GCF of 1746/612, 9683/6650
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1746/612, 9683/6650 i.e 1/2034900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1746/612, 9683/6650.
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 1746/612,9683/6650?
Given fractions are 1746/612,9683/6650
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 1746/612,9683/6650, numerators are 1746,9683
Denominators are 612,6650
The GCF of 1746,9683 is 1 .
LCM of 612,6650 is 2034900.
The greatest common factor of 1746/612,9683/6650 = [GCF of 1746,9683]/[LCM of 612,6650]= 1/2034900
Therefore, the GCF of 1746/612,9683/6650 is 1/2034900.
To find the highest common factor of 1746,9683, we have to find the factors of both numbers and list the highest common factor.
The factors of 1746 are 1, 2, 3, 6, 9, 18, 97, 194, 291, 582, 873, 1746
The factors of 9683 are 1, 23, 421, 9683
The HCF of 1746,9683 is 1.
Lets's calculate GCF of 1746,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1746,9683 By Matching Biggest Common Factor Method
Now, list down the factors of 1746
:1,2,3,6,9,18,97,194,291,582,873,1746
Now, list down the factors of 9683
:1,23,421,9683
Greatest Common Factor
We found the factors 1746,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 1746,9683 is 1.
Lets's calculate LCM of 612,6650
| 2 | 612, 6650 |
| 306, 3325 |
∴ So the LCM of the given numbers is 2 x 306 x 3325 = 2034900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2034900
Therefore, the GCF of Fractions 1746/612,9683/6650 is 1/2034900
Least Common Multiple of 612,6650 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 612,6650 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,6650) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(612,6650) x common factors =2 x 1 = 2
LCM(612,6650) = ( 612 × 6650 ) / 2
LCM(612,6650) = 4069800 / 2
LCM(612,6650) = 2034900
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FAQs on GCF of Fractions of 1746/612, 9683/6650
1. What is the HCF of 1746,9683?
The HCF of 1746,9683 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 1746/612, 9683/6650?
Answer: GCF of Numerators as per given numbers 1746/612, 9683/6650 is
GCF of Numerators i.e. for 1746,9683 is 1
LCM of denominators i.e. for 612,6650 is 2034900.
Thus, GCF of Fractions is 1/2034900.Finally, GCF of Fractions for 1746/612, 9683/6650 is 1/2034900.