GCF of 7047/142, 5583/1158
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7047/142, 5583/1158 i.e 3/82218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7047/142, 5583/1158.
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 7047/142,5583/1158?
Given fractions are 7047/142,5583/1158
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 7047/142,5583/1158, numerators are 7047,5583
Denominators are 142,1158
The GCF of 7047,5583 is 3 .
LCM of 142,1158 is 82218.
The greatest common factor of 7047/142,5583/1158 = [GCF of 7047,5583]/[LCM of 142,1158]= 3/82218
Therefore, the GCF of 7047/142,5583/1158 is 3/82218.
To find the highest common factor of 7047,5583, we have to find the factors of both numbers and list the highest common factor.
The factors of 7047 are 1, 3, 9, 27, 29, 81, 87, 243, 261, 783, 2349, 7047
The factors of 5583 are 1, 3, 1861, 5583
The HCF of 7047,5583 is 3.
Lets's calculate GCF of 7047,5583
| 3 | 7047, 5583 |
| 2349, 1861 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7047,5583 By Matching Biggest Common Factor Method
Now, list down the factors of 7047
:1,3,9,27,29,81,87,243,261,783,2349,7047
Now, list down the factors of 5583
:1,3,1861,5583
Greatest Common Factor
We found the factors 7047,5583 . The biggest common factor number is the GCF number.
So the greatest common factor 7047,5583 is 3.
Lets's calculate LCM of 142,1158
| 2 | 142, 1158 |
| 71, 579 |
∴ So the LCM of the given numbers is 2 x 71 x 579 = 82218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82218
Therefore, the GCF of Fractions 7047/142,5583/1158 is 3/82218
Least Common Multiple of 142,1158 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 142,1158 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,1158) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,1158) x common factors =2 x 1 = 2
LCM(142,1158) = ( 142 × 1158 ) / 2
LCM(142,1158) = 164436 / 2
LCM(142,1158) = 82218
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FAQs on GCF of Fractions of 7047/142, 5583/1158
1. What is the HCF of 7047,5583?
The HCF of 7047,5583 is 3
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 7047/142, 5583/1158?
Answer: GCF of Numerators as per given numbers 7047/142, 5583/1158 is
GCF of Numerators i.e. for 7047,5583 is 3
LCM of denominators i.e. for 142,1158 is 82218.
Thus, GCF of Fractions is 3/82218.Finally, GCF of Fractions for 7047/142, 5583/1158 is 3/82218.