GCF of 35/764, 14/642, 204/362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 35/764, 14/642, 204/362 i.e 1/44389164 easily. The following is the detailed procedure to determine the greatest common factor of fractions 35/764, 14/642, 204/362.
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 35/764,14/642,204/362?
Given fractions are 35/764,14/642,204/362
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 35/764,14/642,204/362, numerators are 35,14,204
Denominators are 764,642,362
The GCF of 35,14,204 is 1 .
LCM of 764,642,362 is 44389164.
The greatest common factor of 35/764,14/642,204/362 = [GCF of 35,14,204]/[LCM of 764,642,362]= 1/44389164
Therefore, the GCF of 35/764,14/642,204/362 is 1/44389164.
To find the highest common factor of 35,14,204, we have to find the factors of both numbers and list the highest common factor.
The factors of 35 are 1, 5, 7, 35
The factors of 14 are 1, 2, 7, 14
The factors of 204 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
The HCF of 35,14,204 is 1.
Lets's calculate GCF of 35,14,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 35,14,204 By Matching Biggest Common Factor Method
Now, list down the factors of 35
:1,5,7,35
Now, list down the factors of 14
:1,2,7,14
Now, list down the factors of 204
:1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 35,14,204 . The biggest common factor number is the GCF number.
So the greatest common factor 35,14,204 is 1.
Lets's calculate LCM of 764,642,362
| 2 | 764, 642, 362 |
| 382, 321, 181 |
∴ So the LCM of the given numbers is 2 x 382 x 321 x 181 = 44389164
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44389164
Therefore, the GCF of Fractions 35/764,14/642,204/362 is 1/44389164
Least Common Multiple of 764,642,362 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 764,642,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,642,362) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(764,642,362) x common factors =2 x 2 = 4
LCM(764,642,362) = ( 764 × 642 × 362 ) / 4
LCM(764,642,362) = 177556656 / 4
LCM(764,642,362) = 44389164
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 35/764, 14/642, 204/362
1. What is the HCF of 35,14,204?
The HCF of 35,14,204 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 35/764, 14/642, 204/362?
Answer: GCF of Numerators as per given numbers 35/764, 14/642, 204/362 is
GCF of Numerators i.e. for 35,14,204 is 1
LCM of denominators i.e. for 764,642,362 is 44389164.
Thus, GCF of Fractions is 1/44389164.Finally, GCF of Fractions for 35/764, 14/642, 204/362 is 1/44389164.