GCF of 340/800, 200/292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 340/800, 200/292 i.e 20/58400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 340/800, 200/292.
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 340/800,200/292?
Given fractions are 340/800,200/292
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 340/800,200/292, numerators are 340,200
Denominators are 800,292
The GCF of 340,200 is 20 .
LCM of 800,292 is 58400.
The greatest common factor of 340/800,200/292 = [GCF of 340,200]/[LCM of 800,292]= 20/58400
Therefore, the GCF of 340/800,200/292 is 20/58400.
To find the highest common factor of 340,200, we have to find the factors of both numbers and list the highest common factor.
The factors of 340 are 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
The factors of 200 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
The HCF of 340,200 is 20.
Lets's calculate GCF of 340,200
| 2 | 340, 200 |
| 2 | 170, 100 |
| 5 | 85, 50 |
| 17, 10 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 340,200 By Matching Biggest Common Factor Method
Now, list down the factors of 340
:1,2,4,5,10,17,20,34,68,85,170,340
Now, list down the factors of 200
:1,2,4,5,8,10,20,25,40,50,100,200
Greatest Common Factor
We found the factors 340,200 . The biggest common factor number is the GCF number.
So the greatest common factor 340,200 is 20.
Lets's calculate LCM of 800,292
| 2 | 800, 292 |
| 2 | 400, 146 |
| 200, 73 |
∴ So the LCM of the given numbers is 2 x 2 x 200 x 73 = 58400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/58400
Therefore, the GCF of Fractions 340/800,200/292 is 20/58400
Least Common Multiple of 800,292 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 800,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(800,292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(800,292) x common factors =4 x 1 = 4
LCM(800,292) = ( 800 × 292 ) / 4
LCM(800,292) = 233600 / 4
LCM(800,292) = 58400
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FAQs on GCF of Fractions of 340/800, 200/292
1. What is the HCF of 340,200?
The HCF of 340,200 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 340/800, 200/292?
Answer: GCF of Numerators as per given numbers 340/800, 200/292 is
GCF of Numerators i.e. for 340,200 is 20
LCM of denominators i.e. for 800,292 is 58400.
Thus, GCF of Fractions is 20/58400.Finally, GCF of Fractions for 340/800, 200/292 is 20/58400.