GCF of 3428/285, 6378/538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3428/285, 6378/538 i.e 2/153330 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3428/285, 6378/538.
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 3428/285,6378/538?
Given fractions are 3428/285,6378/538
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 3428/285,6378/538, numerators are 3428,6378
Denominators are 285,538
The GCF of 3428,6378 is 2 .
LCM of 285,538 is 153330.
The greatest common factor of 3428/285,6378/538 = [GCF of 3428,6378]/[LCM of 285,538]= 2/153330
Therefore, the GCF of 3428/285,6378/538 is 2/153330.
To find the highest common factor of 3428,6378, we have to find the factors of both numbers and list the highest common factor.
The factors of 3428 are 1, 2, 4, 857, 1714, 3428
The factors of 6378 are 1, 2, 3, 6, 1063, 2126, 3189, 6378
The HCF of 3428,6378 is 2.
Lets's calculate GCF of 3428,6378
| 2 | 3428, 6378 |
| 1714, 3189 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3428,6378 By Matching Biggest Common Factor Method
Now, list down the factors of 3428
:1,2,4,857,1714,3428
Now, list down the factors of 6378
:1,2,3,6,1063,2126,3189,6378
Greatest Common Factor
We found the factors 3428,6378 . The biggest common factor number is the GCF number.
So the greatest common factor 3428,6378 is 2.
Lets's calculate LCM of 285,538
Given numbers has no common factors except 1. So, there LCM is their product i.e 153330
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/153330
Therefore, the GCF of Fractions 3428/285,6378/538 is 2/153330
Least Common Multiple of 285,538 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 285,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(285,538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(285,538) x common factors =1 x 1 = 1
LCM(285,538) = ( 285 × 538 ) / 1
LCM(285,538) = 153330 / 1
LCM(285,538) = 153330
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FAQs on GCF of Fractions of 3428/285, 6378/538
1. What is the HCF of 3428,6378?
The HCF of 3428,6378 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 3428/285, 6378/538?
Answer: GCF of Numerators as per given numbers 3428/285, 6378/538 is
GCF of Numerators i.e. for 3428,6378 is 2
LCM of denominators i.e. for 285,538 is 153330.
Thus, GCF of Fractions is 2/153330.Finally, GCF of Fractions for 3428/285, 6378/538 is 2/153330.