GCF of 94/62, 301/32, 159/734
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/62, 301/32, 159/734 i.e 1/364064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/62, 301/32, 159/734.
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 94/62,301/32,159/734?
Given fractions are 94/62,301/32,159/734
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 94/62,301/32,159/734, numerators are 94,301,159
Denominators are 62,32,734
The GCF of 94,301,159 is 1 .
LCM of 62,32,734 is 364064.
The greatest common factor of 94/62,301/32,159/734 = [GCF of 94,301,159]/[LCM of 62,32,734]= 1/364064
Therefore, the GCF of 94/62,301/32,159/734 is 1/364064.
To find the highest common factor of 94,301,159, 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 301 are 1, 7, 43, 301
The factors of 159 are 1, 3, 53, 159
The HCF of 94,301,159 is 1.
Lets's calculate GCF of 94,301,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,301,159 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 159
:1,3,53,159
Greatest Common Factor
We found the factors 94,301,159 . The biggest common factor number is the GCF number.
So the greatest common factor 94,301,159 is 1.
Lets's calculate LCM of 62,32,734
| 2 | 62, 32, 734 |
| 31, 16, 367 |
∴ So the LCM of the given numbers is 2 x 31 x 16 x 367 = 364064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/364064
Therefore, the GCF of Fractions 94/62,301/32,159/734 is 1/364064
Least Common Multiple of 62,32,734 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 62,32,734 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,32,734) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(62,32,734) x common factors =2 x 2 = 4
LCM(62,32,734) = ( 62 × 32 × 734 ) / 4
LCM(62,32,734) = 1456256 / 4
LCM(62,32,734) = 364064
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FAQs on GCF of Fractions of 94/62, 301/32, 159/734
1. What is the HCF of 94,301,159?
The HCF of 94,301,159 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 94/62, 301/32, 159/734?
Answer: GCF of Numerators as per given numbers 94/62, 301/32, 159/734 is
GCF of Numerators i.e. for 94,301,159 is 1
LCM of denominators i.e. for 62,32,734 is 364064.
Thus, GCF of Fractions is 1/364064.Finally, GCF of Fractions for 94/62, 301/32, 159/734 is 1/364064.