GCF of 7507/711, 2001/1854
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7507/711, 2001/1854 i.e 1/146466 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7507/711, 2001/1854.
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 7507/711,2001/1854?
Given fractions are 7507/711,2001/1854
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 7507/711,2001/1854, numerators are 7507,2001
Denominators are 711,1854
The GCF of 7507,2001 is 1 .
LCM of 711,1854 is 146466.
The greatest common factor of 7507/711,2001/1854 = [GCF of 7507,2001]/[LCM of 711,1854]= 1/146466
Therefore, the GCF of 7507/711,2001/1854 is 1/146466.
To find the highest common factor of 7507,2001, we have to find the factors of both numbers and list the highest common factor.
The factors of 7507 are 1, 7507
The factors of 2001 are 1, 3, 23, 29, 69, 87, 667, 2001
The HCF of 7507,2001 is 1.
Lets's calculate GCF of 7507,2001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7507,2001 By Matching Biggest Common Factor Method
Now, list down the factors of 7507
:1,7507
Now, list down the factors of 2001
:1,3,23,29,69,87,667,2001
Greatest Common Factor
We found the factors 7507,2001 . The biggest common factor number is the GCF number.
So the greatest common factor 7507,2001 is 1.
Lets's calculate LCM of 711,1854
| 3 | 711, 1854 |
| 3 | 237, 618 |
| 79, 206 |
∴ So the LCM of the given numbers is 3 x 3 x 79 x 206 = 146466
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/146466
Therefore, the GCF of Fractions 7507/711,2001/1854 is 1/146466
Least Common Multiple of 711,1854 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 711,1854 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,1854) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(711,1854) x common factors =9 x 1 = 9
LCM(711,1854) = ( 711 × 1854 ) / 9
LCM(711,1854) = 1318194 / 9
LCM(711,1854) = 146466
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FAQs on GCF of Fractions of 7507/711, 2001/1854
1. What is the HCF of 7507,2001?
The HCF of 7507,2001 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 7507/711, 2001/1854?
Answer: GCF of Numerators as per given numbers 7507/711, 2001/1854 is
GCF of Numerators i.e. for 7507,2001 is 1
LCM of denominators i.e. for 711,1854 is 146466.
Thus, GCF of Fractions is 1/146466.Finally, GCF of Fractions for 7507/711, 2001/1854 is 1/146466.