GCF of 380/454, 6404/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 380/454, 6404/246 i.e 4/55842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 380/454, 6404/246.
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 380/454,6404/246?
Given fractions are 380/454,6404/246
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 380/454,6404/246, numerators are 380,6404
Denominators are 454,246
The GCF of 380,6404 is 4 .
LCM of 454,246 is 55842.
The greatest common factor of 380/454,6404/246 = [GCF of 380,6404]/[LCM of 454,246]= 4/55842
Therefore, the GCF of 380/454,6404/246 is 4/55842.
To find the highest common factor of 380,6404, we have to find the factors of both numbers and list the highest common factor.
The factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
The factors of 6404 are 1, 2, 4, 1601, 3202, 6404
The HCF of 380,6404 is 4.
Lets's calculate GCF of 380,6404
| 2 | 380, 6404 |
| 2 | 190, 3202 |
| 95, 1601 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 380,6404 By Matching Biggest Common Factor Method
Now, list down the factors of 380
:1,2,4,5,10,19,20,38,76,95,190,380
Now, list down the factors of 6404
:1,2,4,1601,3202,6404
Greatest Common Factor
We found the factors 380,6404 . The biggest common factor number is the GCF number.
So the greatest common factor 380,6404 is 4.
Lets's calculate LCM of 454,246
| 2 | 454, 246 |
| 227, 123 |
∴ So the LCM of the given numbers is 2 x 227 x 123 = 55842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/55842
Therefore, the GCF of Fractions 380/454,6404/246 is 4/55842
Least Common Multiple of 454,246 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 454,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(454,246) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(454,246) x common factors =2 x 1 = 2
LCM(454,246) = ( 454 × 246 ) / 2
LCM(454,246) = 111684 / 2
LCM(454,246) = 55842
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FAQs on GCF of Fractions of 380/454, 6404/246
1. What is the HCF of 380,6404?
The HCF of 380,6404 is 4
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 380/454, 6404/246?
Answer: GCF of Numerators as per given numbers 380/454, 6404/246 is
GCF of Numerators i.e. for 380,6404 is 4
LCM of denominators i.e. for 454,246 is 55842.
Thus, GCF of Fractions is 4/55842.Finally, GCF of Fractions for 380/454, 6404/246 is 4/55842.