GCF of 34/23, 77/74, 285/819
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/23, 77/74, 285/819 i.e 1/1393938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/23, 77/74, 285/819.
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 34/23,77/74,285/819?
Given fractions are 34/23,77/74,285/819
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 34/23,77/74,285/819, numerators are 34,77,285
Denominators are 23,74,819
The GCF of 34,77,285 is 1 .
LCM of 23,74,819 is 1393938.
The greatest common factor of 34/23,77/74,285/819 = [GCF of 34,77,285]/[LCM of 23,74,819]= 1/1393938
Therefore, the GCF of 34/23,77/74,285/819 is 1/1393938.
To find the highest common factor of 34,77,285, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 77 are 1, 7, 11, 77
The factors of 285 are 1, 3, 5, 15, 19, 57, 95, 285
The HCF of 34,77,285 is 1.
Lets's calculate GCF of 34,77,285
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,77,285 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 77
:1,7,11,77
Now, list down the factors of 285
:1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 34,77,285 . The biggest common factor number is the GCF number.
So the greatest common factor 34,77,285 is 1.
Lets's calculate LCM of 23,74,819
Given numbers has no common factors except 1. So, there LCM is their product i.e 1393938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1393938
Therefore, the GCF of Fractions 34/23,77/74,285/819 is 1/1393938
Least Common Multiple of 23,74,819 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 23,74,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,74,819) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,74,819) x common factors =1 x 1 = 1
LCM(23,74,819) = ( 23 × 74 × 819 ) / 1
LCM(23,74,819) = 1393938 / 1
LCM(23,74,819) = 1393938
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FAQs on GCF of Fractions of 34/23, 77/74, 285/819
1. What is the HCF of 34,77,285?
The HCF of 34,77,285 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 34/23, 77/74, 285/819?
Answer: GCF of Numerators as per given numbers 34/23, 77/74, 285/819 is
GCF of Numerators i.e. for 34,77,285 is 1
LCM of denominators i.e. for 23,74,819 is 1393938.
Thus, GCF of Fractions is 1/1393938.Finally, GCF of Fractions for 34/23, 77/74, 285/819 is 1/1393938.