GCF of 1755/474, 1817/2000
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1755/474, 1817/2000 i.e 1/474000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1755/474, 1817/2000.
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 1755/474,1817/2000?
Given fractions are 1755/474,1817/2000
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 1755/474,1817/2000, numerators are 1755,1817
Denominators are 474,2000
The GCF of 1755,1817 is 1 .
LCM of 474,2000 is 474000.
The greatest common factor of 1755/474,1817/2000 = [GCF of 1755,1817]/[LCM of 474,2000]= 1/474000
Therefore, the GCF of 1755/474,1817/2000 is 1/474000.
To find the highest common factor of 1755,1817, we have to find the factors of both numbers and list the highest common factor.
The factors of 1755 are 1, 3, 5, 9, 13, 15, 27, 39, 45, 65, 117, 135, 195, 351, 585, 1755
The factors of 1817 are 1, 23, 79, 1817
The HCF of 1755,1817 is 1.
Lets's calculate GCF of 1755,1817
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1755,1817 By Matching Biggest Common Factor Method
Now, list down the factors of 1755
:1,3,5,9,13,15,27,39,45,65,117,135,195,351,585,1755
Now, list down the factors of 1817
:1,23,79,1817
Greatest Common Factor
We found the factors 1755,1817 . The biggest common factor number is the GCF number.
So the greatest common factor 1755,1817 is 1.
Lets's calculate LCM of 474,2000
| 2 | 474, 2000 |
| 237, 1000 |
∴ So the LCM of the given numbers is 2 x 237 x 1000 = 474000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/474000
Therefore, the GCF of Fractions 1755/474,1817/2000 is 1/474000
Least Common Multiple of 474,2000 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 474,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,2000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(474,2000) x common factors =2 x 1 = 2
LCM(474,2000) = ( 474 × 2000 ) / 2
LCM(474,2000) = 948000 / 2
LCM(474,2000) = 474000
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FAQs on GCF of Fractions of 1755/474, 1817/2000
1. What is the HCF of 1755,1817?
The HCF of 1755,1817 is 1
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 1755/474, 1817/2000?
Answer: GCF of Numerators as per given numbers 1755/474, 1817/2000 is
GCF of Numerators i.e. for 1755,1817 is 1
LCM of denominators i.e. for 474,2000 is 474000.
Thus, GCF of Fractions is 1/474000.Finally, GCF of Fractions for 1755/474, 1817/2000 is 1/474000.