GCF of 7131/392, 3834/653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7131/392, 3834/653 i.e 3/255976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7131/392, 3834/653.
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 7131/392,3834/653?
Given fractions are 7131/392,3834/653
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 7131/392,3834/653, numerators are 7131,3834
Denominators are 392,653
The GCF of 7131,3834 is 3 .
LCM of 392,653 is 255976.
The greatest common factor of 7131/392,3834/653 = [GCF of 7131,3834]/[LCM of 392,653]= 3/255976
Therefore, the GCF of 7131/392,3834/653 is 3/255976.
To find the highest common factor of 7131,3834, 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 3834 are 1, 2, 3, 6, 9, 18, 27, 54, 71, 142, 213, 426, 639, 1278, 1917, 3834
The HCF of 7131,3834 is 3.
Lets's calculate GCF of 7131,3834
| 3 | 7131, 3834 |
| 2377, 1278 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7131,3834 By Matching Biggest Common Factor Method
Now, list down the factors of 7131
:1,3,2377,7131
Now, list down the factors of 3834
:1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834
Greatest Common Factor
We found the factors 7131,3834 . The biggest common factor number is the GCF number.
So the greatest common factor 7131,3834 is 3.
Lets's calculate LCM of 392,653
Given numbers has no common factors except 1. So, there LCM is their product i.e 255976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/255976
Therefore, the GCF of Fractions 7131/392,3834/653 is 3/255976
Least Common Multiple of 392,653 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 392,653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(392,653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(392,653) x common factors =1 x 1 = 1
LCM(392,653) = ( 392 × 653 ) / 1
LCM(392,653) = 255976 / 1
LCM(392,653) = 255976
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7131/392, 3834/653
1. What is the HCF of 7131,3834?
The HCF of 7131,3834 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 7131/392, 3834/653?
Answer: GCF of Numerators as per given numbers 7131/392, 3834/653 is
GCF of Numerators i.e. for 7131,3834 is 3
LCM of denominators i.e. for 392,653 is 255976.
Thus, GCF of Fractions is 3/255976.Finally, GCF of Fractions for 7131/392, 3834/653 is 3/255976.