GCF of 5978/803, 5757/2018
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5978/803, 5757/2018 i.e 1/1620454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5978/803, 5757/2018.
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 5978/803,5757/2018?
Given fractions are 5978/803,5757/2018
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 5978/803,5757/2018, numerators are 5978,5757
Denominators are 803,2018
The GCF of 5978,5757 is 1 .
LCM of 803,2018 is 1620454.
The greatest common factor of 5978/803,5757/2018 = [GCF of 5978,5757]/[LCM of 803,2018]= 1/1620454
Therefore, the GCF of 5978/803,5757/2018 is 1/1620454.
To find the highest common factor of 5978,5757, we have to find the factors of both numbers and list the highest common factor.
The factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978
The factors of 5757 are 1, 3, 19, 57, 101, 303, 1919, 5757
The HCF of 5978,5757 is 1.
Lets's calculate GCF of 5978,5757
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5978,5757 By Matching Biggest Common Factor Method
Now, list down the factors of 5978
:1,2,7,14,49,61,98,122,427,854,2989,5978
Now, list down the factors of 5757
:1,3,19,57,101,303,1919,5757
Greatest Common Factor
We found the factors 5978,5757 . The biggest common factor number is the GCF number.
So the greatest common factor 5978,5757 is 1.
Lets's calculate LCM of 803,2018
Given numbers has no common factors except 1. So, there LCM is their product i.e 1620454
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1620454
Therefore, the GCF of Fractions 5978/803,5757/2018 is 1/1620454
Least Common Multiple of 803,2018 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 803,2018 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,2018) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,2018) x common factors =1 x 1 = 1
LCM(803,2018) = ( 803 × 2018 ) / 1
LCM(803,2018) = 1620454 / 1
LCM(803,2018) = 1620454
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FAQs on GCF of Fractions of 5978/803, 5757/2018
1. What is the HCF of 5978,5757?
The HCF of 5978,5757 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 5978/803, 5757/2018?
Answer: GCF of Numerators as per given numbers 5978/803, 5757/2018 is
GCF of Numerators i.e. for 5978,5757 is 1
LCM of denominators i.e. for 803,2018 is 1620454.
Thus, GCF of Fractions is 1/1620454.Finally, GCF of Fractions for 5978/803, 5757/2018 is 1/1620454.