GCF of 4300/865, 5260/4445
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4300/865, 5260/4445 i.e 20/768985 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4300/865, 5260/4445.
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 4300/865,5260/4445?
Given fractions are 4300/865,5260/4445
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 4300/865,5260/4445, numerators are 4300,5260
Denominators are 865,4445
The GCF of 4300,5260 is 20 .
LCM of 865,4445 is 768985.
The greatest common factor of 4300/865,5260/4445 = [GCF of 4300,5260]/[LCM of 865,4445]= 20/768985
Therefore, the GCF of 4300/865,5260/4445 is 20/768985.
To find the highest common factor of 4300,5260, 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 5260 are 1, 2, 4, 5, 10, 20, 263, 526, 1052, 1315, 2630, 5260
The HCF of 4300,5260 is 20.
Lets's calculate GCF of 4300,5260
| 2 | 4300, 5260 |
| 2 | 2150, 2630 |
| 5 | 1075, 1315 |
| 215, 263 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 4300,5260 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 5260
:1,2,4,5,10,20,263,526,1052,1315,2630,5260
Greatest Common Factor
We found the factors 4300,5260 . The biggest common factor number is the GCF number.
So the greatest common factor 4300,5260 is 20.
Lets's calculate LCM of 865,4445
| 5 | 865, 4445 |
| 173, 889 |
∴ So the LCM of the given numbers is 5 x 173 x 889 = 768985
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/768985
Therefore, the GCF of Fractions 4300/865,5260/4445 is 20/768985
Least Common Multiple of 865,4445 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 865,4445 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(865,4445) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(865,4445) x common factors =5 x 1 = 5
LCM(865,4445) = ( 865 × 4445 ) / 5
LCM(865,4445) = 3844925 / 5
LCM(865,4445) = 768985
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FAQs on GCF of Fractions of 4300/865, 5260/4445
1. What is the HCF of 4300,5260?
The HCF of 4300,5260 is 20
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 4300/865, 5260/4445?
Answer: GCF of Numerators as per given numbers 4300/865, 5260/4445 is
GCF of Numerators i.e. for 4300,5260 is 20
LCM of denominators i.e. for 865,4445 is 768985.
Thus, GCF of Fractions is 20/768985.Finally, GCF of Fractions for 4300/865, 5260/4445 is 20/768985.