GCF of 4323/157, 2820/8644
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4323/157, 2820/8644 i.e 3/1357108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4323/157, 2820/8644.
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 4323/157,2820/8644?
Given fractions are 4323/157,2820/8644
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 4323/157,2820/8644, numerators are 4323,2820
Denominators are 157,8644
The GCF of 4323,2820 is 3 .
LCM of 157,8644 is 1357108.
The greatest common factor of 4323/157,2820/8644 = [GCF of 4323,2820]/[LCM of 157,8644]= 3/1357108
Therefore, the GCF of 4323/157,2820/8644 is 3/1357108.
To find the highest common factor of 4323,2820, we have to find the factors of both numbers and list the highest common factor.
The factors of 4323 are 1, 3, 11, 33, 131, 393, 1441, 4323
The factors of 2820 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 47, 60, 94, 141, 188, 235, 282, 470, 564, 705, 940, 1410, 2820
The HCF of 4323,2820 is 3.
Lets's calculate GCF of 4323,2820
| 3 | 4323, 2820 |
| 1441, 940 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4323,2820 By Matching Biggest Common Factor Method
Now, list down the factors of 4323
:1,3,11,33,131,393,1441,4323
Now, list down the factors of 2820
:1,2,3,4,5,6,10,12,15,20,30,47,60,94,141,188,235,282,470,564,705,940,1410,2820
Greatest Common Factor
We found the factors 4323,2820 . The biggest common factor number is the GCF number.
So the greatest common factor 4323,2820 is 3.
Lets's calculate LCM of 157,8644
Given numbers has no common factors except 1. So, there LCM is their product i.e 1357108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1357108
Therefore, the GCF of Fractions 4323/157,2820/8644 is 3/1357108
Least Common Multiple of 157,8644 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 157,8644 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(157,8644) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(157,8644) x common factors =1 x 1 = 1
LCM(157,8644) = ( 157 × 8644 ) / 1
LCM(157,8644) = 1357108 / 1
LCM(157,8644) = 1357108
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FAQs on GCF of Fractions of 4323/157, 2820/8644
1. What is the HCF of 4323,2820?
The HCF of 4323,2820 is 3
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 4323/157, 2820/8644?
Answer: GCF of Numerators as per given numbers 4323/157, 2820/8644 is
GCF of Numerators i.e. for 4323,2820 is 3
LCM of denominators i.e. for 157,8644 is 1357108.
Thus, GCF of Fractions is 3/1357108.Finally, GCF of Fractions for 4323/157, 2820/8644 is 3/1357108.