GCF of 295/170, 546/189
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 295/170, 546/189 i.e 1/32130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 295/170, 546/189.
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 295/170,546/189?
Given fractions are 295/170,546/189
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 295/170,546/189, numerators are 295,546
Denominators are 170,189
The GCF of 295,546 is 1 .
LCM of 170,189 is 32130.
The greatest common factor of 295/170,546/189 = [GCF of 295,546]/[LCM of 170,189]= 1/32130
Therefore, the GCF of 295/170,546/189 is 1/32130.
To find the highest common factor of 295,546, we have to find the factors of both numbers and list the highest common factor.
The factors of 295 are 1, 5, 59, 295
The factors of 546 are 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
The HCF of 295,546 is 1.
Lets's calculate GCF of 295,546
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 295,546 By Matching Biggest Common Factor Method
Now, list down the factors of 295
:1,5,59,295
Now, list down the factors of 546
:1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546
Greatest Common Factor
We found the factors 295,546 . The biggest common factor number is the GCF number.
So the greatest common factor 295,546 is 1.
Lets's calculate LCM of 170,189
Given numbers has no common factors except 1. So, there LCM is their product i.e 32130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32130
Therefore, the GCF of Fractions 295/170,546/189 is 1/32130
Least Common Multiple of 170,189 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 170,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,189) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(170,189) x common factors =1 x 1 = 1
LCM(170,189) = ( 170 × 189 ) / 1
LCM(170,189) = 32130 / 1
LCM(170,189) = 32130
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FAQs on GCF of Fractions of 295/170, 546/189
1. What is the HCF of 295,546?
The HCF of 295,546 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 295/170, 546/189?
Answer: GCF of Numerators as per given numbers 295/170, 546/189 is
GCF of Numerators i.e. for 295,546 is 1
LCM of denominators i.e. for 170,189 is 32130.
Thus, GCF of Fractions is 1/32130.Finally, GCF of Fractions for 295/170, 546/189 is 1/32130.