GCF of 42/569, 472/801, 257/998
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 42/569, 472/801, 257/998 i.e 1/454857462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/569, 472/801, 257/998.
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 42/569,472/801,257/998?
Given fractions are 42/569,472/801,257/998
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 42/569,472/801,257/998, numerators are 42,472,257
Denominators are 569,801,998
The GCF of 42,472,257 is 1 .
LCM of 569,801,998 is 454857462.
The greatest common factor of 42/569,472/801,257/998 = [GCF of 42,472,257]/[LCM of 569,801,998]= 1/454857462
Therefore, the GCF of 42/569,472/801,257/998 is 1/454857462.
To find the highest common factor of 42,472,257, 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 472 are 1, 2, 4, 8, 59, 118, 236, 472
The factors of 257 are 1, 257
The HCF of 42,472,257 is 1.
Lets's calculate GCF of 42,472,257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 42,472,257 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 472
:1,2,4,8,59,118,236,472
Now, list down the factors of 257
:1,257
Greatest Common Factor
We found the factors 42,472,257 . The biggest common factor number is the GCF number.
So the greatest common factor 42,472,257 is 1.
Lets's calculate LCM of 569,801,998
Given numbers has no common factors except 1. So, there LCM is their product i.e 454857462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/454857462
Therefore, the GCF of Fractions 42/569,472/801,257/998 is 1/454857462
Least Common Multiple of 569,801,998 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 569,801,998 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,801,998) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,801,998) x common factors =1 x 1 = 1
LCM(569,801,998) = ( 569 × 801 × 998 ) / 1
LCM(569,801,998) = 454857462 / 1
LCM(569,801,998) = 454857462
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FAQs on GCF of Fractions of 42/569, 472/801, 257/998
1. What is the HCF of 42,472,257?
The HCF of 42,472,257 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 42/569, 472/801, 257/998?
Answer: GCF of Numerators as per given numbers 42/569, 472/801, 257/998 is
GCF of Numerators i.e. for 42,472,257 is 1
LCM of denominators i.e. for 569,801,998 is 454857462.
Thus, GCF of Fractions is 1/454857462.Finally, GCF of Fractions for 42/569, 472/801, 257/998 is 1/454857462.