GCF of 7553/622, 5175/2929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7553/622, 5175/2929 i.e 1/1821838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7553/622, 5175/2929.
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 7553/622,5175/2929?
Given fractions are 7553/622,5175/2929
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 7553/622,5175/2929, numerators are 7553,5175
Denominators are 622,2929
The GCF of 7553,5175 is 1 .
LCM of 622,2929 is 1821838.
The greatest common factor of 7553/622,5175/2929 = [GCF of 7553,5175]/[LCM of 622,2929]= 1/1821838
Therefore, the GCF of 7553/622,5175/2929 is 1/1821838.
To find the highest common factor of 7553,5175, we have to find the factors of both numbers and list the highest common factor.
The factors of 7553 are 1, 7, 13, 83, 91, 581, 1079, 7553
The factors of 5175 are 1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 1035, 1725, 5175
The HCF of 7553,5175 is 1.
Lets's calculate GCF of 7553,5175
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7553,5175 By Matching Biggest Common Factor Method
Now, list down the factors of 7553
:1,7,13,83,91,581,1079,7553
Now, list down the factors of 5175
:1,3,5,9,15,23,25,45,69,75,115,207,225,345,575,1035,1725,5175
Greatest Common Factor
We found the factors 7553,5175 . The biggest common factor number is the GCF number.
So the greatest common factor 7553,5175 is 1.
Lets's calculate LCM of 622,2929
Given numbers has no common factors except 1. So, there LCM is their product i.e 1821838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1821838
Therefore, the GCF of Fractions 7553/622,5175/2929 is 1/1821838
Least Common Multiple of 622,2929 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 622,2929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,2929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,2929) x common factors =1 x 1 = 1
LCM(622,2929) = ( 622 × 2929 ) / 1
LCM(622,2929) = 1821838 / 1
LCM(622,2929) = 1821838
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FAQs on GCF of Fractions of 7553/622, 5175/2929
1. What is the HCF of 7553,5175?
The HCF of 7553,5175 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 7553/622, 5175/2929?
Answer: GCF of Numerators as per given numbers 7553/622, 5175/2929 is
GCF of Numerators i.e. for 7553,5175 is 1
LCM of denominators i.e. for 622,2929 is 1821838.
Thus, GCF of Fractions is 1/1821838.Finally, GCF of Fractions for 7553/622, 5175/2929 is 1/1821838.