GCF of 3286/286, 1942/7464
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3286/286, 1942/7464 i.e 2/1067352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3286/286, 1942/7464.
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 3286/286,1942/7464?
Given fractions are 3286/286,1942/7464
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 3286/286,1942/7464, numerators are 3286,1942
Denominators are 286,7464
The GCF of 3286,1942 is 2 .
LCM of 286,7464 is 1067352.
The greatest common factor of 3286/286,1942/7464 = [GCF of 3286,1942]/[LCM of 286,7464]= 2/1067352
Therefore, the GCF of 3286/286,1942/7464 is 2/1067352.
To find the highest common factor of 3286,1942, we have to find the factors of both numbers and list the highest common factor.
The factors of 3286 are 1, 2, 31, 53, 62, 106, 1643, 3286
The factors of 1942 are 1, 2, 971, 1942
The HCF of 3286,1942 is 2.
Lets's calculate GCF of 3286,1942
| 2 | 3286, 1942 |
| 1643, 971 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3286,1942 By Matching Biggest Common Factor Method
Now, list down the factors of 3286
:1,2,31,53,62,106,1643,3286
Now, list down the factors of 1942
:1,2,971,1942
Greatest Common Factor
We found the factors 3286,1942 . The biggest common factor number is the GCF number.
So the greatest common factor 3286,1942 is 2.
Lets's calculate LCM of 286,7464
| 2 | 286, 7464 |
| 143, 3732 |
∴ So the LCM of the given numbers is 2 x 143 x 3732 = 1067352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1067352
Therefore, the GCF of Fractions 3286/286,1942/7464 is 2/1067352
Least Common Multiple of 286,7464 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 286,7464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,7464) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(286,7464) x common factors =2 x 1 = 2
LCM(286,7464) = ( 286 × 7464 ) / 2
LCM(286,7464) = 2134704 / 2
LCM(286,7464) = 1067352
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FAQs on GCF of Fractions of 3286/286, 1942/7464
1. What is the HCF of 3286,1942?
The HCF of 3286,1942 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 3286/286, 1942/7464?
Answer: GCF of Numerators as per given numbers 3286/286, 1942/7464 is
GCF of Numerators i.e. for 3286,1942 is 2
LCM of denominators i.e. for 286,7464 is 1067352.
Thus, GCF of Fractions is 2/1067352.Finally, GCF of Fractions for 3286/286, 1942/7464 is 2/1067352.