GCF of 963/142, 321/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 963/142, 321/326 i.e 321/23146 easily. The following is the detailed procedure to determine the greatest common factor of fractions 963/142, 321/326.
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 963/142,321/326?
Given fractions are 963/142,321/326
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 963/142,321/326, numerators are 963,321
Denominators are 142,326
The GCF of 963,321 is 321 .
LCM of 142,326 is 23146.
The greatest common factor of 963/142,321/326 = [GCF of 963,321]/[LCM of 142,326]= 321/23146
Therefore, the GCF of 963/142,321/326 is 321/23146.
To find the highest common factor of 963,321, we have to find the factors of both numbers and list the highest common factor.
The factors of 963 are 1, 3, 9, 107, 321, 963
The factors of 321 are 1, 3, 107, 321
The HCF of 963,321 is 321.
Lets's calculate GCF of 963,321
| 3 | 963, 321 |
| 107 | 321, 107 |
| 3, 1 |
∴ So the GCF of the given numbers is 3 x 107 = 321
Greatest Common Factor of 963,321 By Matching Biggest Common Factor Method
Now, list down the factors of 963
:1,3,9,107,321,963
Now, list down the factors of 321
:1,3,107,321
Greatest Common Factor
We found the factors 963,321 . The biggest common factor number is the GCF number.
So the greatest common factor 963,321 is 321.
Lets's calculate LCM of 142,326
| 2 | 142, 326 |
| 71, 163 |
∴ So the LCM of the given numbers is 2 x 71 x 163 = 23146
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 321/23146
Therefore, the GCF of Fractions 963/142,321/326 is 321/23146
Least Common Multiple of 142,326 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 142,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,326) x common factors =2 x 1 = 2
LCM(142,326) = ( 142 × 326 ) / 2
LCM(142,326) = 46292 / 2
LCM(142,326) = 23146
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FAQs on GCF of Fractions of 963/142, 321/326
1. What is the HCF of 963,321?
The HCF of 963,321 is 321
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 963/142, 321/326?
Answer: GCF of Numerators as per given numbers 963/142, 321/326 is
GCF of Numerators i.e. for 963,321 is 321
LCM of denominators i.e. for 142,326 is 23146.
Thus, GCF of Fractions is 321/23146.Finally, GCF of Fractions for 963/142, 321/326 is 321/23146.