GCF of 577/619, 7227/603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 577/619, 7227/603 i.e 1/373257 easily. The following is the detailed procedure to determine the greatest common factor of fractions 577/619, 7227/603.
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 577/619,7227/603?
Given fractions are 577/619,7227/603
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 577/619,7227/603, numerators are 577,7227
Denominators are 619,603
The GCF of 577,7227 is 1 .
LCM of 619,603 is 373257.
The greatest common factor of 577/619,7227/603 = [GCF of 577,7227]/[LCM of 619,603]= 1/373257
Therefore, the GCF of 577/619,7227/603 is 1/373257.
To find the highest common factor of 577,7227, we have to find the factors of both numbers and list the highest common factor.
The factors of 577 are 1, 577
The factors of 7227 are 1, 3, 9, 11, 33, 73, 99, 219, 657, 803, 2409, 7227
The HCF of 577,7227 is 1.
Lets's calculate GCF of 577,7227
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 577,7227 By Matching Biggest Common Factor Method
Now, list down the factors of 577
:1,577
Now, list down the factors of 7227
:1,3,9,11,33,73,99,219,657,803,2409,7227
Greatest Common Factor
We found the factors 577,7227 . The biggest common factor number is the GCF number.
So the greatest common factor 577,7227 is 1.
Lets's calculate LCM of 619,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 373257
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/373257
Therefore, the GCF of Fractions 577/619,7227/603 is 1/373257
Least Common Multiple of 619,603 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 619,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,603) x common factors =1 x 1 = 1
LCM(619,603) = ( 619 × 603 ) / 1
LCM(619,603) = 373257 / 1
LCM(619,603) = 373257
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FAQs on GCF of Fractions of 577/619, 7227/603
1. What is the HCF of 577,7227?
The HCF of 577,7227 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 577/619, 7227/603?
Answer: GCF of Numerators as per given numbers 577/619, 7227/603 is
GCF of Numerators i.e. for 577,7227 is 1
LCM of denominators i.e. for 619,603 is 373257.
Thus, GCF of Fractions is 1/373257.Finally, GCF of Fractions for 577/619, 7227/603 is 1/373257.