GCF of 7322/546, 2225/7342
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7322/546, 2225/7342 i.e 1/2004366 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7322/546, 2225/7342.
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 7322/546,2225/7342?
Given fractions are 7322/546,2225/7342
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 7322/546,2225/7342, numerators are 7322,2225
Denominators are 546,7342
The GCF of 7322,2225 is 1 .
LCM of 546,7342 is 2004366.
The greatest common factor of 7322/546,2225/7342 = [GCF of 7322,2225]/[LCM of 546,7342]= 1/2004366
Therefore, the GCF of 7322/546,2225/7342 is 1/2004366.
To find the highest common factor of 7322,2225, we have to find the factors of both numbers and list the highest common factor.
The factors of 7322 are 1, 2, 7, 14, 523, 1046, 3661, 7322
The factors of 2225 are 1, 5, 25, 89, 445, 2225
The HCF of 7322,2225 is 1.
Lets's calculate GCF of 7322,2225
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7322,2225 By Matching Biggest Common Factor Method
Now, list down the factors of 7322
:1,2,7,14,523,1046,3661,7322
Now, list down the factors of 2225
:1,5,25,89,445,2225
Greatest Common Factor
We found the factors 7322,2225 . The biggest common factor number is the GCF number.
So the greatest common factor 7322,2225 is 1.
Lets's calculate LCM of 546,7342
| 2 | 546, 7342 |
| 273, 3671 |
∴ So the LCM of the given numbers is 2 x 273 x 3671 = 2004366
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2004366
Therefore, the GCF of Fractions 7322/546,2225/7342 is 1/2004366
Least Common Multiple of 546,7342 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 546,7342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,7342) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(546,7342) x common factors =2 x 1 = 2
LCM(546,7342) = ( 546 × 7342 ) / 2
LCM(546,7342) = 4008732 / 2
LCM(546,7342) = 2004366
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FAQs on GCF of Fractions of 7322/546, 2225/7342
1. What is the HCF of 7322,2225?
The HCF of 7322,2225 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 7322/546, 2225/7342?
Answer: GCF of Numerators as per given numbers 7322/546, 2225/7342 is
GCF of Numerators i.e. for 7322,2225 is 1
LCM of denominators i.e. for 546,7342 is 2004366.
Thus, GCF of Fractions is 1/2004366.Finally, GCF of Fractions for 7322/546, 2225/7342 is 1/2004366.