GCF of 8378/521, 3539/787
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8378/521, 3539/787 i.e 1/410027 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8378/521, 3539/787.
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 8378/521,3539/787?
Given fractions are 8378/521,3539/787
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 8378/521,3539/787, numerators are 8378,3539
Denominators are 521,787
The GCF of 8378,3539 is 1 .
LCM of 521,787 is 410027.
The greatest common factor of 8378/521,3539/787 = [GCF of 8378,3539]/[LCM of 521,787]= 1/410027
Therefore, the GCF of 8378/521,3539/787 is 1/410027.
To find the highest common factor of 8378,3539, we have to find the factors of both numbers and list the highest common factor.
The factors of 8378 are 1, 2, 59, 71, 118, 142, 4189, 8378
The factors of 3539 are 1, 3539
The HCF of 8378,3539 is 1.
Lets's calculate GCF of 8378,3539
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8378,3539 By Matching Biggest Common Factor Method
Now, list down the factors of 8378
:1,2,59,71,118,142,4189,8378
Now, list down the factors of 3539
:1,3539
Greatest Common Factor
We found the factors 8378,3539 . The biggest common factor number is the GCF number.
So the greatest common factor 8378,3539 is 1.
Lets's calculate LCM of 521,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 410027
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/410027
Therefore, the GCF of Fractions 8378/521,3539/787 is 1/410027
Least Common Multiple of 521,787 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 521,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,787) x common factors =1 x 1 = 1
LCM(521,787) = ( 521 × 787 ) / 1
LCM(521,787) = 410027 / 1
LCM(521,787) = 410027
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FAQs on GCF of Fractions of 8378/521, 3539/787
1. What is the HCF of 8378,3539?
The HCF of 8378,3539 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 8378/521, 3539/787?
Answer: GCF of Numerators as per given numbers 8378/521, 3539/787 is
GCF of Numerators i.e. for 8378,3539 is 1
LCM of denominators i.e. for 521,787 is 410027.
Thus, GCF of Fractions is 1/410027.Finally, GCF of Fractions for 8378/521, 3539/787 is 1/410027.