GCF of 236/78, 170/286
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 236/78, 170/286 i.e 2/858 easily. The following is the detailed procedure to determine the greatest common factor of fractions 236/78, 170/286.
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 236/78,170/286?
Given fractions are 236/78,170/286
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 236/78,170/286, numerators are 236,170
Denominators are 78,286
The GCF of 236,170 is 2 .
LCM of 78,286 is 858.
The greatest common factor of 236/78,170/286 = [GCF of 236,170]/[LCM of 78,286]= 2/858
Therefore, the GCF of 236/78,170/286 is 2/858.
To find the highest common factor of 236,170, we have to find the factors of both numbers and list the highest common factor.
The factors of 236 are 1, 2, 4, 59, 118, 236
The factors of 170 are 1, 2, 5, 10, 17, 34, 85, 170
The HCF of 236,170 is 2.
Lets's calculate GCF of 236,170
| 2 | 236, 170 |
| 118, 85 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 236,170 By Matching Biggest Common Factor Method
Now, list down the factors of 236
:1,2,4,59,118,236
Now, list down the factors of 170
:1,2,5,10,17,34,85,170
Greatest Common Factor
We found the factors 236,170 . The biggest common factor number is the GCF number.
So the greatest common factor 236,170 is 2.
Lets's calculate LCM of 78,286
| 2 | 78, 286 |
| 13 | 39, 143 |
| 3, 11 |
∴ So the LCM of the given numbers is 2 x 13 x 3 x 11 = 858
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/858
Therefore, the GCF of Fractions 236/78,170/286 is 2/858
Least Common Multiple of 78,286 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 78,286 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,286) = 26
common factors(in case of two or more numbers have common factors) = 1
GCF(78,286) x common factors =26 x 1 = 26
LCM(78,286) = ( 78 × 286 ) / 26
LCM(78,286) = 22308 / 26
LCM(78,286) = 858
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FAQs on GCF of Fractions of 236/78, 170/286
1. What is the HCF of 236,170?
The HCF of 236,170 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 236/78, 170/286?
Answer: GCF of Numerators as per given numbers 236/78, 170/286 is
GCF of Numerators i.e. for 236,170 is 2
LCM of denominators i.e. for 78,286 is 858.
Thus, GCF of Fractions is 2/858.Finally, GCF of Fractions for 236/78, 170/286 is 2/858.