GCF of 42/18, 12/656, 873/191
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 42/18, 12/656, 873/191 i.e 3/1127664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 42/18, 12/656, 873/191.
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 42/18,12/656,873/191?
Given fractions are 42/18,12/656,873/191
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 42/18,12/656,873/191, numerators are 42,12,873
Denominators are 18,656,191
The GCF of 42,12,873 is 3 .
LCM of 18,656,191 is 1127664.
The greatest common factor of 42/18,12/656,873/191 = [GCF of 42,12,873]/[LCM of 18,656,191]= 3/1127664
Therefore, the GCF of 42/18,12/656,873/191 is 3/1127664.
To find the highest common factor of 42,12,873, 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 12 are 1, 2, 3, 4, 6, 12
The factors of 873 are 1, 3, 9, 97, 291, 873
The HCF of 42,12,873 is 3.
Lets's calculate GCF of 42,12,873
| 3 | 42, 12, 873 |
| 14, 4, 291 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 42,12,873 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 12
:1,2,3,4,6,12
Now, list down the factors of 873
:1,3,9,97,291,873
Greatest Common Factor
We found the factors 42,12,873 . The biggest common factor number is the GCF number.
So the greatest common factor 42,12,873 is 3.
Lets's calculate LCM of 18,656,191
| 2 | 18, 656, 191 |
| 9, 328, 191 |
∴ So the LCM of the given numbers is 2 x 9 x 328 x 191 = 1127664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1127664
Therefore, the GCF of Fractions 42/18,12/656,873/191 is 3/1127664
Least Common Multiple of 18,656,191 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 18,656,191 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,656,191) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(18,656,191) x common factors =1 x 2 = 2
LCM(18,656,191) = ( 18 × 656 × 191 ) / 2
LCM(18,656,191) = 2255328 / 2
LCM(18,656,191) = 1127664
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FAQs on GCF of Fractions of 42/18, 12/656, 873/191
1. What is the HCF of 42,12,873?
The HCF of 42,12,873 is 3
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 42/18, 12/656, 873/191?
Answer: GCF of Numerators as per given numbers 42/18, 12/656, 873/191 is
GCF of Numerators i.e. for 42,12,873 is 3
LCM of denominators i.e. for 18,656,191 is 1127664.
Thus, GCF of Fractions is 3/1127664.Finally, GCF of Fractions for 42/18, 12/656, 873/191 is 3/1127664.