GCF of 6451/161, 7512/2072
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6451/161, 7512/2072 i.e 1/47656 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6451/161, 7512/2072.
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 6451/161,7512/2072?
Given fractions are 6451/161,7512/2072
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 6451/161,7512/2072, numerators are 6451,7512
Denominators are 161,2072
The GCF of 6451,7512 is 1 .
LCM of 161,2072 is 47656.
The greatest common factor of 6451/161,7512/2072 = [GCF of 6451,7512]/[LCM of 161,2072]= 1/47656
Therefore, the GCF of 6451/161,7512/2072 is 1/47656.
To find the highest common factor of 6451,7512, we have to find the factors of both numbers and list the highest common factor.
The factors of 6451 are 1, 6451
The factors of 7512 are 1, 2, 3, 4, 6, 8, 12, 24, 313, 626, 939, 1252, 1878, 2504, 3756, 7512
The HCF of 6451,7512 is 1.
Lets's calculate GCF of 6451,7512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6451,7512 By Matching Biggest Common Factor Method
Now, list down the factors of 6451
:1,6451
Now, list down the factors of 7512
:1,2,3,4,6,8,12,24,313,626,939,1252,1878,2504,3756,7512
Greatest Common Factor
We found the factors 6451,7512 . The biggest common factor number is the GCF number.
So the greatest common factor 6451,7512 is 1.
Lets's calculate LCM of 161,2072
| 7 | 161, 2072 |
| 23, 296 |
∴ So the LCM of the given numbers is 7 x 23 x 296 = 47656
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47656
Therefore, the GCF of Fractions 6451/161,7512/2072 is 1/47656
Least Common Multiple of 161,2072 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 161,2072 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,2072) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(161,2072) x common factors =7 x 1 = 7
LCM(161,2072) = ( 161 × 2072 ) / 7
LCM(161,2072) = 333592 / 7
LCM(161,2072) = 47656
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FAQs on GCF of Fractions of 6451/161, 7512/2072
1. What is the HCF of 6451,7512?
The HCF of 6451,7512 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 6451/161, 7512/2072?
Answer: GCF of Numerators as per given numbers 6451/161, 7512/2072 is
GCF of Numerators i.e. for 6451,7512 is 1
LCM of denominators i.e. for 161,2072 is 47656.
Thus, GCF of Fractions is 1/47656.Finally, GCF of Fractions for 6451/161, 7512/2072 is 1/47656.