GCF of 2936/771, 1824/5948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2936/771, 1824/5948 i.e 8/4585908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2936/771, 1824/5948.
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 2936/771,1824/5948?
Given fractions are 2936/771,1824/5948
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 2936/771,1824/5948, numerators are 2936,1824
Denominators are 771,5948
The GCF of 2936,1824 is 8 .
LCM of 771,5948 is 4585908.
The greatest common factor of 2936/771,1824/5948 = [GCF of 2936,1824]/[LCM of 771,5948]= 8/4585908
Therefore, the GCF of 2936/771,1824/5948 is 8/4585908.
To find the highest common factor of 2936,1824, we have to find the factors of both numbers and list the highest common factor.
The factors of 2936 are 1, 2, 4, 8, 367, 734, 1468, 2936
The factors of 1824 are 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 38, 48, 57, 76, 96, 114, 152, 228, 304, 456, 608, 912, 1824
The HCF of 2936,1824 is 8.
Lets's calculate GCF of 2936,1824
| 2 | 2936, 1824 |
| 2 | 1468, 912 |
| 2 | 734, 456 |
| 367, 228 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2936,1824 By Matching Biggest Common Factor Method
Now, list down the factors of 2936
:1,2,4,8,367,734,1468,2936
Now, list down the factors of 1824
:1,2,3,4,6,8,12,16,19,24,32,38,48,57,76,96,114,152,228,304,456,608,912,1824
Greatest Common Factor
We found the factors 2936,1824 . The biggest common factor number is the GCF number.
So the greatest common factor 2936,1824 is 8.
Lets's calculate LCM of 771,5948
Given numbers has no common factors except 1. So, there LCM is their product i.e 4585908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/4585908
Therefore, the GCF of Fractions 2936/771,1824/5948 is 8/4585908
Least Common Multiple of 771,5948 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 771,5948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,5948) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,5948) x common factors =1 x 1 = 1
LCM(771,5948) = ( 771 × 5948 ) / 1
LCM(771,5948) = 4585908 / 1
LCM(771,5948) = 4585908
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FAQs on GCF of Fractions of 2936/771, 1824/5948
1. What is the HCF of 2936,1824?
The HCF of 2936,1824 is 8
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 2936/771, 1824/5948?
Answer: GCF of Numerators as per given numbers 2936/771, 1824/5948 is
GCF of Numerators i.e. for 2936,1824 is 8
LCM of denominators i.e. for 771,5948 is 4585908.
Thus, GCF of Fractions is 8/4585908.Finally, GCF of Fractions for 2936/771, 1824/5948 is 8/4585908.