GCF of 3652/133, 6532/8033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3652/133, 6532/8033 i.e 4/1068389 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3652/133, 6532/8033.
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 3652/133,6532/8033?
Given fractions are 3652/133,6532/8033
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 3652/133,6532/8033, numerators are 3652,6532
Denominators are 133,8033
The GCF of 3652,6532 is 4 .
LCM of 133,8033 is 1068389.
The greatest common factor of 3652/133,6532/8033 = [GCF of 3652,6532]/[LCM of 133,8033]= 4/1068389
Therefore, the GCF of 3652/133,6532/8033 is 4/1068389.
To find the highest common factor of 3652,6532, we have to find the factors of both numbers and list the highest common factor.
The factors of 3652 are 1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826, 3652
The factors of 6532 are 1, 2, 4, 23, 46, 71, 92, 142, 284, 1633, 3266, 6532
The HCF of 3652,6532 is 4.
Lets's calculate GCF of 3652,6532
| 2 | 3652, 6532 |
| 2 | 1826, 3266 |
| 913, 1633 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3652,6532 By Matching Biggest Common Factor Method
Now, list down the factors of 3652
:1,2,4,11,22,44,83,166,332,913,1826,3652
Now, list down the factors of 6532
:1,2,4,23,46,71,92,142,284,1633,3266,6532
Greatest Common Factor
We found the factors 3652,6532 . The biggest common factor number is the GCF number.
So the greatest common factor 3652,6532 is 4.
Lets's calculate LCM of 133,8033
Given numbers has no common factors except 1. So, there LCM is their product i.e 1068389
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1068389
Therefore, the GCF of Fractions 3652/133,6532/8033 is 4/1068389
Least Common Multiple of 133,8033 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 133,8033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(133,8033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(133,8033) x common factors =1 x 1 = 1
LCM(133,8033) = ( 133 × 8033 ) / 1
LCM(133,8033) = 1068389 / 1
LCM(133,8033) = 1068389
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FAQs on GCF of Fractions of 3652/133, 6532/8033
1. What is the HCF of 3652,6532?
The HCF of 3652,6532 is 4
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 3652/133, 6532/8033?
Answer: GCF of Numerators as per given numbers 3652/133, 6532/8033 is
GCF of Numerators i.e. for 3652,6532 is 4
LCM of denominators i.e. for 133,8033 is 1068389.
Thus, GCF of Fractions is 4/1068389.Finally, GCF of Fractions for 3652/133, 6532/8033 is 4/1068389.