GCF of 5964/264, 6738/1933
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5964/264, 6738/1933 i.e 6/510312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5964/264, 6738/1933.
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 5964/264,6738/1933?
Given fractions are 5964/264,6738/1933
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 5964/264,6738/1933, numerators are 5964,6738
Denominators are 264,1933
The GCF of 5964,6738 is 6 .
LCM of 264,1933 is 510312.
The greatest common factor of 5964/264,6738/1933 = [GCF of 5964,6738]/[LCM of 264,1933]= 6/510312
Therefore, the GCF of 5964/264,6738/1933 is 6/510312.
To find the highest common factor of 5964,6738, we have to find the factors of both numbers and list the highest common factor.
The factors of 5964 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 71, 84, 142, 213, 284, 426, 497, 852, 994, 1491, 1988, 2982, 5964
The factors of 6738 are 1, 2, 3, 6, 1123, 2246, 3369, 6738
The HCF of 5964,6738 is 6.
Lets's calculate GCF of 5964,6738
| 2 | 5964, 6738 |
| 3 | 2982, 3369 |
| 994, 1123 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5964,6738 By Matching Biggest Common Factor Method
Now, list down the factors of 5964
:1,2,3,4,6,7,12,14,21,28,42,71,84,142,213,284,426,497,852,994,1491,1988,2982,5964
Now, list down the factors of 6738
:1,2,3,6,1123,2246,3369,6738
Greatest Common Factor
We found the factors 5964,6738 . The biggest common factor number is the GCF number.
So the greatest common factor 5964,6738 is 6.
Lets's calculate LCM of 264,1933
Given numbers has no common factors except 1. So, there LCM is their product i.e 510312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/510312
Therefore, the GCF of Fractions 5964/264,6738/1933 is 6/510312
Least Common Multiple of 264,1933 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 264,1933 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,1933) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(264,1933) x common factors =1 x 1 = 1
LCM(264,1933) = ( 264 × 1933 ) / 1
LCM(264,1933) = 510312 / 1
LCM(264,1933) = 510312
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FAQs on GCF of Fractions of 5964/264, 6738/1933
1. What is the HCF of 5964,6738?
The HCF of 5964,6738 is 6
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 5964/264, 6738/1933?
Answer: GCF of Numerators as per given numbers 5964/264, 6738/1933 is
GCF of Numerators i.e. for 5964,6738 is 6
LCM of denominators i.e. for 264,1933 is 510312.
Thus, GCF of Fractions is 6/510312.Finally, GCF of Fractions for 5964/264, 6738/1933 is 6/510312.