GCF of 5588/743, 3678/4873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5588/743, 3678/4873 i.e 2/3620639 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5588/743, 3678/4873.
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 5588/743,3678/4873?
Given fractions are 5588/743,3678/4873
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 5588/743,3678/4873, numerators are 5588,3678
Denominators are 743,4873
The GCF of 5588,3678 is 2 .
LCM of 743,4873 is 3620639.
The greatest common factor of 5588/743,3678/4873 = [GCF of 5588,3678]/[LCM of 743,4873]= 2/3620639
Therefore, the GCF of 5588/743,3678/4873 is 2/3620639.
To find the highest common factor of 5588,3678, we have to find the factors of both numbers and list the highest common factor.
The factors of 5588 are 1, 2, 4, 11, 22, 44, 127, 254, 508, 1397, 2794, 5588
The factors of 3678 are 1, 2, 3, 6, 613, 1226, 1839, 3678
The HCF of 5588,3678 is 2.
Lets's calculate GCF of 5588,3678
| 2 | 5588, 3678 |
| 2794, 1839 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5588,3678 By Matching Biggest Common Factor Method
Now, list down the factors of 5588
:1,2,4,11,22,44,127,254,508,1397,2794,5588
Now, list down the factors of 3678
:1,2,3,6,613,1226,1839,3678
Greatest Common Factor
We found the factors 5588,3678 . The biggest common factor number is the GCF number.
So the greatest common factor 5588,3678 is 2.
Lets's calculate LCM of 743,4873
Given numbers has no common factors except 1. So, there LCM is their product i.e 3620639
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3620639
Therefore, the GCF of Fractions 5588/743,3678/4873 is 2/3620639
Least Common Multiple of 743,4873 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 743,4873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(743,4873) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(743,4873) x common factors =1 x 1 = 1
LCM(743,4873) = ( 743 × 4873 ) / 1
LCM(743,4873) = 3620639 / 1
LCM(743,4873) = 3620639
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FAQs on GCF of Fractions of 5588/743, 3678/4873
1. What is the HCF of 5588,3678?
The HCF of 5588,3678 is 2
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 5588/743, 3678/4873?
Answer: GCF of Numerators as per given numbers 5588/743, 3678/4873 is
GCF of Numerators i.e. for 5588,3678 is 2
LCM of denominators i.e. for 743,4873 is 3620639.
Thus, GCF of Fractions is 2/3620639.Finally, GCF of Fractions for 5588/743, 3678/4873 is 2/3620639.