GCF of 9312/507, 1001/759
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9312/507, 1001/759 i.e 1/128271 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9312/507, 1001/759.
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 9312/507,1001/759?
Given fractions are 9312/507,1001/759
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 9312/507,1001/759, numerators are 9312,1001
Denominators are 507,759
The GCF of 9312,1001 is 1 .
LCM of 507,759 is 128271.
The greatest common factor of 9312/507,1001/759 = [GCF of 9312,1001]/[LCM of 507,759]= 1/128271
Therefore, the GCF of 9312/507,1001/759 is 1/128271.
To find the highest common factor of 9312,1001, we have to find the factors of both numbers and list the highest common factor.
The factors of 9312 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656, 9312
The factors of 1001 are 1, 7, 11, 13, 77, 91, 143, 1001
The HCF of 9312,1001 is 1.
Lets's calculate GCF of 9312,1001
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9312,1001 By Matching Biggest Common Factor Method
Now, list down the factors of 9312
:1,2,3,4,6,8,12,16,24,32,48,96,97,194,291,388,582,776,1164,1552,2328,3104,4656,9312
Now, list down the factors of 1001
:1,7,11,13,77,91,143,1001
Greatest Common Factor
We found the factors 9312,1001 . The biggest common factor number is the GCF number.
So the greatest common factor 9312,1001 is 1.
Lets's calculate LCM of 507,759
| 3 | 507, 759 |
| 169, 253 |
∴ So the LCM of the given numbers is 3 x 169 x 253 = 128271
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128271
Therefore, the GCF of Fractions 9312/507,1001/759 is 1/128271
Least Common Multiple of 507,759 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 507,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,759) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,759) x common factors =3 x 1 = 3
LCM(507,759) = ( 507 × 759 ) / 3
LCM(507,759) = 384813 / 3
LCM(507,759) = 128271
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FAQs on GCF of Fractions of 9312/507, 1001/759
1. What is the HCF of 9312,1001?
The HCF of 9312,1001 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 9312/507, 1001/759?
Answer: GCF of Numerators as per given numbers 9312/507, 1001/759 is
GCF of Numerators i.e. for 9312,1001 is 1
LCM of denominators i.e. for 507,759 is 128271.
Thus, GCF of Fractions is 1/128271.Finally, GCF of Fractions for 9312/507, 1001/759 is 1/128271.