GCF of 8216/468, 4475/5212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8216/468, 4475/5212 i.e 1/609804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8216/468, 4475/5212.
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 8216/468,4475/5212?
Given fractions are 8216/468,4475/5212
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 8216/468,4475/5212, numerators are 8216,4475
Denominators are 468,5212
The GCF of 8216,4475 is 1 .
LCM of 468,5212 is 609804.
The greatest common factor of 8216/468,4475/5212 = [GCF of 8216,4475]/[LCM of 468,5212]= 1/609804
Therefore, the GCF of 8216/468,4475/5212 is 1/609804.
To find the highest common factor of 8216,4475, we have to find the factors of both numbers and list the highest common factor.
The factors of 8216 are 1, 2, 4, 8, 13, 26, 52, 79, 104, 158, 316, 632, 1027, 2054, 4108, 8216
The factors of 4475 are 1, 5, 25, 179, 895, 4475
The HCF of 8216,4475 is 1.
Lets's calculate GCF of 8216,4475
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8216,4475 By Matching Biggest Common Factor Method
Now, list down the factors of 8216
:1,2,4,8,13,26,52,79,104,158,316,632,1027,2054,4108,8216
Now, list down the factors of 4475
:1,5,25,179,895,4475
Greatest Common Factor
We found the factors 8216,4475 . The biggest common factor number is the GCF number.
So the greatest common factor 8216,4475 is 1.
Lets's calculate LCM of 468,5212
| 2 | 468, 5212 |
| 2 | 234, 2606 |
| 117, 1303 |
∴ So the LCM of the given numbers is 2 x 2 x 117 x 1303 = 609804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/609804
Therefore, the GCF of Fractions 8216/468,4475/5212 is 1/609804
Least Common Multiple of 468,5212 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 468,5212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(468,5212) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(468,5212) x common factors =4 x 1 = 4
LCM(468,5212) = ( 468 × 5212 ) / 4
LCM(468,5212) = 2439216 / 4
LCM(468,5212) = 609804
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8216/468, 4475/5212
1. What is the HCF of 8216,4475?
The HCF of 8216,4475 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 8216/468, 4475/5212?
Answer: GCF of Numerators as per given numbers 8216/468, 4475/5212 is
GCF of Numerators i.e. for 8216,4475 is 1
LCM of denominators i.e. for 468,5212 is 609804.
Thus, GCF of Fractions is 1/609804.Finally, GCF of Fractions for 8216/468, 4475/5212 is 1/609804.