GCF of 4457/174, 5143/6086
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4457/174, 5143/6086 i.e 1/529482 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4457/174, 5143/6086.
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 4457/174,5143/6086?
Given fractions are 4457/174,5143/6086
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 4457/174,5143/6086, numerators are 4457,5143
Denominators are 174,6086
The GCF of 4457,5143 is 1 .
LCM of 174,6086 is 529482.
The greatest common factor of 4457/174,5143/6086 = [GCF of 4457,5143]/[LCM of 174,6086]= 1/529482
Therefore, the GCF of 4457/174,5143/6086 is 1/529482.
To find the highest common factor of 4457,5143, we have to find the factors of both numbers and list the highest common factor.
The factors of 4457 are 1, 4457
The factors of 5143 are 1, 37, 139, 5143
The HCF of 4457,5143 is 1.
Lets's calculate GCF of 4457,5143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4457,5143 By Matching Biggest Common Factor Method
Now, list down the factors of 4457
:1,4457
Now, list down the factors of 5143
:1,37,139,5143
Greatest Common Factor
We found the factors 4457,5143 . The biggest common factor number is the GCF number.
So the greatest common factor 4457,5143 is 1.
Lets's calculate LCM of 174,6086
| 2 | 174, 6086 |
| 87, 3043 |
∴ So the LCM of the given numbers is 2 x 87 x 3043 = 529482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/529482
Therefore, the GCF of Fractions 4457/174,5143/6086 is 1/529482
Least Common Multiple of 174,6086 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 174,6086 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(174,6086) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(174,6086) x common factors =2 x 1 = 2
LCM(174,6086) = ( 174 × 6086 ) / 2
LCM(174,6086) = 1058964 / 2
LCM(174,6086) = 529482
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FAQs on GCF of Fractions of 4457/174, 5143/6086
1. What is the HCF of 4457,5143?
The HCF of 4457,5143 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 4457/174, 5143/6086?
Answer: GCF of Numerators as per given numbers 4457/174, 5143/6086 is
GCF of Numerators i.e. for 4457,5143 is 1
LCM of denominators i.e. for 174,6086 is 529482.
Thus, GCF of Fractions is 1/529482.Finally, GCF of Fractions for 4457/174, 5143/6086 is 1/529482.