GCF of 63/243, 85/415, 535/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 63/243, 85/415, 535/619 i.e 1/62423055 easily. The following is the detailed procedure to determine the greatest common factor of fractions 63/243, 85/415, 535/619.
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 63/243,85/415,535/619?
Given fractions are 63/243,85/415,535/619
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 63/243,85/415,535/619, numerators are 63,85,535
Denominators are 243,415,619
The GCF of 63,85,535 is 1 .
LCM of 243,415,619 is 62423055.
The greatest common factor of 63/243,85/415,535/619 = [GCF of 63,85,535]/[LCM of 243,415,619]= 1/62423055
Therefore, the GCF of 63/243,85/415,535/619 is 1/62423055.
To find the highest common factor of 63,85,535, we have to find the factors of both numbers and list the highest common factor.
The factors of 63 are 1, 3, 7, 9, 21, 63
The factors of 85 are 1, 5, 17, 85
The factors of 535 are 1, 5, 107, 535
The HCF of 63,85,535 is 1.
Lets's calculate GCF of 63,85,535
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 63,85,535 By Matching Biggest Common Factor Method
Now, list down the factors of 63
:1,3,7,9,21,63
Now, list down the factors of 85
:1,5,17,85
Now, list down the factors of 535
:1,5,107,535
Greatest Common Factor
We found the factors 63,85,535 . The biggest common factor number is the GCF number.
So the greatest common factor 63,85,535 is 1.
Lets's calculate LCM of 243,415,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 62423055
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62423055
Therefore, the GCF of Fractions 63/243,85/415,535/619 is 1/62423055
Least Common Multiple of 243,415,619 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 243,415,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(243,415,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(243,415,619) x common factors =1 x 1 = 1
LCM(243,415,619) = ( 243 × 415 × 619 ) / 1
LCM(243,415,619) = 62423055 / 1
LCM(243,415,619) = 62423055
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FAQs on GCF of Fractions of 63/243, 85/415, 535/619
1. What is the HCF of 63,85,535?
The HCF of 63,85,535 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 63/243, 85/415, 535/619?
Answer: GCF of Numerators as per given numbers 63/243, 85/415, 535/619 is
GCF of Numerators i.e. for 63,85,535 is 1
LCM of denominators i.e. for 243,415,619 is 62423055.
Thus, GCF of Fractions is 1/62423055.Finally, GCF of Fractions for 63/243, 85/415, 535/619 is 1/62423055.