GCF of 42/337, 30/363, 857/257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 42/337, 30/363, 857/257 i.e 1/31439067 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/337, 30/363, 857/257.
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 42/337,30/363,857/257?
Given fractions are 42/337,30/363,857/257
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 42/337,30/363,857/257, numerators are 42,30,857
Denominators are 337,363,257
The GCF of 42,30,857 is 1 .
LCM of 337,363,257 is 31439067.
The greatest common factor of 42/337,30/363,857/257 = [GCF of 42,30,857]/[LCM of 337,363,257]= 1/31439067
Therefore, the GCF of 42/337,30/363,857/257 is 1/31439067.
To find the highest common factor of 42,30,857, we have to find the factors of both numbers and list the highest common factor.
The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 857 are 1, 857
The HCF of 42,30,857 is 1.
Lets's calculate GCF of 42,30,857
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 42,30,857 By Matching Biggest Common Factor Method
Now, list down the factors of 42
:1,2,3,6,7,14,21,42
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 857
:1,857
Greatest Common Factor
We found the factors 42,30,857 . The biggest common factor number is the GCF number.
So the greatest common factor 42,30,857 is 1.
Lets's calculate LCM of 337,363,257
Given numbers has no common factors except 1. So, there LCM is their product i.e 31439067
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31439067
Therefore, the GCF of Fractions 42/337,30/363,857/257 is 1/31439067
Least Common Multiple of 337,363,257 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 337,363,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,363,257) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,363,257) x common factors =1 x 1 = 1
LCM(337,363,257) = ( 337 × 363 × 257 ) / 1
LCM(337,363,257) = 31439067 / 1
LCM(337,363,257) = 31439067
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FAQs on GCF of Fractions of 42/337, 30/363, 857/257
1. What is the HCF of 42,30,857?
The HCF of 42,30,857 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 42/337, 30/363, 857/257?
Answer: GCF of Numerators as per given numbers 42/337, 30/363, 857/257 is
GCF of Numerators i.e. for 42,30,857 is 1
LCM of denominators i.e. for 337,363,257 is 31439067.
Thus, GCF of Fractions is 1/31439067.Finally, GCF of Fractions for 42/337, 30/363, 857/257 is 1/31439067.