GCF of 382/26, 914/393
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 382/26, 914/393 i.e 2/10218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/26, 914/393.
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 382/26,914/393?
Given fractions are 382/26,914/393
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 382/26,914/393, numerators are 382,914
Denominators are 26,393
The GCF of 382,914 is 2 .
LCM of 26,393 is 10218.
The greatest common factor of 382/26,914/393 = [GCF of 382,914]/[LCM of 26,393]= 2/10218
Therefore, the GCF of 382/26,914/393 is 2/10218.
To find the highest common factor of 382,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 382 are 1, 2, 191, 382
The factors of 914 are 1, 2, 457, 914
The HCF of 382,914 is 2.
Lets's calculate GCF of 382,914
| 2 | 382, 914 |
| 191, 457 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 382,914 By Matching Biggest Common Factor Method
Now, list down the factors of 382
:1,2,191,382
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 382,914 . The biggest common factor number is the GCF number.
So the greatest common factor 382,914 is 2.
Lets's calculate LCM of 26,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 10218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10218
Therefore, the GCF of Fractions 382/26,914/393 is 2/10218
Least Common Multiple of 26,393 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 26,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(26,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(26,393) x common factors =1 x 1 = 1
LCM(26,393) = ( 26 × 393 ) / 1
LCM(26,393) = 10218 / 1
LCM(26,393) = 10218
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FAQs on GCF of Fractions of 382/26, 914/393
1. What is the HCF of 382,914?
The HCF of 382,914 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 382/26, 914/393?
Answer: GCF of Numerators as per given numbers 382/26, 914/393 is
GCF of Numerators i.e. for 382,914 is 2
LCM of denominators i.e. for 26,393 is 10218.
Thus, GCF of Fractions is 2/10218.Finally, GCF of Fractions for 382/26, 914/393 is 2/10218.