GCF of 5199/768, 5978/7511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5199/768, 5978/7511 i.e 1/5768448 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5199/768, 5978/7511.
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 5199/768,5978/7511?
Given fractions are 5199/768,5978/7511
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 5199/768,5978/7511, numerators are 5199,5978
Denominators are 768,7511
The GCF of 5199,5978 is 1 .
LCM of 768,7511 is 5768448.
The greatest common factor of 5199/768,5978/7511 = [GCF of 5199,5978]/[LCM of 768,7511]= 1/5768448
Therefore, the GCF of 5199/768,5978/7511 is 1/5768448.
To find the highest common factor of 5199,5978, we have to find the factors of both numbers and list the highest common factor.
The factors of 5199 are 1, 3, 1733, 5199
The factors of 5978 are 1, 2, 7, 14, 49, 61, 98, 122, 427, 854, 2989, 5978
The HCF of 5199,5978 is 1.
Lets's calculate GCF of 5199,5978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5199,5978 By Matching Biggest Common Factor Method
Now, list down the factors of 5199
:1,3,1733,5199
Now, list down the factors of 5978
:1,2,7,14,49,61,98,122,427,854,2989,5978
Greatest Common Factor
We found the factors 5199,5978 . The biggest common factor number is the GCF number.
So the greatest common factor 5199,5978 is 1.
Lets's calculate LCM of 768,7511
Given numbers has no common factors except 1. So, there LCM is their product i.e 5768448
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5768448
Therefore, the GCF of Fractions 5199/768,5978/7511 is 1/5768448
Least Common Multiple of 768,7511 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 768,7511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,7511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(768,7511) x common factors =1 x 1 = 1
LCM(768,7511) = ( 768 × 7511 ) / 1
LCM(768,7511) = 5768448 / 1
LCM(768,7511) = 5768448
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FAQs on GCF of Fractions of 5199/768, 5978/7511
1. What is the HCF of 5199,5978?
The HCF of 5199,5978 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 5199/768, 5978/7511?
Answer: GCF of Numerators as per given numbers 5199/768, 5978/7511 is
GCF of Numerators i.e. for 5199,5978 is 1
LCM of denominators i.e. for 768,7511 is 5768448.
Thus, GCF of Fractions is 1/5768448.Finally, GCF of Fractions for 5199/768, 5978/7511 is 1/5768448.