GCF of 7089/427, 6877/9772
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7089/427, 6877/9772 i.e 1/596092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7089/427, 6877/9772.
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 7089/427,6877/9772?
Given fractions are 7089/427,6877/9772
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 7089/427,6877/9772, numerators are 7089,6877
Denominators are 427,9772
The GCF of 7089,6877 is 1 .
LCM of 427,9772 is 596092.
The greatest common factor of 7089/427,6877/9772 = [GCF of 7089,6877]/[LCM of 427,9772]= 1/596092
Therefore, the GCF of 7089/427,6877/9772 is 1/596092.
To find the highest common factor of 7089,6877, we have to find the factors of both numbers and list the highest common factor.
The factors of 7089 are 1, 3, 17, 51, 139, 417, 2363, 7089
The factors of 6877 are 1, 13, 23, 299, 529, 6877
The HCF of 7089,6877 is 1.
Lets's calculate GCF of 7089,6877
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7089,6877 By Matching Biggest Common Factor Method
Now, list down the factors of 7089
:1,3,17,51,139,417,2363,7089
Now, list down the factors of 6877
:1,13,23,299,529,6877
Greatest Common Factor
We found the factors 7089,6877 . The biggest common factor number is the GCF number.
So the greatest common factor 7089,6877 is 1.
Lets's calculate LCM of 427,9772
| 7 | 427, 9772 |
| 61, 1396 |
∴ So the LCM of the given numbers is 7 x 61 x 1396 = 596092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/596092
Therefore, the GCF of Fractions 7089/427,6877/9772 is 1/596092
Least Common Multiple of 427,9772 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 427,9772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(427,9772) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(427,9772) x common factors =7 x 1 = 7
LCM(427,9772) = ( 427 × 9772 ) / 7
LCM(427,9772) = 4172644 / 7
LCM(427,9772) = 596092
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FAQs on GCF of Fractions of 7089/427, 6877/9772
1. What is the HCF of 7089,6877?
The HCF of 7089,6877 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 7089/427, 6877/9772?
Answer: GCF of Numerators as per given numbers 7089/427, 6877/9772 is
GCF of Numerators i.e. for 7089,6877 is 1
LCM of denominators i.e. for 427,9772 is 596092.
Thus, GCF of Fractions is 1/596092.Finally, GCF of Fractions for 7089/427, 6877/9772 is 1/596092.