GCF of 94/171, 162/775, 795/675
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 94/171, 162/775, 795/675 i.e 1/397575 easily. The following is the detailed procedure to determine the greatest common factor of fractions 94/171, 162/775, 795/675.
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 94/171,162/775,795/675?
Given fractions are 94/171,162/775,795/675
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 94/171,162/775,795/675, numerators are 94,162,795
Denominators are 171,775,675
The GCF of 94,162,795 is 1 .
LCM of 171,775,675 is 397575.
The greatest common factor of 94/171,162/775,795/675 = [GCF of 94,162,795]/[LCM of 171,775,675]= 1/397575
Therefore, the GCF of 94/171,162/775,795/675 is 1/397575.
To find the highest common factor of 94,162,795, 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 162 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
The factors of 795 are 1, 3, 5, 15, 53, 159, 265, 795
The HCF of 94,162,795 is 1.
Lets's calculate GCF of 94,162,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 94,162,795 By Matching Biggest Common Factor Method
Now, list down the factors of 94
:1,2,47,94
Now, list down the factors of 162
:1,2,3,6,9,18,27,54,81,162
Now, list down the factors of 795
:1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 94,162,795 . The biggest common factor number is the GCF number.
So the greatest common factor 94,162,795 is 1.
Lets's calculate LCM of 171,775,675
| 3 | 171, 775, 675 |
| 3 | 57, 775, 225 |
| 5 | 19, 775, 75 |
| 5 | 19, 155, 15 |
| 19, 31, 3 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 5 x 19 x 31 x 3 = 397575
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397575
Therefore, the GCF of Fractions 94/171,162/775,795/675 is 1/397575
Least Common Multiple of 171,775,675 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 171,775,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,775,675) = 1
common factors(in case of two or more numbers have common factors) = 225
GCF(171,775,675) x common factors =1 x 225 = 225
LCM(171,775,675) = ( 171 × 775 × 675 ) / 225
LCM(171,775,675) = 89454375 / 225
LCM(171,775,675) = 397575
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FAQs on GCF of Fractions of 94/171, 162/775, 795/675
1. What is the HCF of 94,162,795?
The HCF of 94,162,795 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 94/171, 162/775, 795/675?
Answer: GCF of Numerators as per given numbers 94/171, 162/775, 795/675 is
GCF of Numerators i.e. for 94,162,795 is 1
LCM of denominators i.e. for 171,775,675 is 397575.
Thus, GCF of Fractions is 1/397575.Finally, GCF of Fractions for 94/171, 162/775, 795/675 is 1/397575.