GCF of 5900/548, 9140/9156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5900/548, 9140/9156 i.e 20/1254372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5900/548, 9140/9156.
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 5900/548,9140/9156?
Given fractions are 5900/548,9140/9156
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 5900/548,9140/9156, numerators are 5900,9140
Denominators are 548,9156
The GCF of 5900,9140 is 20 .
LCM of 548,9156 is 1254372.
The greatest common factor of 5900/548,9140/9156 = [GCF of 5900,9140]/[LCM of 548,9156]= 20/1254372
Therefore, the GCF of 5900/548,9140/9156 is 20/1254372.
To find the highest common factor of 5900,9140, we have to find the factors of both numbers and list the highest common factor.
The factors of 5900 are 1, 2, 4, 5, 10, 20, 25, 50, 59, 100, 118, 236, 295, 590, 1180, 1475, 2950, 5900
The factors of 9140 are 1, 2, 4, 5, 10, 20, 457, 914, 1828, 2285, 4570, 9140
The HCF of 5900,9140 is 20.
Lets's calculate GCF of 5900,9140
| 2 | 5900, 9140 |
| 2 | 2950, 4570 |
| 5 | 1475, 2285 |
| 295, 457 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 5900,9140 By Matching Biggest Common Factor Method
Now, list down the factors of 5900
:1,2,4,5,10,20,25,50,59,100,118,236,295,590,1180,1475,2950,5900
Now, list down the factors of 9140
:1,2,4,5,10,20,457,914,1828,2285,4570,9140
Greatest Common Factor
We found the factors 5900,9140 . The biggest common factor number is the GCF number.
So the greatest common factor 5900,9140 is 20.
Lets's calculate LCM of 548,9156
| 2 | 548, 9156 |
| 2 | 274, 4578 |
| 137, 2289 |
∴ So the LCM of the given numbers is 2 x 2 x 137 x 2289 = 1254372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/1254372
Therefore, the GCF of Fractions 5900/548,9140/9156 is 20/1254372
Least Common Multiple of 548,9156 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 548,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(548,9156) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(548,9156) x common factors =4 x 1 = 4
LCM(548,9156) = ( 548 × 9156 ) / 4
LCM(548,9156) = 5017488 / 4
LCM(548,9156) = 1254372
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FAQs on GCF of Fractions of 5900/548, 9140/9156
1. What is the HCF of 5900,9140?
The HCF of 5900,9140 is 20
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 5900/548, 9140/9156?
Answer: GCF of Numerators as per given numbers 5900/548, 9140/9156 is
GCF of Numerators i.e. for 5900,9140 is 20
LCM of denominators i.e. for 548,9156 is 1254372.
Thus, GCF of Fractions is 20/1254372.Finally, GCF of Fractions for 5900/548, 9140/9156 is 20/1254372.