GCF of 7079/515, 5914/7615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7079/515, 5914/7615 i.e 1/784345 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7079/515, 5914/7615.
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 7079/515,5914/7615?
Given fractions are 7079/515,5914/7615
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 7079/515,5914/7615, numerators are 7079,5914
Denominators are 515,7615
The GCF of 7079,5914 is 1 .
LCM of 515,7615 is 784345.
The greatest common factor of 7079/515,5914/7615 = [GCF of 7079,5914]/[LCM of 515,7615]= 1/784345
Therefore, the GCF of 7079/515,5914/7615 is 1/784345.
To find the highest common factor of 7079,5914, we have to find the factors of both numbers and list the highest common factor.
The factors of 7079 are 1, 7079
The factors of 5914 are 1, 2, 2957, 5914
The HCF of 7079,5914 is 1.
Lets's calculate GCF of 7079,5914
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7079,5914 By Matching Biggest Common Factor Method
Now, list down the factors of 7079
:1,7079
Now, list down the factors of 5914
:1,2,2957,5914
Greatest Common Factor
We found the factors 7079,5914 . The biggest common factor number is the GCF number.
So the greatest common factor 7079,5914 is 1.
Lets's calculate LCM of 515,7615
| 5 | 515, 7615 |
| 103, 1523 |
∴ So the LCM of the given numbers is 5 x 103 x 1523 = 784345
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/784345
Therefore, the GCF of Fractions 7079/515,5914/7615 is 1/784345
Least Common Multiple of 515,7615 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 515,7615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(515,7615) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(515,7615) x common factors =5 x 1 = 5
LCM(515,7615) = ( 515 × 7615 ) / 5
LCM(515,7615) = 3921725 / 5
LCM(515,7615) = 784345
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FAQs on GCF of Fractions of 7079/515, 5914/7615
1. What is the HCF of 7079,5914?
The HCF of 7079,5914 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 7079/515, 5914/7615?
Answer: GCF of Numerators as per given numbers 7079/515, 5914/7615 is
GCF of Numerators i.e. for 7079,5914 is 1
LCM of denominators i.e. for 515,7615 is 784345.
Thus, GCF of Fractions is 1/784345.Finally, GCF of Fractions for 7079/515, 5914/7615 is 1/784345.