GCF of 5982/937, 3775/9727
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5982/937, 3775/9727 i.e 1/9114199 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5982/937, 3775/9727.
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 5982/937,3775/9727?
Given fractions are 5982/937,3775/9727
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 5982/937,3775/9727, numerators are 5982,3775
Denominators are 937,9727
The GCF of 5982,3775 is 1 .
LCM of 937,9727 is 9114199.
The greatest common factor of 5982/937,3775/9727 = [GCF of 5982,3775]/[LCM of 937,9727]= 1/9114199
Therefore, the GCF of 5982/937,3775/9727 is 1/9114199.
To find the highest common factor of 5982,3775, we have to find the factors of both numbers and list the highest common factor.
The factors of 5982 are 1, 2, 3, 6, 997, 1994, 2991, 5982
The factors of 3775 are 1, 5, 25, 151, 755, 3775
The HCF of 5982,3775 is 1.
Lets's calculate GCF of 5982,3775
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5982,3775 By Matching Biggest Common Factor Method
Now, list down the factors of 5982
:1,2,3,6,997,1994,2991,5982
Now, list down the factors of 3775
:1,5,25,151,755,3775
Greatest Common Factor
We found the factors 5982,3775 . The biggest common factor number is the GCF number.
So the greatest common factor 5982,3775 is 1.
Lets's calculate LCM of 937,9727
Given numbers has no common factors except 1. So, there LCM is their product i.e 9114199
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9114199
Therefore, the GCF of Fractions 5982/937,3775/9727 is 1/9114199
Least Common Multiple of 937,9727 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 937,9727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,9727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,9727) x common factors =1 x 1 = 1
LCM(937,9727) = ( 937 × 9727 ) / 1
LCM(937,9727) = 9114199 / 1
LCM(937,9727) = 9114199
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FAQs on GCF of Fractions of 5982/937, 3775/9727
1. What is the HCF of 5982,3775?
The HCF of 5982,3775 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 5982/937, 3775/9727?
Answer: GCF of Numerators as per given numbers 5982/937, 3775/9727 is
GCF of Numerators i.e. for 5982,3775 is 1
LCM of denominators i.e. for 937,9727 is 9114199.
Thus, GCF of Fractions is 1/9114199.Finally, GCF of Fractions for 5982/937, 3775/9727 is 1/9114199.