GCF of 5914/142, 7292/7168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5914/142, 7292/7168 i.e 2/508928 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5914/142, 7292/7168.
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 5914/142,7292/7168?
Given fractions are 5914/142,7292/7168
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 5914/142,7292/7168, numerators are 5914,7292
Denominators are 142,7168
The GCF of 5914,7292 is 2 .
LCM of 142,7168 is 508928.
The greatest common factor of 5914/142,7292/7168 = [GCF of 5914,7292]/[LCM of 142,7168]= 2/508928
Therefore, the GCF of 5914/142,7292/7168 is 2/508928.
To find the highest common factor of 5914,7292, we have to find the factors of both numbers and list the highest common factor.
The factors of 5914 are 1, 2, 2957, 5914
The factors of 7292 are 1, 2, 4, 1823, 3646, 7292
The HCF of 5914,7292 is 2.
Lets's calculate GCF of 5914,7292
| 2 | 5914, 7292 |
| 2957, 3646 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5914,7292 By Matching Biggest Common Factor Method
Now, list down the factors of 5914
:1,2,2957,5914
Now, list down the factors of 7292
:1,2,4,1823,3646,7292
Greatest Common Factor
We found the factors 5914,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 5914,7292 is 2.
Lets's calculate LCM of 142,7168
| 2 | 142, 7168 |
| 71, 3584 |
∴ So the LCM of the given numbers is 2 x 71 x 3584 = 508928
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/508928
Therefore, the GCF of Fractions 5914/142,7292/7168 is 2/508928
Least Common Multiple of 142,7168 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 142,7168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,7168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(142,7168) x common factors =2 x 1 = 2
LCM(142,7168) = ( 142 × 7168 ) / 2
LCM(142,7168) = 1017856 / 2
LCM(142,7168) = 508928
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FAQs on GCF of Fractions of 5914/142, 7292/7168
1. What is the HCF of 5914,7292?
The HCF of 5914,7292 is 2
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 5914/142, 7292/7168?
Answer: GCF of Numerators as per given numbers 5914/142, 7292/7168 is
GCF of Numerators i.e. for 5914,7292 is 2
LCM of denominators i.e. for 142,7168 is 508928.
Thus, GCF of Fractions is 2/508928.Finally, GCF of Fractions for 5914/142, 7292/7168 is 2/508928.