GCF of 541/68, 520/17, 135/14
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 541/68, 520/17, 135/14 i.e 1/476 easily. The following is the detailed procedure to determine the greatest common factor of fractions 541/68, 520/17, 135/14.
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 541/68,520/17,135/14?
Given fractions are 541/68,520/17,135/14
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 541/68,520/17,135/14, numerators are 541,520,135
Denominators are 68,17,14
The GCF of 541,520,135 is 1 .
LCM of 68,17,14 is 476.
The greatest common factor of 541/68,520/17,135/14 = [GCF of 541,520,135]/[LCM of 68,17,14]= 1/476
Therefore, the GCF of 541/68,520/17,135/14 is 1/476.
To find the highest common factor of 541,520,135, we have to find the factors of both numbers and list the highest common factor.
The factors of 541 are 1, 541
The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
The HCF of 541,520,135 is 1.
Lets's calculate GCF of 541,520,135
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 541,520,135 By Matching Biggest Common Factor Method
Now, list down the factors of 541
:1,541
Now, list down the factors of 520
:1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520
Now, list down the factors of 135
:1,3,5,9,15,27,45,135
Greatest Common Factor
We found the factors 541,520,135 . The biggest common factor number is the GCF number.
So the greatest common factor 541,520,135 is 1.
Lets's calculate LCM of 68,17,14
| 2 | 68, 17, 14 |
| 17 | 34, 17, 7 |
| 2, 1, 7 |
∴ So the LCM of the given numbers is 2 x 17 x 2 x 1 x 7 = 476
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476
Therefore, the GCF of Fractions 541/68,520/17,135/14 is 1/476
Least Common Multiple of 68,17,14 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 68,17,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,17,14) = 1
common factors(in case of two or more numbers have common factors) = 34
GCF(68,17,14) x common factors =1 x 34 = 34
LCM(68,17,14) = ( 68 × 17 × 14 ) / 34
LCM(68,17,14) = 16184 / 34
LCM(68,17,14) = 476
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 541/68, 520/17, 135/14
1. What is the HCF of 541,520,135?
The HCF of 541,520,135 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 541/68, 520/17, 135/14?
Answer: GCF of Numerators as per given numbers 541/68, 520/17, 135/14 is
GCF of Numerators i.e. for 541,520,135 is 1
LCM of denominators i.e. for 68,17,14 is 476.
Thus, GCF of Fractions is 1/476.Finally, GCF of Fractions for 541/68, 520/17, 135/14 is 1/476.