GCF of 5437/146, 5402/4756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5437/146, 5402/4756 i.e 1/347188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5437/146, 5402/4756.
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 5437/146,5402/4756?
Given fractions are 5437/146,5402/4756
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 5437/146,5402/4756, numerators are 5437,5402
Denominators are 146,4756
The GCF of 5437,5402 is 1 .
LCM of 146,4756 is 347188.
The greatest common factor of 5437/146,5402/4756 = [GCF of 5437,5402]/[LCM of 146,4756]= 1/347188
Therefore, the GCF of 5437/146,5402/4756 is 1/347188.
To find the highest common factor of 5437,5402, we have to find the factors of both numbers and list the highest common factor.
The factors of 5437 are 1, 5437
The factors of 5402 are 1, 2, 37, 73, 74, 146, 2701, 5402
The HCF of 5437,5402 is 1.
Lets's calculate GCF of 5437,5402
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5437,5402 By Matching Biggest Common Factor Method
Now, list down the factors of 5437
:1,5437
Now, list down the factors of 5402
:1,2,37,73,74,146,2701,5402
Greatest Common Factor
We found the factors 5437,5402 . The biggest common factor number is the GCF number.
So the greatest common factor 5437,5402 is 1.
Lets's calculate LCM of 146,4756
| 2 | 146, 4756 |
| 73, 2378 |
∴ So the LCM of the given numbers is 2 x 73 x 2378 = 347188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/347188
Therefore, the GCF of Fractions 5437/146,5402/4756 is 1/347188
Least Common Multiple of 146,4756 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 146,4756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(146,4756) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(146,4756) x common factors =2 x 1 = 2
LCM(146,4756) = ( 146 × 4756 ) / 2
LCM(146,4756) = 694376 / 2
LCM(146,4756) = 347188
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FAQs on GCF of Fractions of 5437/146, 5402/4756
1. What is the HCF of 5437,5402?
The HCF of 5437,5402 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 5437/146, 5402/4756?
Answer: GCF of Numerators as per given numbers 5437/146, 5402/4756 is
GCF of Numerators i.e. for 5437,5402 is 1
LCM of denominators i.e. for 146,4756 is 347188.
Thus, GCF of Fractions is 1/347188.Finally, GCF of Fractions for 5437/146, 5402/4756 is 1/347188.