GCF of 5900/742, 2905/145
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5900/742, 2905/145 i.e 5/107590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5900/742, 2905/145.
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 5900/742,2905/145?
Given fractions are 5900/742,2905/145
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 5900/742,2905/145, numerators are 5900,2905
Denominators are 742,145
The GCF of 5900,2905 is 5 .
LCM of 742,145 is 107590.
The greatest common factor of 5900/742,2905/145 = [GCF of 5900,2905]/[LCM of 742,145]= 5/107590
Therefore, the GCF of 5900/742,2905/145 is 5/107590.
To find the highest common factor of 5900,2905, 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 2905 are 1, 5, 7, 35, 83, 415, 581, 2905
The HCF of 5900,2905 is 5.
Lets's calculate GCF of 5900,2905
| 5 | 5900, 2905 |
| 1180, 581 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5900,2905 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 2905
:1,5,7,35,83,415,581,2905
Greatest Common Factor
We found the factors 5900,2905 . The biggest common factor number is the GCF number.
So the greatest common factor 5900,2905 is 5.
Lets's calculate LCM of 742,145
Given numbers has no common factors except 1. So, there LCM is their product i.e 107590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/107590
Therefore, the GCF of Fractions 5900/742,2905/145 is 5/107590
Least Common Multiple of 742,145 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 742,145 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(742,145) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(742,145) x common factors =1 x 1 = 1
LCM(742,145) = ( 742 × 145 ) / 1
LCM(742,145) = 107590 / 1
LCM(742,145) = 107590
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FAQs on GCF of Fractions of 5900/742, 2905/145
1. What is the HCF of 5900,2905?
The HCF of 5900,2905 is 5
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 5900/742, 2905/145?
Answer: GCF of Numerators as per given numbers 5900/742, 2905/145 is
GCF of Numerators i.e. for 5900,2905 is 5
LCM of denominators i.e. for 742,145 is 107590.
Thus, GCF of Fractions is 5/107590.Finally, GCF of Fractions for 5900/742, 2905/145 is 5/107590.