GCF of 3204/901, 4223/7709
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3204/901, 4223/7709 i.e 1/6945809 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3204/901, 4223/7709.
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 3204/901,4223/7709?
Given fractions are 3204/901,4223/7709
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 3204/901,4223/7709, numerators are 3204,4223
Denominators are 901,7709
The GCF of 3204,4223 is 1 .
LCM of 901,7709 is 6945809.
The greatest common factor of 3204/901,4223/7709 = [GCF of 3204,4223]/[LCM of 901,7709]= 1/6945809
Therefore, the GCF of 3204/901,4223/7709 is 1/6945809.
To find the highest common factor of 3204,4223, we have to find the factors of both numbers and list the highest common factor.
The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204
The factors of 4223 are 1, 41, 103, 4223
The HCF of 3204,4223 is 1.
Lets's calculate GCF of 3204,4223
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3204,4223 By Matching Biggest Common Factor Method
Now, list down the factors of 3204
:1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204
Now, list down the factors of 4223
:1,41,103,4223
Greatest Common Factor
We found the factors 3204,4223 . The biggest common factor number is the GCF number.
So the greatest common factor 3204,4223 is 1.
Lets's calculate LCM of 901,7709
Given numbers has no common factors except 1. So, there LCM is their product i.e 6945809
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6945809
Therefore, the GCF of Fractions 3204/901,4223/7709 is 1/6945809
Least Common Multiple of 901,7709 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 901,7709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(901,7709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(901,7709) x common factors =1 x 1 = 1
LCM(901,7709) = ( 901 × 7709 ) / 1
LCM(901,7709) = 6945809 / 1
LCM(901,7709) = 6945809
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FAQs on GCF of Fractions of 3204/901, 4223/7709
1. What is the HCF of 3204,4223?
The HCF of 3204,4223 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 3204/901, 4223/7709?
Answer: GCF of Numerators as per given numbers 3204/901, 4223/7709 is
GCF of Numerators i.e. for 3204,4223 is 1
LCM of denominators i.e. for 901,7709 is 6945809.
Thus, GCF of Fractions is 1/6945809.Finally, GCF of Fractions for 3204/901, 4223/7709 is 1/6945809.