GCF of 7131/106, 1830/779
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7131/106, 1830/779 i.e 3/82574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7131/106, 1830/779.
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 7131/106,1830/779?
Given fractions are 7131/106,1830/779
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 7131/106,1830/779, numerators are 7131,1830
Denominators are 106,779
The GCF of 7131,1830 is 3 .
LCM of 106,779 is 82574.
The greatest common factor of 7131/106,1830/779 = [GCF of 7131,1830]/[LCM of 106,779]= 3/82574
Therefore, the GCF of 7131/106,1830/779 is 3/82574.
To find the highest common factor of 7131,1830, we have to find the factors of both numbers and list the highest common factor.
The factors of 7131 are 1, 3, 2377, 7131
The factors of 1830 are 1, 2, 3, 5, 6, 10, 15, 30, 61, 122, 183, 305, 366, 610, 915, 1830
The HCF of 7131,1830 is 3.
Lets's calculate GCF of 7131,1830
| 3 | 7131, 1830 |
| 2377, 610 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7131,1830 By Matching Biggest Common Factor Method
Now, list down the factors of 7131
:1,3,2377,7131
Now, list down the factors of 1830
:1,2,3,5,6,10,15,30,61,122,183,305,366,610,915,1830
Greatest Common Factor
We found the factors 7131,1830 . The biggest common factor number is the GCF number.
So the greatest common factor 7131,1830 is 3.
Lets's calculate LCM of 106,779
Given numbers has no common factors except 1. So, there LCM is their product i.e 82574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82574
Therefore, the GCF of Fractions 7131/106,1830/779 is 3/82574
Least Common Multiple of 106,779 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 106,779 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,779) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,779) x common factors =1 x 1 = 1
LCM(106,779) = ( 106 × 779 ) / 1
LCM(106,779) = 82574 / 1
LCM(106,779) = 82574
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FAQs on GCF of Fractions of 7131/106, 1830/779
1. What is the HCF of 7131,1830?
The HCF of 7131,1830 is 3
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 7131/106, 1830/779?
Answer: GCF of Numerators as per given numbers 7131/106, 1830/779 is
GCF of Numerators i.e. for 7131,1830 is 3
LCM of denominators i.e. for 106,779 is 82574.
Thus, GCF of Fractions is 3/82574.Finally, GCF of Fractions for 7131/106, 1830/779 is 3/82574.