GCF of 416/321, 540/822, 851/124
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 416/321, 540/822, 851/124 i.e 1/5453148 easily. The following is the detailed procedure to determine the greatest common factor of fractions 416/321, 540/822, 851/124.
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 416/321,540/822,851/124?
Given fractions are 416/321,540/822,851/124
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 416/321,540/822,851/124, numerators are 416,540,851
Denominators are 321,822,124
The GCF of 416,540,851 is 1 .
LCM of 321,822,124 is 5453148.
The greatest common factor of 416/321,540/822,851/124 = [GCF of 416,540,851]/[LCM of 321,822,124]= 1/5453148
Therefore, the GCF of 416/321,540/822,851/124 is 1/5453148.
To find the highest common factor of 416,540,851, we have to find the factors of both numbers and list the highest common factor.
The factors of 416 are 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
The factors of 851 are 1, 23, 37, 851
The HCF of 416,540,851 is 1.
Lets's calculate GCF of 416,540,851
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 416,540,851 By Matching Biggest Common Factor Method
Now, list down the factors of 416
:1,2,4,8,13,16,26,32,52,104,208,416
Now, list down the factors of 540
:1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Now, list down the factors of 851
:1,23,37,851
Greatest Common Factor
We found the factors 416,540,851 . The biggest common factor number is the GCF number.
So the greatest common factor 416,540,851 is 1.
Lets's calculate LCM of 321,822,124
| 2 | 321, 822, 124 |
| 3 | 321, 411, 62 |
| 107, 137, 62 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 137 x 62 = 5453148
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5453148
Therefore, the GCF of Fractions 416/321,540/822,851/124 is 1/5453148
Least Common Multiple of 321,822,124 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 321,822,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(321,822,124) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(321,822,124) x common factors =1 x 6 = 6
LCM(321,822,124) = ( 321 × 822 × 124 ) / 6
LCM(321,822,124) = 32718888 / 6
LCM(321,822,124) = 5453148
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 416/321, 540/822, 851/124
1. What is the HCF of 416,540,851?
The HCF of 416,540,851 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 416/321, 540/822, 851/124?
Answer: GCF of Numerators as per given numbers 416/321, 540/822, 851/124 is
GCF of Numerators i.e. for 416,540,851 is 1
LCM of denominators i.e. for 321,822,124 is 5453148.
Thus, GCF of Fractions is 1/5453148.Finally, GCF of Fractions for 416/321, 540/822, 851/124 is 1/5453148.