GCF of 1533/615, 7746/355
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1533/615, 7746/355 i.e 3/43665 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1533/615, 7746/355.
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 1533/615,7746/355?
Given fractions are 1533/615,7746/355
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 1533/615,7746/355, numerators are 1533,7746
Denominators are 615,355
The GCF of 1533,7746 is 3 .
LCM of 615,355 is 43665.
The greatest common factor of 1533/615,7746/355 = [GCF of 1533,7746]/[LCM of 615,355]= 3/43665
Therefore, the GCF of 1533/615,7746/355 is 3/43665.
To find the highest common factor of 1533,7746, 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 7746 are 1, 2, 3, 6, 1291, 2582, 3873, 7746
The HCF of 1533,7746 is 3.
Lets's calculate GCF of 1533,7746
| 3 | 1533, 7746 |
| 511, 2582 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1533,7746 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 7746
:1,2,3,6,1291,2582,3873,7746
Greatest Common Factor
We found the factors 1533,7746 . The biggest common factor number is the GCF number.
So the greatest common factor 1533,7746 is 3.
Lets's calculate LCM of 615,355
| 5 | 615, 355 |
| 123, 71 |
∴ So the LCM of the given numbers is 5 x 123 x 71 = 43665
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43665
Therefore, the GCF of Fractions 1533/615,7746/355 is 3/43665
Least Common Multiple of 615,355 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 615,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(615,355) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(615,355) x common factors =5 x 1 = 5
LCM(615,355) = ( 615 × 355 ) / 5
LCM(615,355) = 218325 / 5
LCM(615,355) = 43665
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FAQs on GCF of Fractions of 1533/615, 7746/355
1. What is the HCF of 1533,7746?
The HCF of 1533,7746 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 1533/615, 7746/355?
Answer: GCF of Numerators as per given numbers 1533/615, 7746/355 is
GCF of Numerators i.e. for 1533,7746 is 3
LCM of denominators i.e. for 615,355 is 43665.
Thus, GCF of Fractions is 3/43665.Finally, GCF of Fractions for 1533/615, 7746/355 is 3/43665.