GCF of 1322/646, 9062/3115
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1322/646, 9062/3115 i.e 2/2012290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1322/646, 9062/3115.
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 1322/646,9062/3115?
Given fractions are 1322/646,9062/3115
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 1322/646,9062/3115, numerators are 1322,9062
Denominators are 646,3115
The GCF of 1322,9062 is 2 .
LCM of 646,3115 is 2012290.
The greatest common factor of 1322/646,9062/3115 = [GCF of 1322,9062]/[LCM of 646,3115]= 2/2012290
Therefore, the GCF of 1322/646,9062/3115 is 2/2012290.
To find the highest common factor of 1322,9062, we have to find the factors of both numbers and list the highest common factor.
The factors of 1322 are 1, 2, 661, 1322
The factors of 9062 are 1, 2, 23, 46, 197, 394, 4531, 9062
The HCF of 1322,9062 is 2.
Lets's calculate GCF of 1322,9062
| 2 | 1322, 9062 |
| 661, 4531 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1322,9062 By Matching Biggest Common Factor Method
Now, list down the factors of 1322
:1,2,661,1322
Now, list down the factors of 9062
:1,2,23,46,197,394,4531,9062
Greatest Common Factor
We found the factors 1322,9062 . The biggest common factor number is the GCF number.
So the greatest common factor 1322,9062 is 2.
Lets's calculate LCM of 646,3115
Given numbers has no common factors except 1. So, there LCM is their product i.e 2012290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2012290
Therefore, the GCF of Fractions 1322/646,9062/3115 is 2/2012290
Least Common Multiple of 646,3115 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 646,3115 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,3115) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,3115) x common factors =1 x 1 = 1
LCM(646,3115) = ( 646 × 3115 ) / 1
LCM(646,3115) = 2012290 / 1
LCM(646,3115) = 2012290
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FAQs on GCF of Fractions of 1322/646, 9062/3115
1. What is the HCF of 1322,9062?
The HCF of 1322,9062 is 2
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 1322/646, 9062/3115?
Answer: GCF of Numerators as per given numbers 1322/646, 9062/3115 is
GCF of Numerators i.e. for 1322,9062 is 2
LCM of denominators i.e. for 646,3115 is 2012290.
Thus, GCF of Fractions is 2/2012290.Finally, GCF of Fractions for 1322/646, 9062/3115 is 2/2012290.