GCF of 4249/408, 8814/433
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4249/408, 8814/433 i.e 1/176664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4249/408, 8814/433.
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 4249/408,8814/433?
Given fractions are 4249/408,8814/433
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 4249/408,8814/433, numerators are 4249,8814
Denominators are 408,433
The GCF of 4249,8814 is 1 .
LCM of 408,433 is 176664.
The greatest common factor of 4249/408,8814/433 = [GCF of 4249,8814]/[LCM of 408,433]= 1/176664
Therefore, the GCF of 4249/408,8814/433 is 1/176664.
To find the highest common factor of 4249,8814, we have to find the factors of both numbers and list the highest common factor.
The factors of 4249 are 1, 7, 607, 4249
The factors of 8814 are 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814
The HCF of 4249,8814 is 1.
Lets's calculate GCF of 4249,8814
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4249,8814 By Matching Biggest Common Factor Method
Now, list down the factors of 4249
:1,7,607,4249
Now, list down the factors of 8814
:1,2,3,6,13,26,39,78,113,226,339,678,1469,2938,4407,8814
Greatest Common Factor
We found the factors 4249,8814 . The biggest common factor number is the GCF number.
So the greatest common factor 4249,8814 is 1.
Lets's calculate LCM of 408,433
Given numbers has no common factors except 1. So, there LCM is their product i.e 176664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/176664
Therefore, the GCF of Fractions 4249/408,8814/433 is 1/176664
Least Common Multiple of 408,433 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 408,433 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(408,433) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(408,433) x common factors =1 x 1 = 1
LCM(408,433) = ( 408 × 433 ) / 1
LCM(408,433) = 176664 / 1
LCM(408,433) = 176664
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FAQs on GCF of Fractions of 4249/408, 8814/433
1. What is the HCF of 4249,8814?
The HCF of 4249,8814 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 4249/408, 8814/433?
Answer: GCF of Numerators as per given numbers 4249/408, 8814/433 is
GCF of Numerators i.e. for 4249,8814 is 1
LCM of denominators i.e. for 408,433 is 176664.
Thus, GCF of Fractions is 1/176664.Finally, GCF of Fractions for 4249/408, 8814/433 is 1/176664.