GCF of 257/521, 506/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 257/521, 506/465 i.e 1/242265 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/521, 506/465.
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 257/521,506/465?
Given fractions are 257/521,506/465
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 257/521,506/465, numerators are 257,506
Denominators are 521,465
The GCF of 257,506 is 1 .
LCM of 521,465 is 242265.
The greatest common factor of 257/521,506/465 = [GCF of 257,506]/[LCM of 521,465]= 1/242265
Therefore, the GCF of 257/521,506/465 is 1/242265.
To find the highest common factor of 257,506, we have to find the factors of both numbers and list the highest common factor.
The factors of 257 are 1, 257
The factors of 506 are 1, 2, 11, 22, 23, 46, 253, 506
The HCF of 257,506 is 1.
Lets's calculate GCF of 257,506
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 257,506 By Matching Biggest Common Factor Method
Now, list down the factors of 257
:1,257
Now, list down the factors of 506
:1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 257,506 . The biggest common factor number is the GCF number.
So the greatest common factor 257,506 is 1.
Lets's calculate LCM of 521,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 242265
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/242265
Therefore, the GCF of Fractions 257/521,506/465 is 1/242265
Least Common Multiple of 521,465 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 521,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,465) x common factors =1 x 1 = 1
LCM(521,465) = ( 521 × 465 ) / 1
LCM(521,465) = 242265 / 1
LCM(521,465) = 242265
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FAQs on GCF of Fractions of 257/521, 506/465
1. What is the HCF of 257,506?
The HCF of 257,506 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 257/521, 506/465?
Answer: GCF of Numerators as per given numbers 257/521, 506/465 is
GCF of Numerators i.e. for 257,506 is 1
LCM of denominators i.e. for 521,465 is 242265.
Thus, GCF of Fractions is 1/242265.Finally, GCF of Fractions for 257/521, 506/465 is 1/242265.