GCF of 118/295, 170/396
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 118/295, 170/396 i.e 2/116820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 118/295, 170/396.
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 118/295,170/396?
Given fractions are 118/295,170/396
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 118/295,170/396, numerators are 118,170
Denominators are 295,396
The GCF of 118,170 is 2 .
LCM of 295,396 is 116820.
The greatest common factor of 118/295,170/396 = [GCF of 118,170]/[LCM of 295,396]= 2/116820
Therefore, the GCF of 118/295,170/396 is 2/116820.
To find the highest common factor of 118,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 118 are 1, 2, 59, 118
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 118,170 is 2.
Lets's calculate GCF of 118,170
| 2 | 118, 170 |
| 59, 85 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 118,170 By Matching Biggest Common Factor Method
Now, list down the factors of 118
:1,2,59,118
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 118,170 . The biggest common factor number is the GCF number.
So the greatest common factor 118,170 is 2.
Lets's calculate LCM of 295,396
Given numbers has no common factors except 1. So, there LCM is their product i.e 116820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116820
Therefore, the GCF of Fractions 118/295,170/396 is 2/116820
Least Common Multiple of 295,396 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 295,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,396) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(295,396) x common factors =1 x 1 = 1
LCM(295,396) = ( 295 × 396 ) / 1
LCM(295,396) = 116820 / 1
LCM(295,396) = 116820
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FAQs on GCF of Fractions of 118/295, 170/396
1. What is the HCF of 118,170?
The HCF of 118,170 is 2
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 118/295, 170/396?
Answer: GCF of Numerators as per given numbers 118/295, 170/396 is
GCF of Numerators i.e. for 118,170 is 2
LCM of denominators i.e. for 295,396 is 116820.
Thus, GCF of Fractions is 2/116820.Finally, GCF of Fractions for 118/295, 170/396 is 2/116820.