GCF of 6816/669, 2775/3834
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6816/669, 2775/3834 i.e 3/854982 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6816/669, 2775/3834.
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 6816/669,2775/3834?
Given fractions are 6816/669,2775/3834
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 6816/669,2775/3834, numerators are 6816,2775
Denominators are 669,3834
The GCF of 6816,2775 is 3 .
LCM of 669,3834 is 854982.
The greatest common factor of 6816/669,2775/3834 = [GCF of 6816,2775]/[LCM of 669,3834]= 3/854982
Therefore, the GCF of 6816/669,2775/3834 is 3/854982.
To find the highest common factor of 6816,2775, we have to find the factors of both numbers and list the highest common factor.
The factors of 6816 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 71, 96, 142, 213, 284, 426, 568, 852, 1136, 1704, 2272, 3408, 6816
The factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775
The HCF of 6816,2775 is 3.
Lets's calculate GCF of 6816,2775
| 3 | 6816, 2775 |
| 2272, 925 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6816,2775 By Matching Biggest Common Factor Method
Now, list down the factors of 6816
:1,2,3,4,6,8,12,16,24,32,48,71,96,142,213,284,426,568,852,1136,1704,2272,3408,6816
Now, list down the factors of 2775
:1,3,5,15,25,37,75,111,185,555,925,2775
Greatest Common Factor
We found the factors 6816,2775 . The biggest common factor number is the GCF number.
So the greatest common factor 6816,2775 is 3.
Lets's calculate LCM of 669,3834
| 3 | 669, 3834 |
| 223, 1278 |
∴ So the LCM of the given numbers is 3 x 223 x 1278 = 854982
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/854982
Therefore, the GCF of Fractions 6816/669,2775/3834 is 3/854982
Least Common Multiple of 669,3834 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 669,3834 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(669,3834) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(669,3834) x common factors =3 x 1 = 3
LCM(669,3834) = ( 669 × 3834 ) / 3
LCM(669,3834) = 2564946 / 3
LCM(669,3834) = 854982
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6816/669, 2775/3834
1. What is the HCF of 6816,2775?
The HCF of 6816,2775 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 6816/669, 2775/3834?
Answer: GCF of Numerators as per given numbers 6816/669, 2775/3834 is
GCF of Numerators i.e. for 6816,2775 is 3
LCM of denominators i.e. for 669,3834 is 854982.
Thus, GCF of Fractions is 3/854982.Finally, GCF of Fractions for 6816/669, 2775/3834 is 3/854982.