GCF of 1342/603, 5319/2615
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1342/603, 5319/2615 i.e 1/1576845 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1342/603, 5319/2615.
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 1342/603,5319/2615?
Given fractions are 1342/603,5319/2615
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 1342/603,5319/2615, numerators are 1342,5319
Denominators are 603,2615
The GCF of 1342,5319 is 1 .
LCM of 603,2615 is 1576845.
The greatest common factor of 1342/603,5319/2615 = [GCF of 1342,5319]/[LCM of 603,2615]= 1/1576845
Therefore, the GCF of 1342/603,5319/2615 is 1/1576845.
To find the highest common factor of 1342,5319, we have to find the factors of both numbers and list the highest common factor.
The factors of 1342 are 1, 2, 11, 22, 61, 122, 671, 1342
The factors of 5319 are 1, 3, 9, 27, 197, 591, 1773, 5319
The HCF of 1342,5319 is 1.
Lets's calculate GCF of 1342,5319
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1342,5319 By Matching Biggest Common Factor Method
Now, list down the factors of 1342
:1,2,11,22,61,122,671,1342
Now, list down the factors of 5319
:1,3,9,27,197,591,1773,5319
Greatest Common Factor
We found the factors 1342,5319 . The biggest common factor number is the GCF number.
So the greatest common factor 1342,5319 is 1.
Lets's calculate LCM of 603,2615
Given numbers has no common factors except 1. So, there LCM is their product i.e 1576845
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1576845
Therefore, the GCF of Fractions 1342/603,5319/2615 is 1/1576845
Least Common Multiple of 603,2615 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 603,2615 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(603,2615) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(603,2615) x common factors =1 x 1 = 1
LCM(603,2615) = ( 603 × 2615 ) / 1
LCM(603,2615) = 1576845 / 1
LCM(603,2615) = 1576845
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FAQs on GCF of Fractions of 1342/603, 5319/2615
1. What is the HCF of 1342,5319?
The HCF of 1342,5319 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 1342/603, 5319/2615?
Answer: GCF of Numerators as per given numbers 1342/603, 5319/2615 is
GCF of Numerators i.e. for 1342,5319 is 1
LCM of denominators i.e. for 603,2615 is 1576845.
Thus, GCF of Fractions is 1/1576845.Finally, GCF of Fractions for 1342/603, 5319/2615 is 1/1576845.