GCF of 3325/88, 1311/733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3325/88, 1311/733 i.e 19/64504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3325/88, 1311/733.
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 3325/88,1311/733?
Given fractions are 3325/88,1311/733
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 3325/88,1311/733, numerators are 3325,1311
Denominators are 88,733
The GCF of 3325,1311 is 19 .
LCM of 88,733 is 64504.
The greatest common factor of 3325/88,1311/733 = [GCF of 3325,1311]/[LCM of 88,733]= 19/64504
Therefore, the GCF of 3325/88,1311/733 is 19/64504.
To find the highest common factor of 3325,1311, we have to find the factors of both numbers and list the highest common factor.
The factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325
The factors of 1311 are 1, 3, 19, 23, 57, 69, 437, 1311
The HCF of 3325,1311 is 19.
Lets's calculate GCF of 3325,1311
| 19 | 3325, 1311 |
| 175, 69 |
∴ So the GCF of the given numbers is 19 = 19
Greatest Common Factor of 3325,1311 By Matching Biggest Common Factor Method
Now, list down the factors of 3325
:1,5,7,19,25,35,95,133,175,475,665,3325
Now, list down the factors of 1311
:1,3,19,23,57,69,437,1311
Greatest Common Factor
We found the factors 3325,1311 . The biggest common factor number is the GCF number.
So the greatest common factor 3325,1311 is 19.
Lets's calculate LCM of 88,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 64504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/64504
Therefore, the GCF of Fractions 3325/88,1311/733 is 19/64504
Least Common Multiple of 88,733 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 88,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,733) x common factors =1 x 1 = 1
LCM(88,733) = ( 88 × 733 ) / 1
LCM(88,733) = 64504 / 1
LCM(88,733) = 64504
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FAQs on GCF of Fractions of 3325/88, 1311/733
1. What is the HCF of 3325,1311?
The HCF of 3325,1311 is 19
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 3325/88, 1311/733?
Answer: GCF of Numerators as per given numbers 3325/88, 1311/733 is
GCF of Numerators i.e. for 3325,1311 is 19
LCM of denominators i.e. for 88,733 is 64504.
Thus, GCF of Fractions is 19/64504.Finally, GCF of Fractions for 3325/88, 1311/733 is 19/64504.