GCF of 557/254, 257/223
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 557/254, 257/223 i.e 1/56642 easily. The following is the detailed procedure to determine the greatest common factor of fractions 557/254, 257/223.
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 557/254,257/223?
Given fractions are 557/254,257/223
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 557/254,257/223, numerators are 557,257
Denominators are 254,223
The GCF of 557,257 is 1 .
LCM of 254,223 is 56642.
The greatest common factor of 557/254,257/223 = [GCF of 557,257]/[LCM of 254,223]= 1/56642
Therefore, the GCF of 557/254,257/223 is 1/56642.
To find the highest common factor of 557,257, we have to find the factors of both numbers and list the highest common factor.
The factors of 557 are 1, 557
The factors of 257 are 1, 257
The HCF of 557,257 is 1.
Lets's calculate GCF of 557,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 557,257 By Matching Biggest Common Factor Method
Now, list down the factors of 557
:1,557
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 557,257 . The biggest common factor number is the GCF number.
So the greatest common factor 557,257 is 1.
Lets's calculate LCM of 254,223
Given numbers has no common factors except 1. So, there LCM is their product i.e 56642
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56642
Therefore, the GCF of Fractions 557/254,257/223 is 1/56642
Least Common Multiple of 254,223 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 254,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(254,223) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(254,223) x common factors =1 x 1 = 1
LCM(254,223) = ( 254 × 223 ) / 1
LCM(254,223) = 56642 / 1
LCM(254,223) = 56642
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 557/254, 257/223
1. What is the HCF of 557,257?
The HCF of 557,257 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 557/254, 257/223?
Answer: GCF of Numerators as per given numbers 557/254, 257/223 is
GCF of Numerators i.e. for 557,257 is 1
LCM of denominators i.e. for 254,223 is 56642.
Thus, GCF of Fractions is 1/56642.Finally, GCF of Fractions for 557/254, 257/223 is 1/56642.