GCF of 2645/200, 9750/1718
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2645/200, 9750/1718 i.e 5/171800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2645/200, 9750/1718.
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 2645/200,9750/1718?
Given fractions are 2645/200,9750/1718
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 2645/200,9750/1718, numerators are 2645,9750
Denominators are 200,1718
The GCF of 2645,9750 is 5 .
LCM of 200,1718 is 171800.
The greatest common factor of 2645/200,9750/1718 = [GCF of 2645,9750]/[LCM of 200,1718]= 5/171800
Therefore, the GCF of 2645/200,9750/1718 is 5/171800.
To find the highest common factor of 2645,9750, we have to find the factors of both numbers and list the highest common factor.
The factors of 2645 are 1, 5, 23, 115, 529, 2645
The factors of 9750 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 125, 130, 150, 195, 250, 325, 375, 390, 650, 750, 975, 1625, 1950, 3250, 4875, 9750
The HCF of 2645,9750 is 5.
Lets's calculate GCF of 2645,9750
| 5 | 2645, 9750 |
| 529, 1950 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 2645,9750 By Matching Biggest Common Factor Method
Now, list down the factors of 2645
:1,5,23,115,529,2645
Now, list down the factors of 9750
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,125,130,150,195,250,325,375,390,650,750,975,1625,1950,3250,4875,9750
Greatest Common Factor
We found the factors 2645,9750 . The biggest common factor number is the GCF number.
So the greatest common factor 2645,9750 is 5.
Lets's calculate LCM of 200,1718
| 2 | 200, 1718 |
| 100, 859 |
∴ So the LCM of the given numbers is 2 x 100 x 859 = 171800
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/171800
Therefore, the GCF of Fractions 2645/200,9750/1718 is 5/171800
Least Common Multiple of 200,1718 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 200,1718 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,1718) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(200,1718) x common factors =2 x 1 = 2
LCM(200,1718) = ( 200 × 1718 ) / 2
LCM(200,1718) = 343600 / 2
LCM(200,1718) = 171800
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FAQs on GCF of Fractions of 2645/200, 9750/1718
1. What is the HCF of 2645,9750?
The HCF of 2645,9750 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 2645/200, 9750/1718?
Answer: GCF of Numerators as per given numbers 2645/200, 9750/1718 is
GCF of Numerators i.e. for 2645,9750 is 5
LCM of denominators i.e. for 200,1718 is 171800.
Thus, GCF of Fractions is 5/171800.Finally, GCF of Fractions for 2645/200, 9750/1718 is 5/171800.