GCF of 1383/514, 2059/9870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1383/514, 2059/9870 i.e 1/2536590 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1383/514, 2059/9870.
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 1383/514,2059/9870?
Given fractions are 1383/514,2059/9870
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 1383/514,2059/9870, numerators are 1383,2059
Denominators are 514,9870
The GCF of 1383,2059 is 1 .
LCM of 514,9870 is 2536590.
The greatest common factor of 1383/514,2059/9870 = [GCF of 1383,2059]/[LCM of 514,9870]= 1/2536590
Therefore, the GCF of 1383/514,2059/9870 is 1/2536590.
To find the highest common factor of 1383,2059, we have to find the factors of both numbers and list the highest common factor.
The factors of 1383 are 1, 3, 461, 1383
The factors of 2059 are 1, 29, 71, 2059
The HCF of 1383,2059 is 1.
Lets's calculate GCF of 1383,2059
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1383,2059 By Matching Biggest Common Factor Method
Now, list down the factors of 1383
:1,3,461,1383
Now, list down the factors of 2059
:1,29,71,2059
Greatest Common Factor
We found the factors 1383,2059 . The biggest common factor number is the GCF number.
So the greatest common factor 1383,2059 is 1.
Lets's calculate LCM of 514,9870
| 2 | 514, 9870 |
| 257, 4935 |
∴ So the LCM of the given numbers is 2 x 257 x 4935 = 2536590
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2536590
Therefore, the GCF of Fractions 1383/514,2059/9870 is 1/2536590
Least Common Multiple of 514,9870 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 514,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(514,9870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(514,9870) x common factors =2 x 1 = 2
LCM(514,9870) = ( 514 × 9870 ) / 2
LCM(514,9870) = 5073180 / 2
LCM(514,9870) = 2536590
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1383/514, 2059/9870
1. What is the HCF of 1383,2059?
The HCF of 1383,2059 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 1383/514, 2059/9870?
Answer: GCF of Numerators as per given numbers 1383/514, 2059/9870 is
GCF of Numerators i.e. for 1383,2059 is 1
LCM of denominators i.e. for 514,9870 is 2536590.
Thus, GCF of Fractions is 1/2536590.Finally, GCF of Fractions for 1383/514, 2059/9870 is 1/2536590.