GCF of 1279/268, 3942/9036
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1279/268, 3942/9036 i.e 1/605412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1279/268, 3942/9036.
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 1279/268,3942/9036?
Given fractions are 1279/268,3942/9036
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 1279/268,3942/9036, numerators are 1279,3942
Denominators are 268,9036
The GCF of 1279,3942 is 1 .
LCM of 268,9036 is 605412.
The greatest common factor of 1279/268,3942/9036 = [GCF of 1279,3942]/[LCM of 268,9036]= 1/605412
Therefore, the GCF of 1279/268,3942/9036 is 1/605412.
To find the highest common factor of 1279,3942, we have to find the factors of both numbers and list the highest common factor.
The factors of 1279 are 1, 1279
The factors of 3942 are 1, 2, 3, 6, 9, 18, 27, 54, 73, 146, 219, 438, 657, 1314, 1971, 3942
The HCF of 1279,3942 is 1.
Lets's calculate GCF of 1279,3942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1279,3942 By Matching Biggest Common Factor Method
Now, list down the factors of 1279
:1,1279
Now, list down the factors of 3942
:1,2,3,6,9,18,27,54,73,146,219,438,657,1314,1971,3942
Greatest Common Factor
We found the factors 1279,3942 . The biggest common factor number is the GCF number.
So the greatest common factor 1279,3942 is 1.
Lets's calculate LCM of 268,9036
| 2 | 268, 9036 |
| 2 | 134, 4518 |
| 67, 2259 |
∴ So the LCM of the given numbers is 2 x 2 x 67 x 2259 = 605412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605412
Therefore, the GCF of Fractions 1279/268,3942/9036 is 1/605412
Least Common Multiple of 268,9036 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 268,9036 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,9036) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(268,9036) x common factors =4 x 1 = 4
LCM(268,9036) = ( 268 × 9036 ) / 4
LCM(268,9036) = 2421648 / 4
LCM(268,9036) = 605412
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FAQs on GCF of Fractions of 1279/268, 3942/9036
1. What is the HCF of 1279,3942?
The HCF of 1279,3942 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 1279/268, 3942/9036?
Answer: GCF of Numerators as per given numbers 1279/268, 3942/9036 is
GCF of Numerators i.e. for 1279,3942 is 1
LCM of denominators i.e. for 268,9036 is 605412.
Thus, GCF of Fractions is 1/605412.Finally, GCF of Fractions for 1279/268, 3942/9036 is 1/605412.