GCF of 7827/272, 7499/1529
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7827/272, 7499/1529 i.e 1/415888 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7827/272, 7499/1529.
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 7827/272,7499/1529?
Given fractions are 7827/272,7499/1529
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 7827/272,7499/1529, numerators are 7827,7499
Denominators are 272,1529
The GCF of 7827,7499 is 1 .
LCM of 272,1529 is 415888.
The greatest common factor of 7827/272,7499/1529 = [GCF of 7827,7499]/[LCM of 272,1529]= 1/415888
Therefore, the GCF of 7827/272,7499/1529 is 1/415888.
To find the highest common factor of 7827,7499, we have to find the factors of both numbers and list the highest common factor.
The factors of 7827 are 1, 3, 2609, 7827
The factors of 7499 are 1, 7499
The HCF of 7827,7499 is 1.
Lets's calculate GCF of 7827,7499
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7827,7499 By Matching Biggest Common Factor Method
Now, list down the factors of 7827
:1,3,2609,7827
Now, list down the factors of 7499
:1,7499
Greatest Common Factor
We found the factors 7827,7499 . The biggest common factor number is the GCF number.
So the greatest common factor 7827,7499 is 1.
Lets's calculate LCM of 272,1529
Given numbers has no common factors except 1. So, there LCM is their product i.e 415888
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/415888
Therefore, the GCF of Fractions 7827/272,7499/1529 is 1/415888
Least Common Multiple of 272,1529 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 272,1529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,1529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(272,1529) x common factors =1 x 1 = 1
LCM(272,1529) = ( 272 × 1529 ) / 1
LCM(272,1529) = 415888 / 1
LCM(272,1529) = 415888
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FAQs on GCF of Fractions of 7827/272, 7499/1529
1. What is the HCF of 7827,7499?
The HCF of 7827,7499 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 7827/272, 7499/1529?
Answer: GCF of Numerators as per given numbers 7827/272, 7499/1529 is
GCF of Numerators i.e. for 7827,7499 is 1
LCM of denominators i.e. for 272,1529 is 415888.
Thus, GCF of Fractions is 1/415888.Finally, GCF of Fractions for 7827/272, 7499/1529 is 1/415888.