GCF of 2163/812, 4569/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2163/812, 4569/769 i.e 3/624428 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2163/812, 4569/769.
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 2163/812,4569/769?
Given fractions are 2163/812,4569/769
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 2163/812,4569/769, numerators are 2163,4569
Denominators are 812,769
The GCF of 2163,4569 is 3 .
LCM of 812,769 is 624428.
The greatest common factor of 2163/812,4569/769 = [GCF of 2163,4569]/[LCM of 812,769]= 3/624428
Therefore, the GCF of 2163/812,4569/769 is 3/624428.
To find the highest common factor of 2163,4569, we have to find the factors of both numbers and list the highest common factor.
The factors of 2163 are 1, 3, 7, 21, 103, 309, 721, 2163
The factors of 4569 are 1, 3, 1523, 4569
The HCF of 2163,4569 is 3.
Lets's calculate GCF of 2163,4569
| 3 | 2163, 4569 |
| 721, 1523 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2163,4569 By Matching Biggest Common Factor Method
Now, list down the factors of 2163
:1,3,7,21,103,309,721,2163
Now, list down the factors of 4569
:1,3,1523,4569
Greatest Common Factor
We found the factors 2163,4569 . The biggest common factor number is the GCF number.
So the greatest common factor 2163,4569 is 3.
Lets's calculate LCM of 812,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 624428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/624428
Therefore, the GCF of Fractions 2163/812,4569/769 is 3/624428
Least Common Multiple of 812,769 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 812,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(812,769) x common factors =1 x 1 = 1
LCM(812,769) = ( 812 × 769 ) / 1
LCM(812,769) = 624428 / 1
LCM(812,769) = 624428
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FAQs on GCF of Fractions of 2163/812, 4569/769
1. What is the HCF of 2163,4569?
The HCF of 2163,4569 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 2163/812, 4569/769?
Answer: GCF of Numerators as per given numbers 2163/812, 4569/769 is
GCF of Numerators i.e. for 2163,4569 is 3
LCM of denominators i.e. for 812,769 is 624428.
Thus, GCF of Fractions is 3/624428.Finally, GCF of Fractions for 2163/812, 4569/769 is 3/624428.