GCF of 5559/611, 8626/7195
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5559/611, 8626/7195 i.e 1/4396145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5559/611, 8626/7195.
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 5559/611,8626/7195?
Given fractions are 5559/611,8626/7195
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 5559/611,8626/7195, numerators are 5559,8626
Denominators are 611,7195
The GCF of 5559,8626 is 1 .
LCM of 611,7195 is 4396145.
The greatest common factor of 5559/611,8626/7195 = [GCF of 5559,8626]/[LCM of 611,7195]= 1/4396145
Therefore, the GCF of 5559/611,8626/7195 is 1/4396145.
To find the highest common factor of 5559,8626, we have to find the factors of both numbers and list the highest common factor.
The factors of 5559 are 1, 3, 17, 51, 109, 327, 1853, 5559
The factors of 8626 are 1, 2, 19, 38, 227, 454, 4313, 8626
The HCF of 5559,8626 is 1.
Lets's calculate GCF of 5559,8626
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5559,8626 By Matching Biggest Common Factor Method
Now, list down the factors of 5559
:1,3,17,51,109,327,1853,5559
Now, list down the factors of 8626
:1,2,19,38,227,454,4313,8626
Greatest Common Factor
We found the factors 5559,8626 . The biggest common factor number is the GCF number.
So the greatest common factor 5559,8626 is 1.
Lets's calculate LCM of 611,7195
Given numbers has no common factors except 1. So, there LCM is their product i.e 4396145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4396145
Therefore, the GCF of Fractions 5559/611,8626/7195 is 1/4396145
Least Common Multiple of 611,7195 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 611,7195 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(611,7195) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(611,7195) x common factors =1 x 1 = 1
LCM(611,7195) = ( 611 × 7195 ) / 1
LCM(611,7195) = 4396145 / 1
LCM(611,7195) = 4396145
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FAQs on GCF of Fractions of 5559/611, 8626/7195
1. What is the HCF of 5559,8626?
The HCF of 5559,8626 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 5559/611, 8626/7195?
Answer: GCF of Numerators as per given numbers 5559/611, 8626/7195 is
GCF of Numerators i.e. for 5559,8626 is 1
LCM of denominators i.e. for 611,7195 is 4396145.
Thus, GCF of Fractions is 1/4396145.Finally, GCF of Fractions for 5559/611, 8626/7195 is 1/4396145.