GCF of 145/854, 986/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 145/854, 986/162 i.e 29/69174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 145/854, 986/162.
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 145/854,986/162?
Given fractions are 145/854,986/162
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 145/854,986/162, numerators are 145,986
Denominators are 854,162
The GCF of 145,986 is 29 .
LCM of 854,162 is 69174.
The greatest common factor of 145/854,986/162 = [GCF of 145,986]/[LCM of 854,162]= 29/69174
Therefore, the GCF of 145/854,986/162 is 29/69174.
To find the highest common factor of 145,986, we have to find the factors of both numbers and list the highest common factor.
The factors of 145 are 1, 5, 29, 145
The factors of 986 are 1, 2, 17, 29, 34, 58, 493, 986
The HCF of 145,986 is 29.
Lets's calculate GCF of 145,986
| 29 | 145, 986 |
| 5, 34 |
∴ So the GCF of the given numbers is 29 = 29
Greatest Common Factor of 145,986 By Matching Biggest Common Factor Method
Now, list down the factors of 145
:1,5,29,145
Now, list down the factors of 986
:1,2,17,29,34,58,493,986
Greatest Common Factor
We found the factors 145,986 . The biggest common factor number is the GCF number.
So the greatest common factor 145,986 is 29.
Lets's calculate LCM of 854,162
| 2 | 854, 162 |
| 427, 81 |
∴ So the LCM of the given numbers is 2 x 427 x 81 = 69174
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/69174
Therefore, the GCF of Fractions 145/854,986/162 is 29/69174
Least Common Multiple of 854,162 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 854,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(854,162) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(854,162) x common factors =2 x 1 = 2
LCM(854,162) = ( 854 × 162 ) / 2
LCM(854,162) = 138348 / 2
LCM(854,162) = 69174
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 145/854, 986/162
1. What is the HCF of 145,986?
The HCF of 145,986 is 29
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 145/854, 986/162?
Answer: GCF of Numerators as per given numbers 145/854, 986/162 is
GCF of Numerators i.e. for 145,986 is 29
LCM of denominators i.e. for 854,162 is 69174.
Thus, GCF of Fractions is 29/69174.Finally, GCF of Fractions for 145/854, 986/162 is 29/69174.