GCF of 5660/878, 4393/472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5660/878, 4393/472 i.e 1/207208 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5660/878, 4393/472.
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 5660/878,4393/472?
Given fractions are 5660/878,4393/472
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 5660/878,4393/472, numerators are 5660,4393
Denominators are 878,472
The GCF of 5660,4393 is 1 .
LCM of 878,472 is 207208.
The greatest common factor of 5660/878,4393/472 = [GCF of 5660,4393]/[LCM of 878,472]= 1/207208
Therefore, the GCF of 5660/878,4393/472 is 1/207208.
To find the highest common factor of 5660,4393, we have to find the factors of both numbers and list the highest common factor.
The factors of 5660 are 1, 2, 4, 5, 10, 20, 283, 566, 1132, 1415, 2830, 5660
The factors of 4393 are 1, 23, 191, 4393
The HCF of 5660,4393 is 1.
Lets's calculate GCF of 5660,4393
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5660,4393 By Matching Biggest Common Factor Method
Now, list down the factors of 5660
:1,2,4,5,10,20,283,566,1132,1415,2830,5660
Now, list down the factors of 4393
:1,23,191,4393
Greatest Common Factor
We found the factors 5660,4393 . The biggest common factor number is the GCF number.
So the greatest common factor 5660,4393 is 1.
Lets's calculate LCM of 878,472
| 2 | 878, 472 |
| 439, 236 |
∴ So the LCM of the given numbers is 2 x 439 x 236 = 207208
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207208
Therefore, the GCF of Fractions 5660/878,4393/472 is 1/207208
Least Common Multiple of 878,472 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 878,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,472) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,472) x common factors =2 x 1 = 2
LCM(878,472) = ( 878 × 472 ) / 2
LCM(878,472) = 414416 / 2
LCM(878,472) = 207208
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FAQs on GCF of Fractions of 5660/878, 4393/472
1. What is the HCF of 5660,4393?
The HCF of 5660,4393 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 5660/878, 4393/472?
Answer: GCF of Numerators as per given numbers 5660/878, 4393/472 is
GCF of Numerators i.e. for 5660,4393 is 1
LCM of denominators i.e. for 878,472 is 207208.
Thus, GCF of Fractions is 1/207208.Finally, GCF of Fractions for 5660/878, 4393/472 is 1/207208.