GCF of 4300/567, 5117/9671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4300/567, 5117/9671 i.e 43/5483457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4300/567, 5117/9671.
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 4300/567,5117/9671?
Given fractions are 4300/567,5117/9671
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 4300/567,5117/9671, numerators are 4300,5117
Denominators are 567,9671
The GCF of 4300,5117 is 43 .
LCM of 567,9671 is 5483457.
The greatest common factor of 4300/567,5117/9671 = [GCF of 4300,5117]/[LCM of 567,9671]= 43/5483457
Therefore, the GCF of 4300/567,5117/9671 is 43/5483457.
To find the highest common factor of 4300,5117, we have to find the factors of both numbers and list the highest common factor.
The factors of 4300 are 1, 2, 4, 5, 10, 20, 25, 43, 50, 86, 100, 172, 215, 430, 860, 1075, 2150, 4300
The factors of 5117 are 1, 7, 17, 43, 119, 301, 731, 5117
The HCF of 4300,5117 is 43.
Lets's calculate GCF of 4300,5117
| 43 | 4300, 5117 |
| 100, 119 |
∴ So the GCF of the given numbers is 43 = 43
Greatest Common Factor of 4300,5117 By Matching Biggest Common Factor Method
Now, list down the factors of 4300
:1,2,4,5,10,20,25,43,50,86,100,172,215,430,860,1075,2150,4300
Now, list down the factors of 5117
:1,7,17,43,119,301,731,5117
Greatest Common Factor
We found the factors 4300,5117 . The biggest common factor number is the GCF number.
So the greatest common factor 4300,5117 is 43.
Lets's calculate LCM of 567,9671
Given numbers has no common factors except 1. So, there LCM is their product i.e 5483457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/5483457
Therefore, the GCF of Fractions 4300/567,5117/9671 is 43/5483457
Least Common Multiple of 567,9671 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 567,9671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(567,9671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(567,9671) x common factors =1 x 1 = 1
LCM(567,9671) = ( 567 × 9671 ) / 1
LCM(567,9671) = 5483457 / 1
LCM(567,9671) = 5483457
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FAQs on GCF of Fractions of 4300/567, 5117/9671
1. What is the HCF of 4300,5117?
The HCF of 4300,5117 is 43
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 4300/567, 5117/9671?
Answer: GCF of Numerators as per given numbers 4300/567, 5117/9671 is
GCF of Numerators i.e. for 4300,5117 is 43
LCM of denominators i.e. for 567,9671 is 5483457.
Thus, GCF of Fractions is 43/5483457.Finally, GCF of Fractions for 4300/567, 5117/9671 is 43/5483457.