GCF of 5777/941, 7985/2639
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5777/941, 7985/2639 i.e 1/2483299 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5777/941, 7985/2639.
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 5777/941,7985/2639?
Given fractions are 5777/941,7985/2639
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 5777/941,7985/2639, numerators are 5777,7985
Denominators are 941,2639
The GCF of 5777,7985 is 1 .
LCM of 941,2639 is 2483299.
The greatest common factor of 5777/941,7985/2639 = [GCF of 5777,7985]/[LCM of 941,2639]= 1/2483299
Therefore, the GCF of 5777/941,7985/2639 is 1/2483299.
To find the highest common factor of 5777,7985, we have to find the factors of both numbers and list the highest common factor.
The factors of 5777 are 1, 53, 109, 5777
The factors of 7985 are 1, 5, 1597, 7985
The HCF of 5777,7985 is 1.
Lets's calculate GCF of 5777,7985
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5777,7985 By Matching Biggest Common Factor Method
Now, list down the factors of 5777
:1,53,109,5777
Now, list down the factors of 7985
:1,5,1597,7985
Greatest Common Factor
We found the factors 5777,7985 . The biggest common factor number is the GCF number.
So the greatest common factor 5777,7985 is 1.
Lets's calculate LCM of 941,2639
Given numbers has no common factors except 1. So, there LCM is their product i.e 2483299
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2483299
Therefore, the GCF of Fractions 5777/941,7985/2639 is 1/2483299
Least Common Multiple of 941,2639 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 941,2639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(941,2639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(941,2639) x common factors =1 x 1 = 1
LCM(941,2639) = ( 941 × 2639 ) / 1
LCM(941,2639) = 2483299 / 1
LCM(941,2639) = 2483299
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FAQs on GCF of Fractions of 5777/941, 7985/2639
1. What is the HCF of 5777,7985?
The HCF of 5777,7985 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 5777/941, 7985/2639?
Answer: GCF of Numerators as per given numbers 5777/941, 7985/2639 is
GCF of Numerators i.e. for 5777,7985 is 1
LCM of denominators i.e. for 941,2639 is 2483299.
Thus, GCF of Fractions is 1/2483299.Finally, GCF of Fractions for 5777/941, 7985/2639 is 1/2483299.