GCF of 6416/123, 3176/4362
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6416/123, 3176/4362 i.e 8/178842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6416/123, 3176/4362.
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 6416/123,3176/4362?
Given fractions are 6416/123,3176/4362
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 6416/123,3176/4362, numerators are 6416,3176
Denominators are 123,4362
The GCF of 6416,3176 is 8 .
LCM of 123,4362 is 178842.
The greatest common factor of 6416/123,3176/4362 = [GCF of 6416,3176]/[LCM of 123,4362]= 8/178842
Therefore, the GCF of 6416/123,3176/4362 is 8/178842.
To find the highest common factor of 6416,3176, we have to find the factors of both numbers and list the highest common factor.
The factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416
The factors of 3176 are 1, 2, 4, 8, 397, 794, 1588, 3176
The HCF of 6416,3176 is 8.
Lets's calculate GCF of 6416,3176
| 2 | 6416, 3176 |
| 2 | 3208, 1588 |
| 2 | 1604, 794 |
| 802, 397 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 6416,3176 By Matching Biggest Common Factor Method
Now, list down the factors of 6416
:1,2,4,8,16,401,802,1604,3208,6416
Now, list down the factors of 3176
:1,2,4,8,397,794,1588,3176
Greatest Common Factor
We found the factors 6416,3176 . The biggest common factor number is the GCF number.
So the greatest common factor 6416,3176 is 8.
Lets's calculate LCM of 123,4362
| 3 | 123, 4362 |
| 41, 1454 |
∴ So the LCM of the given numbers is 3 x 41 x 1454 = 178842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/178842
Therefore, the GCF of Fractions 6416/123,3176/4362 is 8/178842
Least Common Multiple of 123,4362 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 123,4362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,4362) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(123,4362) x common factors =3 x 1 = 3
LCM(123,4362) = ( 123 × 4362 ) / 3
LCM(123,4362) = 536526 / 3
LCM(123,4362) = 178842
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FAQs on GCF of Fractions of 6416/123, 3176/4362
1. What is the HCF of 6416,3176?
The HCF of 6416,3176 is 8
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 6416/123, 3176/4362?
Answer: GCF of Numerators as per given numbers 6416/123, 3176/4362 is
GCF of Numerators i.e. for 6416,3176 is 8
LCM of denominators i.e. for 123,4362 is 178842.
Thus, GCF of Fractions is 8/178842.Finally, GCF of Fractions for 6416/123, 3176/4362 is 8/178842.