GCF of 7082/406, 7652/7158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7082/406, 7652/7158 i.e 2/1453074 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7082/406, 7652/7158.
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 7082/406,7652/7158?
Given fractions are 7082/406,7652/7158
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 7082/406,7652/7158, numerators are 7082,7652
Denominators are 406,7158
The GCF of 7082,7652 is 2 .
LCM of 406,7158 is 1453074.
The greatest common factor of 7082/406,7652/7158 = [GCF of 7082,7652]/[LCM of 406,7158]= 2/1453074
Therefore, the GCF of 7082/406,7652/7158 is 2/1453074.
To find the highest common factor of 7082,7652, we have to find the factors of both numbers and list the highest common factor.
The factors of 7082 are 1, 2, 3541, 7082
The factors of 7652 are 1, 2, 4, 1913, 3826, 7652
The HCF of 7082,7652 is 2.
Lets's calculate GCF of 7082,7652
| 2 | 7082, 7652 |
| 3541, 3826 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7082,7652 By Matching Biggest Common Factor Method
Now, list down the factors of 7082
:1,2,3541,7082
Now, list down the factors of 7652
:1,2,4,1913,3826,7652
Greatest Common Factor
We found the factors 7082,7652 . The biggest common factor number is the GCF number.
So the greatest common factor 7082,7652 is 2.
Lets's calculate LCM of 406,7158
| 2 | 406, 7158 |
| 203, 3579 |
∴ So the LCM of the given numbers is 2 x 203 x 3579 = 1453074
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1453074
Therefore, the GCF of Fractions 7082/406,7652/7158 is 2/1453074
Least Common Multiple of 406,7158 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 406,7158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(406,7158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(406,7158) x common factors =2 x 1 = 2
LCM(406,7158) = ( 406 × 7158 ) / 2
LCM(406,7158) = 2906148 / 2
LCM(406,7158) = 1453074
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FAQs on GCF of Fractions of 7082/406, 7652/7158
1. What is the HCF of 7082,7652?
The HCF of 7082,7652 is 2
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 7082/406, 7652/7158?
Answer: GCF of Numerators as per given numbers 7082/406, 7652/7158 is
GCF of Numerators i.e. for 7082,7652 is 2
LCM of denominators i.e. for 406,7158 is 1453074.
Thus, GCF of Fractions is 2/1453074.Finally, GCF of Fractions for 7082/406, 7652/7158 is 2/1453074.