GCF of 1105/188, 7569/5319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1105/188, 7569/5319 i.e 1/999972 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1105/188, 7569/5319.
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 1105/188,7569/5319?
Given fractions are 1105/188,7569/5319
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 1105/188,7569/5319, numerators are 1105,7569
Denominators are 188,5319
The GCF of 1105,7569 is 1 .
LCM of 188,5319 is 999972.
The greatest common factor of 1105/188,7569/5319 = [GCF of 1105,7569]/[LCM of 188,5319]= 1/999972
Therefore, the GCF of 1105/188,7569/5319 is 1/999972.
To find the highest common factor of 1105,7569, we have to find the factors of both numbers and list the highest common factor.
The factors of 1105 are 1, 5, 13, 17, 65, 85, 221, 1105
The factors of 7569 are 1, 3, 9, 29, 87, 261, 841, 2523, 7569
The HCF of 1105,7569 is 1.
Lets's calculate GCF of 1105,7569
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1105,7569 By Matching Biggest Common Factor Method
Now, list down the factors of 1105
:1,5,13,17,65,85,221,1105
Now, list down the factors of 7569
:1,3,9,29,87,261,841,2523,7569
Greatest Common Factor
We found the factors 1105,7569 . The biggest common factor number is the GCF number.
So the greatest common factor 1105,7569 is 1.
Lets's calculate LCM of 188,5319
Given numbers has no common factors except 1. So, there LCM is their product i.e 999972
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/999972
Therefore, the GCF of Fractions 1105/188,7569/5319 is 1/999972
Least Common Multiple of 188,5319 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 188,5319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,5319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(188,5319) x common factors =1 x 1 = 1
LCM(188,5319) = ( 188 × 5319 ) / 1
LCM(188,5319) = 999972 / 1
LCM(188,5319) = 999972
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FAQs on GCF of Fractions of 1105/188, 7569/5319
1. What is the HCF of 1105,7569?
The HCF of 1105,7569 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 1105/188, 7569/5319?
Answer: GCF of Numerators as per given numbers 1105/188, 7569/5319 is
GCF of Numerators i.e. for 1105,7569 is 1
LCM of denominators i.e. for 188,5319 is 999972.
Thus, GCF of Fractions is 1/999972.Finally, GCF of Fractions for 1105/188, 7569/5319 is 1/999972.