GCF of 7596/161, 7057/1022
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7596/161, 7057/1022 i.e 1/23506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7596/161, 7057/1022.
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 7596/161,7057/1022?
Given fractions are 7596/161,7057/1022
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 7596/161,7057/1022, numerators are 7596,7057
Denominators are 161,1022
The GCF of 7596,7057 is 1 .
LCM of 161,1022 is 23506.
The greatest common factor of 7596/161,7057/1022 = [GCF of 7596,7057]/[LCM of 161,1022]= 1/23506
Therefore, the GCF of 7596/161,7057/1022 is 1/23506.
To find the highest common factor of 7596,7057, we have to find the factors of both numbers and list the highest common factor.
The factors of 7596 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 211, 422, 633, 844, 1266, 1899, 2532, 3798, 7596
The factors of 7057 are 1, 7057
The HCF of 7596,7057 is 1.
Lets's calculate GCF of 7596,7057
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7596,7057 By Matching Biggest Common Factor Method
Now, list down the factors of 7596
:1,2,3,4,6,9,12,18,36,211,422,633,844,1266,1899,2532,3798,7596
Now, list down the factors of 7057
:1,7057
Greatest Common Factor
We found the factors 7596,7057 . The biggest common factor number is the GCF number.
So the greatest common factor 7596,7057 is 1.
Lets's calculate LCM of 161,1022
| 7 | 161, 1022 |
| 23, 146 |
∴ So the LCM of the given numbers is 7 x 23 x 146 = 23506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23506
Therefore, the GCF of Fractions 7596/161,7057/1022 is 1/23506
Least Common Multiple of 161,1022 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 161,1022 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,1022) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(161,1022) x common factors =7 x 1 = 7
LCM(161,1022) = ( 161 × 1022 ) / 7
LCM(161,1022) = 164542 / 7
LCM(161,1022) = 23506
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FAQs on GCF of Fractions of 7596/161, 7057/1022
1. What is the HCF of 7596,7057?
The HCF of 7596,7057 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 7596/161, 7057/1022?
Answer: GCF of Numerators as per given numbers 7596/161, 7057/1022 is
GCF of Numerators i.e. for 7596,7057 is 1
LCM of denominators i.e. for 161,1022 is 23506.
Thus, GCF of Fractions is 1/23506.Finally, GCF of Fractions for 7596/161, 7057/1022 is 1/23506.