GCF of 2239/284, 4125/4253
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2239/284, 4125/4253 i.e 1/1207852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2239/284, 4125/4253.
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 2239/284,4125/4253?
Given fractions are 2239/284,4125/4253
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 2239/284,4125/4253, numerators are 2239,4125
Denominators are 284,4253
The GCF of 2239,4125 is 1 .
LCM of 284,4253 is 1207852.
The greatest common factor of 2239/284,4125/4253 = [GCF of 2239,4125]/[LCM of 284,4253]= 1/1207852
Therefore, the GCF of 2239/284,4125/4253 is 1/1207852.
To find the highest common factor of 2239,4125, we have to find the factors of both numbers and list the highest common factor.
The factors of 2239 are 1, 2239
The factors of 4125 are 1, 3, 5, 11, 15, 25, 33, 55, 75, 125, 165, 275, 375, 825, 1375, 4125
The HCF of 2239,4125 is 1.
Lets's calculate GCF of 2239,4125
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2239,4125 By Matching Biggest Common Factor Method
Now, list down the factors of 2239
:1,2239
Now, list down the factors of 4125
:1,3,5,11,15,25,33,55,75,125,165,275,375,825,1375,4125
Greatest Common Factor
We found the factors 2239,4125 . The biggest common factor number is the GCF number.
So the greatest common factor 2239,4125 is 1.
Lets's calculate LCM of 284,4253
Given numbers has no common factors except 1. So, there LCM is their product i.e 1207852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1207852
Therefore, the GCF of Fractions 2239/284,4125/4253 is 1/1207852
Least Common Multiple of 284,4253 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 284,4253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,4253) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,4253) x common factors =1 x 1 = 1
LCM(284,4253) = ( 284 × 4253 ) / 1
LCM(284,4253) = 1207852 / 1
LCM(284,4253) = 1207852
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FAQs on GCF of Fractions of 2239/284, 4125/4253
1. What is the HCF of 2239,4125?
The HCF of 2239,4125 is 1
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 2239/284, 4125/4253?
Answer: GCF of Numerators as per given numbers 2239/284, 4125/4253 is
GCF of Numerators i.e. for 2239,4125 is 1
LCM of denominators i.e. for 284,4253 is 1207852.
Thus, GCF of Fractions is 1/1207852.Finally, GCF of Fractions for 2239/284, 4125/4253 is 1/1207852.