GCF of 7212/417, 5821/6123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7212/417, 5821/6123 i.e 1/851097 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7212/417, 5821/6123.
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 7212/417,5821/6123?
Given fractions are 7212/417,5821/6123
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 7212/417,5821/6123, numerators are 7212,5821
Denominators are 417,6123
The GCF of 7212,5821 is 1 .
LCM of 417,6123 is 851097.
The greatest common factor of 7212/417,5821/6123 = [GCF of 7212,5821]/[LCM of 417,6123]= 1/851097
Therefore, the GCF of 7212/417,5821/6123 is 1/851097.
To find the highest common factor of 7212,5821, we have to find the factors of both numbers and list the highest common factor.
The factors of 7212 are 1, 2, 3, 4, 6, 12, 601, 1202, 1803, 2404, 3606, 7212
The factors of 5821 are 1, 5821
The HCF of 7212,5821 is 1.
Lets's calculate GCF of 7212,5821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7212,5821 By Matching Biggest Common Factor Method
Now, list down the factors of 7212
:1,2,3,4,6,12,601,1202,1803,2404,3606,7212
Now, list down the factors of 5821
:1,5821
Greatest Common Factor
We found the factors 7212,5821 . The biggest common factor number is the GCF number.
So the greatest common factor 7212,5821 is 1.
Lets's calculate LCM of 417,6123
| 3 | 417, 6123 |
| 139, 2041 |
∴ So the LCM of the given numbers is 3 x 139 x 2041 = 851097
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/851097
Therefore, the GCF of Fractions 7212/417,5821/6123 is 1/851097
Least Common Multiple of 417,6123 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 417,6123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,6123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(417,6123) x common factors =3 x 1 = 3
LCM(417,6123) = ( 417 × 6123 ) / 3
LCM(417,6123) = 2553291 / 3
LCM(417,6123) = 851097
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FAQs on GCF of Fractions of 7212/417, 5821/6123
1. What is the HCF of 7212,5821?
The HCF of 7212,5821 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 7212/417, 5821/6123?
Answer: GCF of Numerators as per given numbers 7212/417, 5821/6123 is
GCF of Numerators i.e. for 7212,5821 is 1
LCM of denominators i.e. for 417,6123 is 851097.
Thus, GCF of Fractions is 1/851097.Finally, GCF of Fractions for 7212/417, 5821/6123 is 1/851097.