GCF of 7935/971, 5803/2468
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7935/971, 5803/2468 i.e 1/2396428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7935/971, 5803/2468.
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 7935/971,5803/2468?
Given fractions are 7935/971,5803/2468
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 7935/971,5803/2468, numerators are 7935,5803
Denominators are 971,2468
The GCF of 7935,5803 is 1 .
LCM of 971,2468 is 2396428.
The greatest common factor of 7935/971,5803/2468 = [GCF of 7935,5803]/[LCM of 971,2468]= 1/2396428
Therefore, the GCF of 7935/971,5803/2468 is 1/2396428.
To find the highest common factor of 7935,5803, we have to find the factors of both numbers and list the highest common factor.
The factors of 7935 are 1, 3, 5, 15, 23, 69, 115, 345, 529, 1587, 2645, 7935
The factors of 5803 are 1, 7, 829, 5803
The HCF of 7935,5803 is 1.
Lets's calculate GCF of 7935,5803
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7935,5803 By Matching Biggest Common Factor Method
Now, list down the factors of 7935
:1,3,5,15,23,69,115,345,529,1587,2645,7935
Now, list down the factors of 5803
:1,7,829,5803
Greatest Common Factor
We found the factors 7935,5803 . The biggest common factor number is the GCF number.
So the greatest common factor 7935,5803 is 1.
Lets's calculate LCM of 971,2468
Given numbers has no common factors except 1. So, there LCM is their product i.e 2396428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2396428
Therefore, the GCF of Fractions 7935/971,5803/2468 is 1/2396428
Least Common Multiple of 971,2468 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 971,2468 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(971,2468) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(971,2468) x common factors =1 x 1 = 1
LCM(971,2468) = ( 971 × 2468 ) / 1
LCM(971,2468) = 2396428 / 1
LCM(971,2468) = 2396428
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FAQs on GCF of Fractions of 7935/971, 5803/2468
1. What is the HCF of 7935,5803?
The HCF of 7935,5803 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 7935/971, 5803/2468?
Answer: GCF of Numerators as per given numbers 7935/971, 5803/2468 is
GCF of Numerators i.e. for 7935,5803 is 1
LCM of denominators i.e. for 971,2468 is 2396428.
Thus, GCF of Fractions is 1/2396428.Finally, GCF of Fractions for 7935/971, 5803/2468 is 1/2396428.