GCF of 1065/796, 1066/3932
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1065/796, 1066/3932 i.e 1/782468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1065/796, 1066/3932.
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 1065/796,1066/3932?
Given fractions are 1065/796,1066/3932
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 1065/796,1066/3932, numerators are 1065,1066
Denominators are 796,3932
The GCF of 1065,1066 is 1 .
LCM of 796,3932 is 782468.
The greatest common factor of 1065/796,1066/3932 = [GCF of 1065,1066]/[LCM of 796,3932]= 1/782468
Therefore, the GCF of 1065/796,1066/3932 is 1/782468.
To find the highest common factor of 1065,1066, we have to find the factors of both numbers and list the highest common factor.
The factors of 1065 are 1, 3, 5, 15, 71, 213, 355, 1065
The factors of 1066 are 1, 2, 13, 26, 41, 82, 533, 1066
The HCF of 1065,1066 is 1.
Lets's calculate GCF of 1065,1066
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1065,1066 By Matching Biggest Common Factor Method
Now, list down the factors of 1065
:1,3,5,15,71,213,355,1065
Now, list down the factors of 1066
:1,2,13,26,41,82,533,1066
Greatest Common Factor
We found the factors 1065,1066 . The biggest common factor number is the GCF number.
So the greatest common factor 1065,1066 is 1.
Lets's calculate LCM of 796,3932
| 2 | 796, 3932 |
| 2 | 398, 1966 |
| 199, 983 |
∴ So the LCM of the given numbers is 2 x 2 x 199 x 983 = 782468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/782468
Therefore, the GCF of Fractions 1065/796,1066/3932 is 1/782468
Least Common Multiple of 796,3932 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 796,3932 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(796,3932) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(796,3932) x common factors =4 x 1 = 4
LCM(796,3932) = ( 796 × 3932 ) / 4
LCM(796,3932) = 3129872 / 4
LCM(796,3932) = 782468
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FAQs on GCF of Fractions of 1065/796, 1066/3932
1. What is the HCF of 1065,1066?
The HCF of 1065,1066 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 1065/796, 1066/3932?
Answer: GCF of Numerators as per given numbers 1065/796, 1066/3932 is
GCF of Numerators i.e. for 1065,1066 is 1
LCM of denominators i.e. for 796,3932 is 782468.
Thus, GCF of Fractions is 1/782468.Finally, GCF of Fractions for 1065/796, 1066/3932 is 1/782468.