GCF of 5307/335, 9940/6582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5307/335, 9940/6582 i.e 1/2204970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5307/335, 9940/6582.
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 5307/335,9940/6582?
Given fractions are 5307/335,9940/6582
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 5307/335,9940/6582, numerators are 5307,9940
Denominators are 335,6582
The GCF of 5307,9940 is 1 .
LCM of 335,6582 is 2204970.
The greatest common factor of 5307/335,9940/6582 = [GCF of 5307,9940]/[LCM of 335,6582]= 1/2204970
Therefore, the GCF of 5307/335,9940/6582 is 1/2204970.
To find the highest common factor of 5307,9940, we have to find the factors of both numbers and list the highest common factor.
The factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The HCF of 5307,9940 is 1.
Lets's calculate GCF of 5307,9940
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5307,9940 By Matching Biggest Common Factor Method
Now, list down the factors of 5307
:1,3,29,61,87,183,1769,5307
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Greatest Common Factor
We found the factors 5307,9940 . The biggest common factor number is the GCF number.
So the greatest common factor 5307,9940 is 1.
Lets's calculate LCM of 335,6582
Given numbers has no common factors except 1. So, there LCM is their product i.e 2204970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2204970
Therefore, the GCF of Fractions 5307/335,9940/6582 is 1/2204970
Least Common Multiple of 335,6582 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 335,6582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(335,6582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(335,6582) x common factors =1 x 1 = 1
LCM(335,6582) = ( 335 × 6582 ) / 1
LCM(335,6582) = 2204970 / 1
LCM(335,6582) = 2204970
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FAQs on GCF of Fractions of 5307/335, 9940/6582
1. What is the HCF of 5307,9940?
The HCF of 5307,9940 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 5307/335, 9940/6582?
Answer: GCF of Numerators as per given numbers 5307/335, 9940/6582 is
GCF of Numerators i.e. for 5307,9940 is 1
LCM of denominators i.e. for 335,6582 is 2204970.
Thus, GCF of Fractions is 1/2204970.Finally, GCF of Fractions for 5307/335, 9940/6582 is 1/2204970.