GCF of 4387/577, 5449/2374
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4387/577, 5449/2374 i.e 1/1369798 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4387/577, 5449/2374.
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 4387/577,5449/2374?
Given fractions are 4387/577,5449/2374
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 4387/577,5449/2374, numerators are 4387,5449
Denominators are 577,2374
The GCF of 4387,5449 is 1 .
LCM of 577,2374 is 1369798.
The greatest common factor of 4387/577,5449/2374 = [GCF of 4387,5449]/[LCM of 577,2374]= 1/1369798
Therefore, the GCF of 4387/577,5449/2374 is 1/1369798.
To find the highest common factor of 4387,5449, we have to find the factors of both numbers and list the highest common factor.
The factors of 4387 are 1, 41, 107, 4387
The factors of 5449 are 1, 5449
The HCF of 4387,5449 is 1.
Lets's calculate GCF of 4387,5449
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4387,5449 By Matching Biggest Common Factor Method
Now, list down the factors of 4387
:1,41,107,4387
Now, list down the factors of 5449
:1,5449
Greatest Common Factor
We found the factors 4387,5449 . The biggest common factor number is the GCF number.
So the greatest common factor 4387,5449 is 1.
Lets's calculate LCM of 577,2374
Given numbers has no common factors except 1. So, there LCM is their product i.e 1369798
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1369798
Therefore, the GCF of Fractions 4387/577,5449/2374 is 1/1369798
Least Common Multiple of 577,2374 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 577,2374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,2374) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,2374) x common factors =1 x 1 = 1
LCM(577,2374) = ( 577 × 2374 ) / 1
LCM(577,2374) = 1369798 / 1
LCM(577,2374) = 1369798
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FAQs on GCF of Fractions of 4387/577, 5449/2374
1. What is the HCF of 4387,5449?
The HCF of 4387,5449 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 4387/577, 5449/2374?
Answer: GCF of Numerators as per given numbers 4387/577, 5449/2374 is
GCF of Numerators i.e. for 4387,5449 is 1
LCM of denominators i.e. for 577,2374 is 1369798.
Thus, GCF of Fractions is 1/1369798.Finally, GCF of Fractions for 4387/577, 5449/2374 is 1/1369798.