GCF of 4053/299, 1288/4231
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4053/299, 1288/4231 i.e 7/1265069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4053/299, 1288/4231.
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 4053/299,1288/4231?
Given fractions are 4053/299,1288/4231
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 4053/299,1288/4231, numerators are 4053,1288
Denominators are 299,4231
The GCF of 4053,1288 is 7 .
LCM of 299,4231 is 1265069.
The greatest common factor of 4053/299,1288/4231 = [GCF of 4053,1288]/[LCM of 299,4231]= 7/1265069
Therefore, the GCF of 4053/299,1288/4231 is 7/1265069.
To find the highest common factor of 4053,1288, we have to find the factors of both numbers and list the highest common factor.
The factors of 4053 are 1, 3, 7, 21, 193, 579, 1351, 4053
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The HCF of 4053,1288 is 7.
Lets's calculate GCF of 4053,1288
| 7 | 4053, 1288 |
| 579, 184 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4053,1288 By Matching Biggest Common Factor Method
Now, list down the factors of 4053
:1,3,7,21,193,579,1351,4053
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Greatest Common Factor
We found the factors 4053,1288 . The biggest common factor number is the GCF number.
So the greatest common factor 4053,1288 is 7.
Lets's calculate LCM of 299,4231
Given numbers has no common factors except 1. So, there LCM is their product i.e 1265069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1265069
Therefore, the GCF of Fractions 4053/299,1288/4231 is 7/1265069
Least Common Multiple of 299,4231 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 299,4231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(299,4231) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(299,4231) x common factors =1 x 1 = 1
LCM(299,4231) = ( 299 × 4231 ) / 1
LCM(299,4231) = 1265069 / 1
LCM(299,4231) = 1265069
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FAQs on GCF of Fractions of 4053/299, 1288/4231
1. What is the HCF of 4053,1288?
The HCF of 4053,1288 is 7
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 4053/299, 1288/4231?
Answer: GCF of Numerators as per given numbers 4053/299, 1288/4231 is
GCF of Numerators i.e. for 4053,1288 is 7
LCM of denominators i.e. for 299,4231 is 1265069.
Thus, GCF of Fractions is 7/1265069.Finally, GCF of Fractions for 4053/299, 1288/4231 is 7/1265069.