 1305, 1566, 2610, 3915, 7830
The HCF of 1001,7830 is 1.
Lets's calculate GCF of 1001,7830
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1001,7830 By Matching Biggest Common Factor Method
Now, list down the factors of 1001
:1,7,11,13,77,91,143,1001
Now, list down the factors of 7830
:1,2,3,5,6,9,10,15,18,27,29,30,45,54,58,87,90,135,145,174,261,270,290,435,522,783,870,1305,1566,2610,3915,7830
Greatest Common Factor
We found the factors 1001,7830 . The biggest common factor number is the GCF number.
So the greatest common factor 1001,7830 is 1.
Lets's calculate LCM of 415,1170
| 5 | 415, 1170 |
| 83, 234 |
∴ So the LCM of the given numbers is 5 x 83 x 234 = 97110
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/97110
Therefore, the GCF of Fractions 1001/415,7830/1170 is 1/97110
Least Common Multiple of 415,1170 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 415,1170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,1170) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(415,1170) x common factors =5 x 1 = 5
LCM(415,1170) = ( 415 × 1170 ) / 5
LCM(415,1170) = 485550 / 5
LCM(415,1170) = 97110
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FAQs on GCF of Fractions of 1001/415, 7830/1170
1. What is the HCF of 1001,7830?
The HCF of 1001,7830 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 1001/415, 7830/1170?
Answer: GCF of Numerators as per given numbers 1001/415, 7830/1170 is
GCF of Numerators i.e. for 1001,7830 is 1
LCM of denominators i.e. for 415,1170 is 97110.
Thus, GCF of Fractions is 1/97110.Finally, GCF of Fractions for 1001/415, 7830/1170 is 1/97110.