GCF of 1621/363, 1764/9375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1621/363, 1764/9375 i.e 1/1134375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1621/363, 1764/9375.
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 1621/363,1764/9375?
Given fractions are 1621/363,1764/9375
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 1621/363,1764/9375, numerators are 1621,1764
Denominators are 363,9375
The GCF of 1621,1764 is 1 .
LCM of 363,9375 is 1134375.
The greatest common factor of 1621/363,1764/9375 = [GCF of 1621,1764]/[LCM of 363,9375]= 1/1134375
Therefore, the GCF of 1621/363,1764/9375 is 1/1134375.
To find the highest common factor of 1621,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 1621 are 1, 1621
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 1621,1764 is 1.
Lets's calculate GCF of 1621,1764
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1621,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 1621
:1,1621
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 1621,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 1621,1764 is 1.
Lets's calculate LCM of 363,9375
| 3 | 363, 9375 |
| 121, 3125 |
∴ So the LCM of the given numbers is 3 x 121 x 3125 = 1134375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1134375
Therefore, the GCF of Fractions 1621/363,1764/9375 is 1/1134375
Least Common Multiple of 363,9375 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 363,9375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(363,9375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(363,9375) x common factors =3 x 1 = 3
LCM(363,9375) = ( 363 × 9375 ) / 3
LCM(363,9375) = 3403125 / 3
LCM(363,9375) = 1134375
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FAQs on GCF of Fractions of 1621/363, 1764/9375
1. What is the HCF of 1621,1764?
The HCF of 1621,1764 is 1
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 1621/363, 1764/9375?
Answer: GCF of Numerators as per given numbers 1621/363, 1764/9375 is
GCF of Numerators i.e. for 1621,1764 is 1
LCM of denominators i.e. for 363,9375 is 1134375.
Thus, GCF of Fractions is 1/1134375.Finally, GCF of Fractions for 1621/363, 1764/9375 is 1/1134375.