GCF of 983/75, 409/5148
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 983/75, 409/5148 i.e 1/128700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 983/75, 409/5148.
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 983/75,409/5148?
Given fractions are 983/75,409/5148
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 983/75,409/5148, numerators are 983,409
Denominators are 75,5148
The GCF of 983,409 is 1 .
LCM of 75,5148 is 128700.
The greatest common factor of 983/75,409/5148 = [GCF of 983,409]/[LCM of 75,5148]= 1/128700
Therefore, the GCF of 983/75,409/5148 is 1/128700.
To find the highest common factor of 983,409, we have to find the factors of both numbers and list the highest common factor.
The factors of 983 are 1, 983
The factors of 409 are 1, 409
The HCF of 983,409 is 1.
Lets's calculate GCF of 983,409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 983,409 By Matching Biggest Common Factor Method
Now, list down the factors of 983
:1,983
Now, list down the factors of 409
:1,409
Greatest Common Factor
We found the factors 983,409 . The biggest common factor number is the GCF number.
So the greatest common factor 983,409 is 1.
Lets's calculate LCM of 75,5148
| 3 | 75, 5148 |
| 25, 1716 |
∴ So the LCM of the given numbers is 3 x 25 x 1716 = 128700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128700
Therefore, the GCF of Fractions 983/75,409/5148 is 1/128700
Least Common Multiple of 75,5148 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 75,5148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,5148) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(75,5148) x common factors =3 x 1 = 3
LCM(75,5148) = ( 75 × 5148 ) / 3
LCM(75,5148) = 386100 / 3
LCM(75,5148) = 128700
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FAQs on GCF of Fractions of 983/75, 409/5148
1. What is the HCF of 983,409?
The HCF of 983,409 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 983/75, 409/5148?
Answer: GCF of Numerators as per given numbers 983/75, 409/5148 is
GCF of Numerators i.e. for 983,409 is 1
LCM of denominators i.e. for 75,5148 is 128700.
Thus, GCF of Fractions is 1/128700.Finally, GCF of Fractions for 983/75, 409/5148 is 1/128700.