GCF of 1813/690, 2805/1875
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1813/690, 2805/1875 i.e 1/86250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1813/690, 2805/1875.
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 1813/690,2805/1875?
Given fractions are 1813/690,2805/1875
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 1813/690,2805/1875, numerators are 1813,2805
Denominators are 690,1875
The GCF of 1813,2805 is 1 .
LCM of 690,1875 is 86250.
The greatest common factor of 1813/690,2805/1875 = [GCF of 1813,2805]/[LCM of 690,1875]= 1/86250
Therefore, the GCF of 1813/690,2805/1875 is 1/86250.
To find the highest common factor of 1813,2805, we have to find the factors of both numbers and list the highest common factor.
The factors of 1813 are 1, 7, 37, 49, 259, 1813
The factors of 2805 are 1, 3, 5, 11, 15, 17, 33, 51, 55, 85, 165, 187, 255, 561, 935, 2805
The HCF of 1813,2805 is 1.
Lets's calculate GCF of 1813,2805
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1813,2805 By Matching Biggest Common Factor Method
Now, list down the factors of 1813
:1,7,37,49,259,1813
Now, list down the factors of 2805
:1,3,5,11,15,17,33,51,55,85,165,187,255,561,935,2805
Greatest Common Factor
We found the factors 1813,2805 . The biggest common factor number is the GCF number.
So the greatest common factor 1813,2805 is 1.
Lets's calculate LCM of 690,1875
| 3 | 690, 1875 |
| 5 | 230, 625 |
| 46, 125 |
∴ So the LCM of the given numbers is 3 x 5 x 46 x 125 = 86250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/86250
Therefore, the GCF of Fractions 1813/690,2805/1875 is 1/86250
Least Common Multiple of 690,1875 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 690,1875 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(690,1875) = 15
common factors(in case of two or more numbers have common factors) = 1
GCF(690,1875) x common factors =15 x 1 = 15
LCM(690,1875) = ( 690 × 1875 ) / 15
LCM(690,1875) = 1293750 / 15
LCM(690,1875) = 86250
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FAQs on GCF of Fractions of 1813/690, 2805/1875
1. What is the HCF of 1813,2805?
The HCF of 1813,2805 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 1813/690, 2805/1875?
Answer: GCF of Numerators as per given numbers 1813/690, 2805/1875 is
GCF of Numerators i.e. for 1813,2805 is 1
LCM of denominators i.e. for 690,1875 is 86250.
Thus, GCF of Fractions is 1/86250.Finally, GCF of Fractions for 1813/690, 2805/1875 is 1/86250.