GCF of 1168/543, 7959/1557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1168/543, 7959/1557 i.e 1/281817 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1168/543, 7959/1557.
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 1168/543,7959/1557?
Given fractions are 1168/543,7959/1557
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 1168/543,7959/1557, numerators are 1168,7959
Denominators are 543,1557
The GCF of 1168,7959 is 1 .
LCM of 543,1557 is 281817.
The greatest common factor of 1168/543,7959/1557 = [GCF of 1168,7959]/[LCM of 543,1557]= 1/281817
Therefore, the GCF of 1168/543,7959/1557 is 1/281817.
To find the highest common factor of 1168,7959, we have to find the factors of both numbers and list the highest common factor.
The factors of 1168 are 1, 2, 4, 8, 16, 73, 146, 292, 584, 1168
The factors of 7959 are 1, 3, 7, 21, 379, 1137, 2653, 7959
The HCF of 1168,7959 is 1.
Lets's calculate GCF of 1168,7959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1168,7959 By Matching Biggest Common Factor Method
Now, list down the factors of 1168
:1,2,4,8,16,73,146,292,584,1168
Now, list down the factors of 7959
:1,3,7,21,379,1137,2653,7959
Greatest Common Factor
We found the factors 1168,7959 . The biggest common factor number is the GCF number.
So the greatest common factor 1168,7959 is 1.
Lets's calculate LCM of 543,1557
| 3 | 543, 1557 |
| 181, 519 |
∴ So the LCM of the given numbers is 3 x 181 x 519 = 281817
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/281817
Therefore, the GCF of Fractions 1168/543,7959/1557 is 1/281817
Least Common Multiple of 543,1557 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 543,1557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,1557) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,1557) x common factors =3 x 1 = 3
LCM(543,1557) = ( 543 × 1557 ) / 3
LCM(543,1557) = 845451 / 3
LCM(543,1557) = 281817
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FAQs on GCF of Fractions of 1168/543, 7959/1557
1. What is the HCF of 1168,7959?
The HCF of 1168,7959 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 1168/543, 7959/1557?
Answer: GCF of Numerators as per given numbers 1168/543, 7959/1557 is
GCF of Numerators i.e. for 1168,7959 is 1
LCM of denominators i.e. for 543,1557 is 281817.
Thus, GCF of Fractions is 1/281817.Finally, GCF of Fractions for 1168/543, 7959/1557 is 1/281817.