GCF of 942/228, 559/405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 942/228, 559/405 i.e 1/30780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 942/228, 559/405.
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 942/228,559/405?
Given fractions are 942/228,559/405
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 942/228,559/405, numerators are 942,559
Denominators are 228,405
The GCF of 942,559 is 1 .
LCM of 228,405 is 30780.
The greatest common factor of 942/228,559/405 = [GCF of 942,559]/[LCM of 228,405]= 1/30780
Therefore, the GCF of 942/228,559/405 is 1/30780.
To find the highest common factor of 942,559, we have to find the factors of both numbers and list the highest common factor.
The factors of 942 are 1, 2, 3, 6, 157, 314, 471, 942
The factors of 559 are 1, 13, 43, 559
The HCF of 942,559 is 1.
Lets's calculate GCF of 942,559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 942,559 By Matching Biggest Common Factor Method
Now, list down the factors of 942
:1,2,3,6,157,314,471,942
Now, list down the factors of 559
:1,13,43,559
Greatest Common Factor
We found the factors 942,559 . The biggest common factor number is the GCF number.
So the greatest common factor 942,559 is 1.
Lets's calculate LCM of 228,405
| 3 | 228, 405 |
| 76, 135 |
∴ So the LCM of the given numbers is 3 x 76 x 135 = 30780
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30780
Therefore, the GCF of Fractions 942/228,559/405 is 1/30780
Least Common Multiple of 228,405 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 228,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,405) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(228,405) x common factors =3 x 1 = 3
LCM(228,405) = ( 228 × 405 ) / 3
LCM(228,405) = 92340 / 3
LCM(228,405) = 30780
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FAQs on GCF of Fractions of 942/228, 559/405
1. What is the HCF of 942,559?
The HCF of 942,559 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 942/228, 559/405?
Answer: GCF of Numerators as per given numbers 942/228, 559/405 is
GCF of Numerators i.e. for 942,559 is 1
LCM of denominators i.e. for 228,405 is 30780.
Thus, GCF of Fractions is 1/30780.Finally, GCF of Fractions for 942/228, 559/405 is 1/30780.