GCF of 9651/734, 6724/7012
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9651/734, 6724/7012 i.e 1/2573404 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9651/734, 6724/7012.
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 9651/734,6724/7012?
Given fractions are 9651/734,6724/7012
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 9651/734,6724/7012, numerators are 9651,6724
Denominators are 734,7012
The GCF of 9651,6724 is 1 .
LCM of 734,7012 is 2573404.
The greatest common factor of 9651/734,6724/7012 = [GCF of 9651,6724]/[LCM of 734,7012]= 1/2573404
Therefore, the GCF of 9651/734,6724/7012 is 1/2573404.
To find the highest common factor of 9651,6724, we have to find the factors of both numbers and list the highest common factor.
The factors of 9651 are 1, 3, 3217, 9651
The factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724
The HCF of 9651,6724 is 1.
Lets's calculate GCF of 9651,6724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9651,6724 By Matching Biggest Common Factor Method
Now, list down the factors of 9651
:1,3,3217,9651
Now, list down the factors of 6724
:1,2,4,41,82,164,1681,3362,6724
Greatest Common Factor
We found the factors 9651,6724 . The biggest common factor number is the GCF number.
So the greatest common factor 9651,6724 is 1.
Lets's calculate LCM of 734,7012
| 2 | 734, 7012 |
| 367, 3506 |
∴ So the LCM of the given numbers is 2 x 367 x 3506 = 2573404
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2573404
Therefore, the GCF of Fractions 9651/734,6724/7012 is 1/2573404
Least Common Multiple of 734,7012 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 734,7012 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,7012) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,7012) x common factors =2 x 1 = 2
LCM(734,7012) = ( 734 × 7012 ) / 2
LCM(734,7012) = 5146808 / 2
LCM(734,7012) = 2573404
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FAQs on GCF of Fractions of 9651/734, 6724/7012
1. What is the HCF of 9651,6724?
The HCF of 9651,6724 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 9651/734, 6724/7012?
Answer: GCF of Numerators as per given numbers 9651/734, 6724/7012 is
GCF of Numerators i.e. for 9651,6724 is 1
LCM of denominators i.e. for 734,7012 is 2573404.
Thus, GCF of Fractions is 1/2573404.Finally, GCF of Fractions for 9651/734, 6724/7012 is 1/2573404.