GCF of 257/97, 821/2132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 257/97, 821/2132 i.e 1/206804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/97, 821/2132.
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 257/97,821/2132?
Given fractions are 257/97,821/2132
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 257/97,821/2132, numerators are 257,821
Denominators are 97,2132
The GCF of 257,821 is 1 .
LCM of 97,2132 is 206804.
The greatest common factor of 257/97,821/2132 = [GCF of 257,821]/[LCM of 97,2132]= 1/206804
Therefore, the GCF of 257/97,821/2132 is 1/206804.
To find the highest common factor of 257,821, 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 821 are 1, 821
The HCF of 257,821 is 1.
Lets's calculate GCF of 257,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 257,821 By Matching Biggest Common Factor Method
Now, list down the factors of 257
:1,257
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 257,821 . The biggest common factor number is the GCF number.
So the greatest common factor 257,821 is 1.
Lets's calculate LCM of 97,2132
Given numbers has no common factors except 1. So, there LCM is their product i.e 206804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206804
Therefore, the GCF of Fractions 257/97,821/2132 is 1/206804
Least Common Multiple of 97,2132 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 97,2132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,2132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,2132) x common factors =1 x 1 = 1
LCM(97,2132) = ( 97 × 2132 ) / 1
LCM(97,2132) = 206804 / 1
LCM(97,2132) = 206804
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FAQs on GCF of Fractions of 257/97, 821/2132
1. What is the HCF of 257,821?
The HCF of 257,821 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 257/97, 821/2132?
Answer: GCF of Numerators as per given numbers 257/97, 821/2132 is
GCF of Numerators i.e. for 257,821 is 1
LCM of denominators i.e. for 97,2132 is 206804.
Thus, GCF of Fractions is 1/206804.Finally, GCF of Fractions for 257/97, 821/2132 is 1/206804.