GCF of 555/51, 414/47, 639/40
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 555/51, 414/47, 639/40 i.e 3/95880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 555/51, 414/47, 639/40.
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 555/51,414/47,639/40?
Given fractions are 555/51,414/47,639/40
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 555/51,414/47,639/40, numerators are 555,414,639
Denominators are 51,47,40
The GCF of 555,414,639 is 3 .
LCM of 51,47,40 is 95880.
The greatest common factor of 555/51,414/47,639/40 = [GCF of 555,414,639]/[LCM of 51,47,40]= 3/95880
Therefore, the GCF of 555/51,414/47,639/40 is 3/95880.
To find the highest common factor of 555,414,639, we have to find the factors of both numbers and list the highest common factor.
The factors of 555 are 1, 3, 5, 15, 37, 111, 185, 555
The factors of 414 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
The factors of 639 are 1, 3, 9, 71, 213, 639
The HCF of 555,414,639 is 3.
Lets's calculate GCF of 555,414,639
| 3 | 555, 414, 639 |
| 185, 138, 213 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 555,414,639 By Matching Biggest Common Factor Method
Now, list down the factors of 555
:1,3,5,15,37,111,185,555
Now, list down the factors of 414
:1,2,3,6,9,18,23,46,69,138,207,414
Now, list down the factors of 639
:1,3,9,71,213,639
Greatest Common Factor
We found the factors 555,414,639 . The biggest common factor number is the GCF number.
So the greatest common factor 555,414,639 is 3.
Lets's calculate LCM of 51,47,40
Given numbers has no common factors except 1. So, there LCM is their product i.e 95880
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/95880
Therefore, the GCF of Fractions 555/51,414/47,639/40 is 3/95880
Least Common Multiple of 51,47,40 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 51,47,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,47,40) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(51,47,40) x common factors =1 x 1 = 1
LCM(51,47,40) = ( 51 × 47 × 40 ) / 1
LCM(51,47,40) = 95880 / 1
LCM(51,47,40) = 95880
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 555/51, 414/47, 639/40
1. What is the HCF of 555,414,639?
The HCF of 555,414,639 is 3
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 555/51, 414/47, 639/40?
Answer: GCF of Numerators as per given numbers 555/51, 414/47, 639/40 is
GCF of Numerators i.e. for 555,414,639 is 3
LCM of denominators i.e. for 51,47,40 is 95880.
Thus, GCF of Fractions is 3/95880.Finally, GCF of Fractions for 555/51, 414/47, 639/40 is 3/95880.