GCF of 1018/476, 3995/166
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1018/476, 3995/166 i.e 1/39508 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1018/476, 3995/166.
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 1018/476,3995/166?
Given fractions are 1018/476,3995/166
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 1018/476,3995/166, numerators are 1018,3995
Denominators are 476,166
The GCF of 1018,3995 is 1 .
LCM of 476,166 is 39508.
The greatest common factor of 1018/476,3995/166 = [GCF of 1018,3995]/[LCM of 476,166]= 1/39508
Therefore, the GCF of 1018/476,3995/166 is 1/39508.
To find the highest common factor of 1018,3995, we have to find the factors of both numbers and list the highest common factor.
The factors of 1018 are 1, 2, 509, 1018
The factors of 3995 are 1, 5, 17, 47, 85, 235, 799, 3995
The HCF of 1018,3995 is 1.
Lets's calculate GCF of 1018,3995
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1018,3995 By Matching Biggest Common Factor Method
Now, list down the factors of 1018
:1,2,509,1018
Now, list down the factors of 3995
:1,5,17,47,85,235,799,3995
Greatest Common Factor
We found the factors 1018,3995 . The biggest common factor number is the GCF number.
So the greatest common factor 1018,3995 is 1.
Lets's calculate LCM of 476,166
| 2 | 476, 166 |
| 238, 83 |
∴ So the LCM of the given numbers is 2 x 238 x 83 = 39508
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39508
Therefore, the GCF of Fractions 1018/476,3995/166 is 1/39508
Least Common Multiple of 476,166 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 476,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(476,166) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(476,166) x common factors =2 x 1 = 2
LCM(476,166) = ( 476 × 166 ) / 2
LCM(476,166) = 79016 / 2
LCM(476,166) = 39508
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1018/476, 3995/166
1. What is the HCF of 1018,3995?
The HCF of 1018,3995 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 1018/476, 3995/166?
Answer: GCF of Numerators as per given numbers 1018/476, 3995/166 is
GCF of Numerators i.e. for 1018,3995 is 1
LCM of denominators i.e. for 476,166 is 39508.
Thus, GCF of Fractions is 1/39508.Finally, GCF of Fractions for 1018/476, 3995/166 is 1/39508.