GCF of 6926/542, 7455/9129
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6926/542, 7455/9129 i.e 1/4947918 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6926/542, 7455/9129.
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 6926/542,7455/9129?
Given fractions are 6926/542,7455/9129
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 6926/542,7455/9129, numerators are 6926,7455
Denominators are 542,9129
The GCF of 6926,7455 is 1 .
LCM of 542,9129 is 4947918.
The greatest common factor of 6926/542,7455/9129 = [GCF of 6926,7455]/[LCM of 542,9129]= 1/4947918
Therefore, the GCF of 6926/542,7455/9129 is 1/4947918.
To find the highest common factor of 6926,7455, we have to find the factors of both numbers and list the highest common factor.
The factors of 6926 are 1, 2, 3463, 6926
The factors of 7455 are 1, 3, 5, 7, 15, 21, 35, 71, 105, 213, 355, 497, 1065, 1491, 2485, 7455
The HCF of 6926,7455 is 1.
Lets's calculate GCF of 6926,7455
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6926,7455 By Matching Biggest Common Factor Method
Now, list down the factors of 6926
:1,2,3463,6926
Now, list down the factors of 7455
:1,3,5,7,15,21,35,71,105,213,355,497,1065,1491,2485,7455
Greatest Common Factor
We found the factors 6926,7455 . The biggest common factor number is the GCF number.
So the greatest common factor 6926,7455 is 1.
Lets's calculate LCM of 542,9129
Given numbers has no common factors except 1. So, there LCM is their product i.e 4947918
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4947918
Therefore, the GCF of Fractions 6926/542,7455/9129 is 1/4947918
Least Common Multiple of 542,9129 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 542,9129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,9129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,9129) x common factors =1 x 1 = 1
LCM(542,9129) = ( 542 × 9129 ) / 1
LCM(542,9129) = 4947918 / 1
LCM(542,9129) = 4947918
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FAQs on GCF of Fractions of 6926/542, 7455/9129
1. What is the HCF of 6926,7455?
The HCF of 6926,7455 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 6926/542, 7455/9129?
Answer: GCF of Numerators as per given numbers 6926/542, 7455/9129 is
GCF of Numerators i.e. for 6926,7455 is 1
LCM of denominators i.e. for 542,9129 is 4947918.
Thus, GCF of Fractions is 1/4947918.Finally, GCF of Fractions for 6926/542, 7455/9129 is 1/4947918.