GCF of 94/19, 345/81, 152/511
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/19, 345/81, 152/511 i.e 1/786429 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/19, 345/81, 152/511.
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 94/19,345/81,152/511?
Given fractions are 94/19,345/81,152/511
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 94/19,345/81,152/511, numerators are 94,345,152
Denominators are 19,81,511
The GCF of 94,345,152 is 1 .
LCM of 19,81,511 is 786429.
The greatest common factor of 94/19,345/81,152/511 = [GCF of 94,345,152]/[LCM of 19,81,511]= 1/786429
Therefore, the GCF of 94/19,345/81,152/511 is 1/786429.
To find the highest common factor of 94,345,152, 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 345 are 1, 3, 5, 15, 23, 69, 115, 345
The factors of 152 are 1, 2, 4, 8, 19, 38, 76, 152
The HCF of 94,345,152 is 1.
Lets's calculate GCF of 94,345,152
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,345,152 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 345
:1,3,5,15,23,69,115,345
Now, list down the factors of 152
:1,2,4,8,19,38,76,152
Greatest Common Factor
We found the factors 94,345,152 . The biggest common factor number is the GCF number.
So the greatest common factor 94,345,152 is 1.
Lets's calculate LCM of 19,81,511
Given numbers has no common factors except 1. So, there LCM is their product i.e 786429
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/786429
Therefore, the GCF of Fractions 94/19,345/81,152/511 is 1/786429
Least Common Multiple of 19,81,511 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 19,81,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(19,81,511) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(19,81,511) x common factors =1 x 1 = 1
LCM(19,81,511) = ( 19 × 81 × 511 ) / 1
LCM(19,81,511) = 786429 / 1
LCM(19,81,511) = 786429
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FAQs on GCF of Fractions of 94/19, 345/81, 152/511
1. What is the HCF of 94,345,152?
The HCF of 94,345,152 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 94/19, 345/81, 152/511?
Answer: GCF of Numerators as per given numbers 94/19, 345/81, 152/511 is
GCF of Numerators i.e. for 94,345,152 is 1
LCM of denominators i.e. for 19,81,511 is 786429.
Thus, GCF of Fractions is 1/786429.Finally, GCF of Fractions for 94/19, 345/81, 152/511 is 1/786429.