GCF of 94/189, 108/643, 437/418
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/189, 108/643, 437/418 i.e 1/50798286 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/189, 108/643, 437/418.
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 94/189,108/643,437/418?
Given fractions are 94/189,108/643,437/418
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 94/189,108/643,437/418, numerators are 94,108,437
Denominators are 189,643,418
The GCF of 94,108,437 is 1 .
LCM of 189,643,418 is 50798286.
The greatest common factor of 94/189,108/643,437/418 = [GCF of 94,108,437]/[LCM of 189,643,418]= 1/50798286
Therefore, the GCF of 94/189,108/643,437/418 is 1/50798286.
To find the highest common factor of 94,108,437, we have to find the factors of both numbers and list the highest common factor.
The factors of 94 are 1, 2, 47, 94
The factors of 108 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
The factors of 437 are 1, 19, 23, 437
The HCF of 94,108,437 is 1.
Lets's calculate GCF of 94,108,437
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,108,437 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 108
:1,2,3,4,6,9,12,18,27,36,54,108
Now, list down the factors of 437
:1,19,23,437
Greatest Common Factor
We found the factors 94,108,437 . The biggest common factor number is the GCF number.
So the greatest common factor 94,108,437 is 1.
Lets's calculate LCM of 189,643,418
Given numbers has no common factors except 1. So, there LCM is their product i.e 50798286
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50798286
Therefore, the GCF of Fractions 94/189,108/643,437/418 is 1/50798286
Least Common Multiple of 189,643,418 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 189,643,418 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,643,418) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,643,418) x common factors =1 x 1 = 1
LCM(189,643,418) = ( 189 × 643 × 418 ) / 1
LCM(189,643,418) = 50798286 / 1
LCM(189,643,418) = 50798286
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FAQs on GCF of Fractions of 94/189, 108/643, 437/418
1. What is the HCF of 94,108,437?
The HCF of 94,108,437 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 94/189, 108/643, 437/418?
Answer: GCF of Numerators as per given numbers 94/189, 108/643, 437/418 is
GCF of Numerators i.e. for 94,108,437 is 1
LCM of denominators i.e. for 189,643,418 is 50798286.
Thus, GCF of Fractions is 1/50798286.Finally, GCF of Fractions for 94/189, 108/643, 437/418 is 1/50798286.