GCF of 6788/320, 4401/416
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6788/320, 4401/416 i.e 1/4160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6788/320, 4401/416.
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 6788/320,4401/416?
Given fractions are 6788/320,4401/416
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 6788/320,4401/416, numerators are 6788,4401
Denominators are 320,416
The GCF of 6788,4401 is 1 .
LCM of 320,416 is 4160.
The greatest common factor of 6788/320,4401/416 = [GCF of 6788,4401]/[LCM of 320,416]= 1/4160
Therefore, the GCF of 6788/320,4401/416 is 1/4160.
To find the highest common factor of 6788,4401, we have to find the factors of both numbers and list the highest common factor.
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The factors of 4401 are 1, 3, 9, 27, 163, 489, 1467, 4401
The HCF of 6788,4401 is 1.
Lets's calculate GCF of 6788,4401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6788,4401 By Matching Biggest Common Factor Method
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Now, list down the factors of 4401
:1,3,9,27,163,489,1467,4401
Greatest Common Factor
We found the factors 6788,4401 . The biggest common factor number is the GCF number.
So the greatest common factor 6788,4401 is 1.
Lets's calculate LCM of 320,416
| 2 | 320, 416 |
| 2 | 160, 208 |
| 2 | 80, 104 |
| 2 | 40, 52 |
| 2 | 20, 26 |
| 10, 13 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 10 x 13 = 4160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4160
Therefore, the GCF of Fractions 6788/320,4401/416 is 1/4160
Least Common Multiple of 320,416 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 320,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(320,416) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(320,416) x common factors =32 x 1 = 32
LCM(320,416) = ( 320 × 416 ) / 32
LCM(320,416) = 133120 / 32
LCM(320,416) = 4160
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FAQs on GCF of Fractions of 6788/320, 4401/416
1. What is the HCF of 6788,4401?
The HCF of 6788,4401 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 6788/320, 4401/416?
Answer: GCF of Numerators as per given numbers 6788/320, 4401/416 is
GCF of Numerators i.e. for 6788,4401 is 1
LCM of denominators i.e. for 320,416 is 4160.
Thus, GCF of Fractions is 1/4160.Finally, GCF of Fractions for 6788/320, 4401/416 is 1/4160.