GCF of 2135/343, 2300/9395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2135/343, 2300/9395 i.e 5/3222485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2135/343, 2300/9395.
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 2135/343,2300/9395?
Given fractions are 2135/343,2300/9395
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 2135/343,2300/9395, numerators are 2135,2300
Denominators are 343,9395
The GCF of 2135,2300 is 5 .
LCM of 343,9395 is 3222485.
The greatest common factor of 2135/343,2300/9395 = [GCF of 2135,2300]/[LCM of 343,9395]= 5/3222485
Therefore, the GCF of 2135/343,2300/9395 is 5/3222485.
To find the highest common factor of 2135,2300, we have to find the factors of both numbers and list the highest common factor.
The factors of 2135 are 1, 5, 7, 35, 61, 305, 427, 2135
The factors of 2300 are 1, 2, 4, 5, 10, 20, 23, 25, 46, 50, 92, 100, 115, 230, 460, 575, 1150, 2300
The HCF of 2135,2300 is 5.
Lets's calculate GCF of 2135,2300
| 5 | 2135, 2300 |
| 427, 460 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2135,2300 By Matching Biggest Common Factor Method
Now, list down the factors of 2135
:1,5,7,35,61,305,427,2135
Now, list down the factors of 2300
:1,2,4,5,10,20,23,25,46,50,92,100,115,230,460,575,1150,2300
Greatest Common Factor
We found the factors 2135,2300 . The biggest common factor number is the GCF number.
So the greatest common factor 2135,2300 is 5.
Lets's calculate LCM of 343,9395
Given numbers has no common factors except 1. So, there LCM is their product i.e 3222485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/3222485
Therefore, the GCF of Fractions 2135/343,2300/9395 is 5/3222485
Least Common Multiple of 343,9395 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 343,9395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,9395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,9395) x common factors =1 x 1 = 1
LCM(343,9395) = ( 343 × 9395 ) / 1
LCM(343,9395) = 3222485 / 1
LCM(343,9395) = 3222485
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FAQs on GCF of Fractions of 2135/343, 2300/9395
1. What is the HCF of 2135,2300?
The HCF of 2135,2300 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 2135/343, 2300/9395?
Answer: GCF of Numerators as per given numbers 2135/343, 2300/9395 is
GCF of Numerators i.e. for 2135,2300 is 5
LCM of denominators i.e. for 343,9395 is 3222485.
Thus, GCF of Fractions is 5/3222485.Finally, GCF of Fractions for 2135/343, 2300/9395 is 5/3222485.