GCF of 5915/678, 9691/7906
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5915/678, 9691/7906 i.e 1/2680134 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5915/678, 9691/7906.
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 5915/678,9691/7906?
Given fractions are 5915/678,9691/7906
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 5915/678,9691/7906, numerators are 5915,9691
Denominators are 678,7906
The GCF of 5915,9691 is 1 .
LCM of 678,7906 is 2680134.
The greatest common factor of 5915/678,9691/7906 = [GCF of 5915,9691]/[LCM of 678,7906]= 1/2680134
Therefore, the GCF of 5915/678,9691/7906 is 1/2680134.
To find the highest common factor of 5915,9691, we have to find the factors of both numbers and list the highest common factor.
The factors of 5915 are 1, 5, 7, 13, 35, 65, 91, 169, 455, 845, 1183, 5915
The factors of 9691 are 1, 11, 881, 9691
The HCF of 5915,9691 is 1.
Lets's calculate GCF of 5915,9691
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5915,9691 By Matching Biggest Common Factor Method
Now, list down the factors of 5915
:1,5,7,13,35,65,91,169,455,845,1183,5915
Now, list down the factors of 9691
:1,11,881,9691
Greatest Common Factor
We found the factors 5915,9691 . The biggest common factor number is the GCF number.
So the greatest common factor 5915,9691 is 1.
Lets's calculate LCM of 678,7906
| 2 | 678, 7906 |
| 339, 3953 |
∴ So the LCM of the given numbers is 2 x 339 x 3953 = 2680134
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2680134
Therefore, the GCF of Fractions 5915/678,9691/7906 is 1/2680134
Least Common Multiple of 678,7906 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 678,7906 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(678,7906) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(678,7906) x common factors =2 x 1 = 2
LCM(678,7906) = ( 678 × 7906 ) / 2
LCM(678,7906) = 5360268 / 2
LCM(678,7906) = 2680134
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FAQs on GCF of Fractions of 5915/678, 9691/7906
1. What is the HCF of 5915,9691?
The HCF of 5915,9691 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 5915/678, 9691/7906?
Answer: GCF of Numerators as per given numbers 5915/678, 9691/7906 is
GCF of Numerators i.e. for 5915,9691 is 1
LCM of denominators i.e. for 678,7906 is 2680134.
Thus, GCF of Fractions is 1/2680134.Finally, GCF of Fractions for 5915/678, 9691/7906 is 1/2680134.