GCF of 5389/228, 9503/3774
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5389/228, 9503/3774 i.e 17/143412 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5389/228, 9503/3774.
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 5389/228,9503/3774?
Given fractions are 5389/228,9503/3774
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 5389/228,9503/3774, numerators are 5389,9503
Denominators are 228,3774
The GCF of 5389,9503 is 17 .
LCM of 228,3774 is 143412.
The greatest common factor of 5389/228,9503/3774 = [GCF of 5389,9503]/[LCM of 228,3774]= 17/143412
Therefore, the GCF of 5389/228,9503/3774 is 17/143412.
To find the highest common factor of 5389,9503, we have to find the factors of both numbers and list the highest common factor.
The factors of 5389 are 1, 17, 317, 5389
The factors of 9503 are 1, 13, 17, 43, 221, 559, 731, 9503
The HCF of 5389,9503 is 17.
Lets's calculate GCF of 5389,9503
| 17 | 5389, 9503 |
| 317, 559 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5389,9503 By Matching Biggest Common Factor Method
Now, list down the factors of 5389
:1,17,317,5389
Now, list down the factors of 9503
:1,13,17,43,221,559,731,9503
Greatest Common Factor
We found the factors 5389,9503 . The biggest common factor number is the GCF number.
So the greatest common factor 5389,9503 is 17.
Lets's calculate LCM of 228,3774
| 2 | 228, 3774 |
| 3 | 114, 1887 |
| 38, 629 |
∴ So the LCM of the given numbers is 2 x 3 x 38 x 629 = 143412
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/143412
Therefore, the GCF of Fractions 5389/228,9503/3774 is 17/143412
Least Common Multiple of 228,3774 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 228,3774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,3774) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(228,3774) x common factors =6 x 1 = 6
LCM(228,3774) = ( 228 × 3774 ) / 6
LCM(228,3774) = 860472 / 6
LCM(228,3774) = 143412
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FAQs on GCF of Fractions of 5389/228, 9503/3774
1. What is the HCF of 5389,9503?
The HCF of 5389,9503 is 17
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 5389/228, 9503/3774?
Answer: GCF of Numerators as per given numbers 5389/228, 9503/3774 is
GCF of Numerators i.e. for 5389,9503 is 17
LCM of denominators i.e. for 228,3774 is 143412.
Thus, GCF of Fractions is 17/143412.Finally, GCF of Fractions for 5389/228, 9503/3774 is 17/143412.