GCF of 2020/261, 1764/229
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2020/261, 1764/229 i.e 4/59769 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2020/261, 1764/229.
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 2020/261,1764/229?
Given fractions are 2020/261,1764/229
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 2020/261,1764/229, numerators are 2020,1764
Denominators are 261,229
The GCF of 2020,1764 is 4 .
LCM of 261,229 is 59769.
The greatest common factor of 2020/261,1764/229 = [GCF of 2020,1764]/[LCM of 261,229]= 4/59769
Therefore, the GCF of 2020/261,1764/229 is 4/59769.
To find the highest common factor of 2020,1764, we have to find the factors of both numbers and list the highest common factor.
The factors of 2020 are 1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010, 2020
The factors of 1764 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 49, 63, 84, 98, 126, 147, 196, 252, 294, 441, 588, 882, 1764
The HCF of 2020,1764 is 4.
Lets's calculate GCF of 2020,1764
| 2 | 2020, 1764 |
| 2 | 1010, 882 |
| 505, 441 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2020,1764 By Matching Biggest Common Factor Method
Now, list down the factors of 2020
:1,2,4,5,10,20,101,202,404,505,1010,2020
Now, list down the factors of 1764
:1,2,3,4,6,7,9,12,14,18,21,28,36,42,49,63,84,98,126,147,196,252,294,441,588,882,1764
Greatest Common Factor
We found the factors 2020,1764 . The biggest common factor number is the GCF number.
So the greatest common factor 2020,1764 is 4.
Lets's calculate LCM of 261,229
Given numbers has no common factors except 1. So, there LCM is their product i.e 59769
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/59769
Therefore, the GCF of Fractions 2020/261,1764/229 is 4/59769
Least Common Multiple of 261,229 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 261,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(261,229) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(261,229) x common factors =1 x 1 = 1
LCM(261,229) = ( 261 × 229 ) / 1
LCM(261,229) = 59769 / 1
LCM(261,229) = 59769
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FAQs on GCF of Fractions of 2020/261, 1764/229
1. What is the HCF of 2020,1764?
The HCF of 2020,1764 is 4
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 2020/261, 1764/229?
Answer: GCF of Numerators as per given numbers 2020/261, 1764/229 is
GCF of Numerators i.e. for 2020,1764 is 4
LCM of denominators i.e. for 261,229 is 59769.
Thus, GCF of Fractions is 4/59769.Finally, GCF of Fractions for 2020/261, 1764/229 is 4/59769.