GCF of 2769/114, 3024/448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2769/114, 3024/448 i.e 3/25536 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2769/114, 3024/448.
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 2769/114,3024/448?
Given fractions are 2769/114,3024/448
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 2769/114,3024/448, numerators are 2769,3024
Denominators are 114,448
The GCF of 2769,3024 is 3 .
LCM of 114,448 is 25536.
The greatest common factor of 2769/114,3024/448 = [GCF of 2769,3024]/[LCM of 114,448]= 3/25536
Therefore, the GCF of 2769/114,3024/448 is 3/25536.
To find the highest common factor of 2769,3024, we have to find the factors of both numbers and list the highest common factor.
The factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769
The factors of 3024 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 84, 108, 112, 126, 144, 168, 189, 216, 252, 336, 378, 432, 504, 756, 1008, 1512, 3024
The HCF of 2769,3024 is 3.
Lets's calculate GCF of 2769,3024
| 3 | 2769, 3024 |
| 923, 1008 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2769,3024 By Matching Biggest Common Factor Method
Now, list down the factors of 2769
:1,3,13,39,71,213,923,2769
Now, list down the factors of 3024
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,84,108,112,126,144,168,189,216,252,336,378,432,504,756,1008,1512,3024
Greatest Common Factor
We found the factors 2769,3024 . The biggest common factor number is the GCF number.
So the greatest common factor 2769,3024 is 3.
Lets's calculate LCM of 114,448
| 2 | 114, 448 |
| 57, 224 |
∴ So the LCM of the given numbers is 2 x 57 x 224 = 25536
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25536
Therefore, the GCF of Fractions 2769/114,3024/448 is 3/25536
Least Common Multiple of 114,448 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 114,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(114,448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(114,448) x common factors =2 x 1 = 2
LCM(114,448) = ( 114 × 448 ) / 2
LCM(114,448) = 51072 / 2
LCM(114,448) = 25536
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FAQs on GCF of Fractions of 2769/114, 3024/448
1. What is the HCF of 2769,3024?
The HCF of 2769,3024 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 2769/114, 3024/448?
Answer: GCF of Numerators as per given numbers 2769/114, 3024/448 is
GCF of Numerators i.e. for 2769,3024 is 3
LCM of denominators i.e. for 114,448 is 25536.
Thus, GCF of Fractions is 3/25536.Finally, GCF of Fractions for 2769/114, 3024/448 is 3/25536.