GCF of 1533/459, 3640/1693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1533/459, 3640/1693 i.e 7/777087 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1533/459, 3640/1693.
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 1533/459,3640/1693?
Given fractions are 1533/459,3640/1693
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 1533/459,3640/1693, numerators are 1533,3640
Denominators are 459,1693
The GCF of 1533,3640 is 7 .
LCM of 459,1693 is 777087.
The greatest common factor of 1533/459,3640/1693 = [GCF of 1533,3640]/[LCM of 459,1693]= 7/777087
Therefore, the GCF of 1533/459,3640/1693 is 7/777087.
To find the highest common factor of 1533,3640, we have to find the factors of both numbers and list the highest common factor.
The factors of 1533 are 1, 3, 7, 21, 73, 219, 511, 1533
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 1533,3640 is 7.
Lets's calculate GCF of 1533,3640
| 7 | 1533, 3640 |
| 219, 520 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1533,3640 By Matching Biggest Common Factor Method
Now, list down the factors of 1533
:1,3,7,21,73,219,511,1533
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 1533,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 1533,3640 is 7.
Lets's calculate LCM of 459,1693
Given numbers has no common factors except 1. So, there LCM is their product i.e 777087
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/777087
Therefore, the GCF of Fractions 1533/459,3640/1693 is 7/777087
Least Common Multiple of 459,1693 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 459,1693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(459,1693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(459,1693) x common factors =1 x 1 = 1
LCM(459,1693) = ( 459 × 1693 ) / 1
LCM(459,1693) = 777087 / 1
LCM(459,1693) = 777087
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FAQs on GCF of Fractions of 1533/459, 3640/1693
1. What is the HCF of 1533,3640?
The HCF of 1533,3640 is 7
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 1533/459, 3640/1693?
Answer: GCF of Numerators as per given numbers 1533/459, 3640/1693 is
GCF of Numerators i.e. for 1533,3640 is 7
LCM of denominators i.e. for 459,1693 is 777087.
Thus, GCF of Fractions is 7/777087.Finally, GCF of Fractions for 1533/459, 3640/1693 is 7/777087.