GCF of 6512/405, 7067/1958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6512/405, 7067/1958 i.e 37/792990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6512/405, 7067/1958.
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 6512/405,7067/1958?
Given fractions are 6512/405,7067/1958
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 6512/405,7067/1958, numerators are 6512,7067
Denominators are 405,1958
The GCF of 6512,7067 is 37 .
LCM of 405,1958 is 792990.
The greatest common factor of 6512/405,7067/1958 = [GCF of 6512,7067]/[LCM of 405,1958]= 37/792990
Therefore, the GCF of 6512/405,7067/1958 is 37/792990.
To find the highest common factor of 6512,7067, we have to find the factors of both numbers and list the highest common factor.
The factors of 6512 are 1, 2, 4, 8, 11, 16, 22, 37, 44, 74, 88, 148, 176, 296, 407, 592, 814, 1628, 3256, 6512
The factors of 7067 are 1, 37, 191, 7067
The HCF of 6512,7067 is 37.
Lets's calculate GCF of 6512,7067
| 37 | 6512, 7067 |
| 176, 191 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 6512,7067 By Matching Biggest Common Factor Method
Now, list down the factors of 6512
:1,2,4,8,11,16,22,37,44,74,88,148,176,296,407,592,814,1628,3256,6512
Now, list down the factors of 7067
:1,37,191,7067
Greatest Common Factor
We found the factors 6512,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 6512,7067 is 37.
Lets's calculate LCM of 405,1958
Given numbers has no common factors except 1. So, there LCM is their product i.e 792990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/792990
Therefore, the GCF of Fractions 6512/405,7067/1958 is 37/792990
Least Common Multiple of 405,1958 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 405,1958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(405,1958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(405,1958) x common factors =1 x 1 = 1
LCM(405,1958) = ( 405 × 1958 ) / 1
LCM(405,1958) = 792990 / 1
LCM(405,1958) = 792990
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FAQs on GCF of Fractions of 6512/405, 7067/1958
1. What is the HCF of 6512,7067?
The HCF of 6512,7067 is 37
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 6512/405, 7067/1958?
Answer: GCF of Numerators as per given numbers 6512/405, 7067/1958 is
GCF of Numerators i.e. for 6512,7067 is 37
LCM of denominators i.e. for 405,1958 is 792990.
Thus, GCF of Fractions is 37/792990.Finally, GCF of Fractions for 6512/405, 7067/1958 is 37/792990.