GCF of 3144/816, 2277/7534
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3144/816, 2277/7534 i.e 3/3073872 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3144/816, 2277/7534.
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 3144/816,2277/7534?
Given fractions are 3144/816,2277/7534
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 3144/816,2277/7534, numerators are 3144,2277
Denominators are 816,7534
The GCF of 3144,2277 is 3 .
LCM of 816,7534 is 3073872.
The greatest common factor of 3144/816,2277/7534 = [GCF of 3144,2277]/[LCM of 816,7534]= 3/3073872
Therefore, the GCF of 3144/816,2277/7534 is 3/3073872.
To find the highest common factor of 3144,2277, we have to find the factors of both numbers and list the highest common factor.
The factors of 3144 are 1, 2, 3, 4, 6, 8, 12, 24, 131, 262, 393, 524, 786, 1048, 1572, 3144
The factors of 2277 are 1, 3, 9, 11, 23, 33, 69, 99, 207, 253, 759, 2277
The HCF of 3144,2277 is 3.
Lets's calculate GCF of 3144,2277
| 3 | 3144, 2277 |
| 1048, 759 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3144,2277 By Matching Biggest Common Factor Method
Now, list down the factors of 3144
:1,2,3,4,6,8,12,24,131,262,393,524,786,1048,1572,3144
Now, list down the factors of 2277
:1,3,9,11,23,33,69,99,207,253,759,2277
Greatest Common Factor
We found the factors 3144,2277 . The biggest common factor number is the GCF number.
So the greatest common factor 3144,2277 is 3.
Lets's calculate LCM of 816,7534
| 2 | 816, 7534 |
| 408, 3767 |
∴ So the LCM of the given numbers is 2 x 408 x 3767 = 3073872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3073872
Therefore, the GCF of Fractions 3144/816,2277/7534 is 3/3073872
Least Common Multiple of 816,7534 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 816,7534 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(816,7534) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(816,7534) x common factors =2 x 1 = 2
LCM(816,7534) = ( 816 × 7534 ) / 2
LCM(816,7534) = 6147744 / 2
LCM(816,7534) = 3073872
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FAQs on GCF of Fractions of 3144/816, 2277/7534
1. What is the HCF of 3144,2277?
The HCF of 3144,2277 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 3144/816, 2277/7534?
Answer: GCF of Numerators as per given numbers 3144/816, 2277/7534 is
GCF of Numerators i.e. for 3144,2277 is 3
LCM of denominators i.e. for 816,7534 is 3073872.
Thus, GCF of Fractions is 3/3073872.Finally, GCF of Fractions for 3144/816, 2277/7534 is 3/3073872.