GCF of 4477/416, 2378/9344
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4477/416, 2378/9344 i.e 1/121472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4477/416, 2378/9344.
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 4477/416,2378/9344?
Given fractions are 4477/416,2378/9344
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 4477/416,2378/9344, numerators are 4477,2378
Denominators are 416,9344
The GCF of 4477,2378 is 1 .
LCM of 416,9344 is 121472.
The greatest common factor of 4477/416,2378/9344 = [GCF of 4477,2378]/[LCM of 416,9344]= 1/121472
Therefore, the GCF of 4477/416,2378/9344 is 1/121472.
To find the highest common factor of 4477,2378, we have to find the factors of both numbers and list the highest common factor.
The factors of 4477 are 1, 11, 37, 121, 407, 4477
The factors of 2378 are 1, 2, 29, 41, 58, 82, 1189, 2378
The HCF of 4477,2378 is 1.
Lets's calculate GCF of 4477,2378
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4477,2378 By Matching Biggest Common Factor Method
Now, list down the factors of 4477
:1,11,37,121,407,4477
Now, list down the factors of 2378
:1,2,29,41,58,82,1189,2378
Greatest Common Factor
We found the factors 4477,2378 . The biggest common factor number is the GCF number.
So the greatest common factor 4477,2378 is 1.
Lets's calculate LCM of 416,9344
| 2 | 416, 9344 |
| 2 | 208, 4672 |
| 2 | 104, 2336 |
| 2 | 52, 1168 |
| 2 | 26, 584 |
| 13, 292 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 13 x 292 = 121472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121472
Therefore, the GCF of Fractions 4477/416,2378/9344 is 1/121472
Least Common Multiple of 416,9344 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 416,9344 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,9344) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(416,9344) x common factors =32 x 1 = 32
LCM(416,9344) = ( 416 × 9344 ) / 32
LCM(416,9344) = 3887104 / 32
LCM(416,9344) = 121472
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FAQs on GCF of Fractions of 4477/416, 2378/9344
1. What is the HCF of 4477,2378?
The HCF of 4477,2378 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 4477/416, 2378/9344?
Answer: GCF of Numerators as per given numbers 4477/416, 2378/9344 is
GCF of Numerators i.e. for 4477,2378 is 1
LCM of denominators i.e. for 416,9344 is 121472.
Thus, GCF of Fractions is 1/121472.Finally, GCF of Fractions for 4477/416, 2378/9344 is 1/121472.