GCF of 1965/322, 8292/8033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1965/322, 8292/8033 i.e 3/2586626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1965/322, 8292/8033.
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 1965/322,8292/8033?
Given fractions are 1965/322,8292/8033
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 1965/322,8292/8033, numerators are 1965,8292
Denominators are 322,8033
The GCF of 1965,8292 is 3 .
LCM of 322,8033 is 2586626.
The greatest common factor of 1965/322,8292/8033 = [GCF of 1965,8292]/[LCM of 322,8033]= 3/2586626
Therefore, the GCF of 1965/322,8292/8033 is 3/2586626.
To find the highest common factor of 1965,8292, we have to find the factors of both numbers and list the highest common factor.
The factors of 1965 are 1, 3, 5, 15, 131, 393, 655, 1965
The factors of 8292 are 1, 2, 3, 4, 6, 12, 691, 1382, 2073, 2764, 4146, 8292
The HCF of 1965,8292 is 3.
Lets's calculate GCF of 1965,8292
| 3 | 1965, 8292 |
| 655, 2764 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1965,8292 By Matching Biggest Common Factor Method
Now, list down the factors of 1965
:1,3,5,15,131,393,655,1965
Now, list down the factors of 8292
:1,2,3,4,6,12,691,1382,2073,2764,4146,8292
Greatest Common Factor
We found the factors 1965,8292 . The biggest common factor number is the GCF number.
So the greatest common factor 1965,8292 is 3.
Lets's calculate LCM of 322,8033
Given numbers has no common factors except 1. So, there LCM is their product i.e 2586626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2586626
Therefore, the GCF of Fractions 1965/322,8292/8033 is 3/2586626
Least Common Multiple of 322,8033 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 322,8033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(322,8033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(322,8033) x common factors =1 x 1 = 1
LCM(322,8033) = ( 322 × 8033 ) / 1
LCM(322,8033) = 2586626 / 1
LCM(322,8033) = 2586626
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FAQs on GCF of Fractions of 1965/322, 8292/8033
1. What is the HCF of 1965,8292?
The HCF of 1965,8292 is 3
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 1965/322, 8292/8033?
Answer: GCF of Numerators as per given numbers 1965/322, 8292/8033 is
GCF of Numerators i.e. for 1965,8292 is 3
LCM of denominators i.e. for 322,8033 is 2586626.
Thus, GCF of Fractions is 3/2586626.Finally, GCF of Fractions for 1965/322, 8292/8033 is 3/2586626.