GCF of 5840/130, 5200/8733
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5840/130, 5200/8733 i.e 80/1135290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5840/130, 5200/8733.
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 5840/130,5200/8733?
Given fractions are 5840/130,5200/8733
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 5840/130,5200/8733, numerators are 5840,5200
Denominators are 130,8733
The GCF of 5840,5200 is 80 .
LCM of 130,8733 is 1135290.
The greatest common factor of 5840/130,5200/8733 = [GCF of 5840,5200]/[LCM of 130,8733]= 80/1135290
Therefore, the GCF of 5840/130,5200/8733 is 80/1135290.
To find the highest common factor of 5840,5200, we have to find the factors of both numbers and list the highest common factor.
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The factors of 5200 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 25, 26, 40, 50, 52, 65, 80, 100, 104, 130, 200, 208, 260, 325, 400, 520, 650, 1040, 1300, 2600, 5200
The HCF of 5840,5200 is 80.
Lets's calculate GCF of 5840,5200
| 2 | 5840, 5200 |
| 2 | 2920, 2600 |
| 2 | 1460, 1300 |
| 2 | 730, 650 |
| 5 | 365, 325 |
| 73, 65 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 = 80
Greatest Common Factor of 5840,5200 By Matching Biggest Common Factor Method
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Now, list down the factors of 5200
:1,2,4,5,8,10,13,16,20,25,26,40,50,52,65,80,100,104,130,200,208,260,325,400,520,650,1040,1300,2600,5200
Greatest Common Factor
We found the factors 5840,5200 . The biggest common factor number is the GCF number.
So the greatest common factor 5840,5200 is 80.
Lets's calculate LCM of 130,8733
Given numbers has no common factors except 1. So, there LCM is their product i.e 1135290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 80/1135290
Therefore, the GCF of Fractions 5840/130,5200/8733 is 80/1135290
Least Common Multiple of 130,8733 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 130,8733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,8733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(130,8733) x common factors =1 x 1 = 1
LCM(130,8733) = ( 130 × 8733 ) / 1
LCM(130,8733) = 1135290 / 1
LCM(130,8733) = 1135290
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FAQs on GCF of Fractions of 5840/130, 5200/8733
1. What is the HCF of 5840,5200?
The HCF of 5840,5200 is 80
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 5840/130, 5200/8733?
Answer: GCF of Numerators as per given numbers 5840/130, 5200/8733 is
GCF of Numerators i.e. for 5840,5200 is 80
LCM of denominators i.e. for 130,8733 is 1135290.
Thus, GCF of Fractions is 80/1135290.Finally, GCF of Fractions for 5840/130, 5200/8733 is 80/1135290.