GCF of 134/416, 186/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 134/416, 186/686 i.e 2/142688 easily. The following is the detailed procedure to determine the greatest common factor of fractions 134/416, 186/686.
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 134/416,186/686?
Given fractions are 134/416,186/686
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 134/416,186/686, numerators are 134,186
Denominators are 416,686
The GCF of 134,186 is 2 .
LCM of 416,686 is 142688.
The greatest common factor of 134/416,186/686 = [GCF of 134,186]/[LCM of 416,686]= 2/142688
Therefore, the GCF of 134/416,186/686 is 2/142688.
To find the highest common factor of 134,186, we have to find the factors of both numbers and list the highest common factor.
The factors of 134 are 1, 2, 67, 134
The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186
The HCF of 134,186 is 2.
Lets's calculate GCF of 134,186
| 2 | 134, 186 |
| 67, 93 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 134,186 By Matching Biggest Common Factor Method
Now, list down the factors of 134
:1,2,67,134
Now, list down the factors of 186
:1,2,3,6,31,62,93,186
Greatest Common Factor
We found the factors 134,186 . The biggest common factor number is the GCF number.
So the greatest common factor 134,186 is 2.
Lets's calculate LCM of 416,686
| 2 | 416, 686 |
| 208, 343 |
∴ So the LCM of the given numbers is 2 x 208 x 343 = 142688
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/142688
Therefore, the GCF of Fractions 134/416,186/686 is 2/142688
Least Common Multiple of 416,686 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 416,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,686) x common factors =2 x 1 = 2
LCM(416,686) = ( 416 × 686 ) / 2
LCM(416,686) = 285376 / 2
LCM(416,686) = 142688
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FAQs on GCF of Fractions of 134/416, 186/686
1. What is the HCF of 134,186?
The HCF of 134,186 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 134/416, 186/686?
Answer: GCF of Numerators as per given numbers 134/416, 186/686 is
GCF of Numerators i.e. for 134,186 is 2
LCM of denominators i.e. for 416,686 is 142688.
Thus, GCF of Fractions is 2/142688.Finally, GCF of Fractions for 134/416, 186/686 is 2/142688.