GCF of 541/599, 648/262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 541/599, 648/262 i.e 1/156938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/599, 648/262.
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 541/599,648/262?
Given fractions are 541/599,648/262
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 541/599,648/262, numerators are 541,648
Denominators are 599,262
The GCF of 541,648 is 1 .
LCM of 599,262 is 156938.
The greatest common factor of 541/599,648/262 = [GCF of 541,648]/[LCM of 599,262]= 1/156938
Therefore, the GCF of 541/599,648/262 is 1/156938.
To find the highest common factor of 541,648, we have to find the factors of both numbers and list the highest common factor.
The factors of 541 are 1, 541
The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
The HCF of 541,648 is 1.
Lets's calculate GCF of 541,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 541,648 By Matching Biggest Common Factor Method
Now, list down the factors of 541
:1,541
Now, list down the factors of 648
:1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 541,648 . The biggest common factor number is the GCF number.
So the greatest common factor 541,648 is 1.
Lets's calculate LCM of 599,262
Given numbers has no common factors except 1. So, there LCM is their product i.e 156938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156938
Therefore, the GCF of Fractions 541/599,648/262 is 1/156938
Least Common Multiple of 599,262 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 599,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,262) x common factors =1 x 1 = 1
LCM(599,262) = ( 599 × 262 ) / 1
LCM(599,262) = 156938 / 1
LCM(599,262) = 156938
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FAQs on GCF of Fractions of 541/599, 648/262
1. What is the HCF of 541,648?
The HCF of 541,648 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 541/599, 648/262?
Answer: GCF of Numerators as per given numbers 541/599, 648/262 is
GCF of Numerators i.e. for 541,648 is 1
LCM of denominators i.e. for 599,262 is 156938.
Thus, GCF of Fractions is 1/156938.Finally, GCF of Fractions for 541/599, 648/262 is 1/156938.