GCF of 759/404, 7198/863
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 759/404, 7198/863 i.e 1/348652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 759/404, 7198/863.
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 759/404,7198/863?
Given fractions are 759/404,7198/863
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 759/404,7198/863, numerators are 759,7198
Denominators are 404,863
The GCF of 759,7198 is 1 .
LCM of 404,863 is 348652.
The greatest common factor of 759/404,7198/863 = [GCF of 759,7198]/[LCM of 404,863]= 1/348652
Therefore, the GCF of 759/404,7198/863 is 1/348652.
To find the highest common factor of 759,7198, we have to find the factors of both numbers and list the highest common factor.
The factors of 759 are 1, 3, 11, 23, 33, 69, 253, 759
The factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198
The HCF of 759,7198 is 1.
Lets's calculate GCF of 759,7198
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 759,7198 By Matching Biggest Common Factor Method
Now, list down the factors of 759
:1,3,11,23,33,69,253,759
Now, list down the factors of 7198
:1,2,59,61,118,122,3599,7198
Greatest Common Factor
We found the factors 759,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 759,7198 is 1.
Lets's calculate LCM of 404,863
Given numbers has no common factors except 1. So, there LCM is their product i.e 348652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/348652
Therefore, the GCF of Fractions 759/404,7198/863 is 1/348652
Least Common Multiple of 404,863 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 404,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(404,863) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(404,863) x common factors =1 x 1 = 1
LCM(404,863) = ( 404 × 863 ) / 1
LCM(404,863) = 348652 / 1
LCM(404,863) = 348652
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FAQs on GCF of Fractions of 759/404, 7198/863
1. What is the HCF of 759,7198?
The HCF of 759,7198 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 759/404, 7198/863?
Answer: GCF of Numerators as per given numbers 759/404, 7198/863 is
GCF of Numerators i.e. for 759,7198 is 1
LCM of denominators i.e. for 404,863 is 348652.
Thus, GCF of Fractions is 1/348652.Finally, GCF of Fractions for 759/404, 7198/863 is 1/348652.