GCF of 7997/944, 8017/3819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7997/944, 8017/3819 i.e 1/3605136 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7997/944, 8017/3819.
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 7997/944,8017/3819?
Given fractions are 7997/944,8017/3819
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 7997/944,8017/3819, numerators are 7997,8017
Denominators are 944,3819
The GCF of 7997,8017 is 1 .
LCM of 944,3819 is 3605136.
The greatest common factor of 7997/944,8017/3819 = [GCF of 7997,8017]/[LCM of 944,3819]= 1/3605136
Therefore, the GCF of 7997/944,8017/3819 is 1/3605136.
To find the highest common factor of 7997,8017, we have to find the factors of both numbers and list the highest common factor.
The factors of 7997 are 1, 11, 727, 7997
The factors of 8017 are 1, 8017
The HCF of 7997,8017 is 1.
Lets's calculate GCF of 7997,8017
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7997,8017 By Matching Biggest Common Factor Method
Now, list down the factors of 7997
:1,11,727,7997
Now, list down the factors of 8017
:1,8017
Greatest Common Factor
We found the factors 7997,8017 . The biggest common factor number is the GCF number.
So the greatest common factor 7997,8017 is 1.
Lets's calculate LCM of 944,3819
Given numbers has no common factors except 1. So, there LCM is their product i.e 3605136
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3605136
Therefore, the GCF of Fractions 7997/944,8017/3819 is 1/3605136
Least Common Multiple of 944,3819 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 944,3819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,3819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(944,3819) x common factors =1 x 1 = 1
LCM(944,3819) = ( 944 × 3819 ) / 1
LCM(944,3819) = 3605136 / 1
LCM(944,3819) = 3605136
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FAQs on GCF of Fractions of 7997/944, 8017/3819
1. What is the HCF of 7997,8017?
The HCF of 7997,8017 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 7997/944, 8017/3819?
Answer: GCF of Numerators as per given numbers 7997/944, 8017/3819 is
GCF of Numerators i.e. for 7997,8017 is 1
LCM of denominators i.e. for 944,3819 is 3605136.
Thus, GCF of Fractions is 1/3605136.Finally, GCF of Fractions for 7997/944, 8017/3819 is 1/3605136.