GCF of 7454/507, 9726/5843
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7454/507, 9726/5843 i.e 2/2962401 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7454/507, 9726/5843.
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 7454/507,9726/5843?
Given fractions are 7454/507,9726/5843
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 7454/507,9726/5843, numerators are 7454,9726
Denominators are 507,5843
The GCF of 7454,9726 is 2 .
LCM of 507,5843 is 2962401.
The greatest common factor of 7454/507,9726/5843 = [GCF of 7454,9726]/[LCM of 507,5843]= 2/2962401
Therefore, the GCF of 7454/507,9726/5843 is 2/2962401.
To find the highest common factor of 7454,9726, we have to find the factors of both numbers and list the highest common factor.
The factors of 7454 are 1, 2, 3727, 7454
The factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726
The HCF of 7454,9726 is 2.
Lets's calculate GCF of 7454,9726
| 2 | 7454, 9726 |
| 3727, 4863 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7454,9726 By Matching Biggest Common Factor Method
Now, list down the factors of 7454
:1,2,3727,7454
Now, list down the factors of 9726
:1,2,3,6,1621,3242,4863,9726
Greatest Common Factor
We found the factors 7454,9726 . The biggest common factor number is the GCF number.
So the greatest common factor 7454,9726 is 2.
Lets's calculate LCM of 507,5843
Given numbers has no common factors except 1. So, there LCM is their product i.e 2962401
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2962401
Therefore, the GCF of Fractions 7454/507,9726/5843 is 2/2962401
Least Common Multiple of 507,5843 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 507,5843 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,5843) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(507,5843) x common factors =1 x 1 = 1
LCM(507,5843) = ( 507 × 5843 ) / 1
LCM(507,5843) = 2962401 / 1
LCM(507,5843) = 2962401
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FAQs on GCF of Fractions of 7454/507, 9726/5843
1. What is the HCF of 7454,9726?
The HCF of 7454,9726 is 2
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 7454/507, 9726/5843?
Answer: GCF of Numerators as per given numbers 7454/507, 9726/5843 is
GCF of Numerators i.e. for 7454,9726 is 2
LCM of denominators i.e. for 507,5843 is 2962401.
Thus, GCF of Fractions is 2/2962401.Finally, GCF of Fractions for 7454/507, 9726/5843 is 2/2962401.