GCF of 7085/596, 5649/406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7085/596, 5649/406 i.e 1/120988 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7085/596, 5649/406.
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 7085/596,5649/406?
Given fractions are 7085/596,5649/406
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 7085/596,5649/406, numerators are 7085,5649
Denominators are 596,406
The GCF of 7085,5649 is 1 .
LCM of 596,406 is 120988.
The greatest common factor of 7085/596,5649/406 = [GCF of 7085,5649]/[LCM of 596,406]= 1/120988
Therefore, the GCF of 7085/596,5649/406 is 1/120988.
To find the highest common factor of 7085,5649, we have to find the factors of both numbers and list the highest common factor.
The factors of 7085 are 1, 5, 13, 65, 109, 545, 1417, 7085
The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649
The HCF of 7085,5649 is 1.
Lets's calculate GCF of 7085,5649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7085,5649 By Matching Biggest Common Factor Method
Now, list down the factors of 7085
:1,5,13,65,109,545,1417,7085
Now, list down the factors of 5649
:1,3,7,21,269,807,1883,5649
Greatest Common Factor
We found the factors 7085,5649 . The biggest common factor number is the GCF number.
So the greatest common factor 7085,5649 is 1.
Lets's calculate LCM of 596,406
| 2 | 596, 406 |
| 298, 203 |
∴ So the LCM of the given numbers is 2 x 298 x 203 = 120988
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/120988
Therefore, the GCF of Fractions 7085/596,5649/406 is 1/120988
Least Common Multiple of 596,406 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 596,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(596,406) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(596,406) x common factors =2 x 1 = 2
LCM(596,406) = ( 596 × 406 ) / 2
LCM(596,406) = 241976 / 2
LCM(596,406) = 120988
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FAQs on GCF of Fractions of 7085/596, 5649/406
1. What is the HCF of 7085,5649?
The HCF of 7085,5649 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 7085/596, 5649/406?
Answer: GCF of Numerators as per given numbers 7085/596, 5649/406 is
GCF of Numerators i.e. for 7085,5649 is 1
LCM of denominators i.e. for 596,406 is 120988.
Thus, GCF of Fractions is 1/120988.Finally, GCF of Fractions for 7085/596, 5649/406 is 1/120988.