GCF of 2531/819, 7204/3222
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2531/819, 7204/3222 i.e 1/293202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2531/819, 7204/3222.
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 2531/819,7204/3222?
Given fractions are 2531/819,7204/3222
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 2531/819,7204/3222, numerators are 2531,7204
Denominators are 819,3222
The GCF of 2531,7204 is 1 .
LCM of 819,3222 is 293202.
The greatest common factor of 2531/819,7204/3222 = [GCF of 2531,7204]/[LCM of 819,3222]= 1/293202
Therefore, the GCF of 2531/819,7204/3222 is 1/293202.
To find the highest common factor of 2531,7204, we have to find the factors of both numbers and list the highest common factor.
The factors of 2531 are 1, 2531
The factors of 7204 are 1, 2, 4, 1801, 3602, 7204
The HCF of 2531,7204 is 1.
Lets's calculate GCF of 2531,7204
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2531,7204 By Matching Biggest Common Factor Method
Now, list down the factors of 2531
:1,2531
Now, list down the factors of 7204
:1,2,4,1801,3602,7204
Greatest Common Factor
We found the factors 2531,7204 . The biggest common factor number is the GCF number.
So the greatest common factor 2531,7204 is 1.
Lets's calculate LCM of 819,3222
| 3 | 819, 3222 |
| 3 | 273, 1074 |
| 91, 358 |
∴ So the LCM of the given numbers is 3 x 3 x 91 x 358 = 293202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293202
Therefore, the GCF of Fractions 2531/819,7204/3222 is 1/293202
Least Common Multiple of 819,3222 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 819,3222 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,3222) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(819,3222) x common factors =9 x 1 = 9
LCM(819,3222) = ( 819 × 3222 ) / 9
LCM(819,3222) = 2638818 / 9
LCM(819,3222) = 293202
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FAQs on GCF of Fractions of 2531/819, 7204/3222
1. What is the HCF of 2531,7204?
The HCF of 2531,7204 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 2531/819, 7204/3222?
Answer: GCF of Numerators as per given numbers 2531/819, 7204/3222 is
GCF of Numerators i.e. for 2531,7204 is 1
LCM of denominators i.e. for 819,3222 is 293202.
Thus, GCF of Fractions is 1/293202.Finally, GCF of Fractions for 2531/819, 7204/3222 is 1/293202.