GCF of 440/67, 217/326
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 440/67, 217/326 i.e 1/21842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 440/67, 217/326.
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 440/67,217/326?
Given fractions are 440/67,217/326
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 440/67,217/326, numerators are 440,217
Denominators are 67,326
The GCF of 440,217 is 1 .
LCM of 67,326 is 21842.
The greatest common factor of 440/67,217/326 = [GCF of 440,217]/[LCM of 67,326]= 1/21842
Therefore, the GCF of 440/67,217/326 is 1/21842.
To find the highest common factor of 440,217, we have to find the factors of both numbers and list the highest common factor.
The factors of 440 are 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
The factors of 217 are 1, 7, 31, 217
The HCF of 440,217 is 1.
Lets's calculate GCF of 440,217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 440,217 By Matching Biggest Common Factor Method
Now, list down the factors of 440
:1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440
Now, list down the factors of 217
:1,7,31,217
Greatest Common Factor
We found the factors 440,217 . The biggest common factor number is the GCF number.
So the greatest common factor 440,217 is 1.
Lets's calculate LCM of 67,326
Given numbers has no common factors except 1. So, there LCM is their product i.e 21842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21842
Therefore, the GCF of Fractions 440/67,217/326 is 1/21842
Least Common Multiple of 67,326 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 67,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(67,326) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(67,326) x common factors =1 x 1 = 1
LCM(67,326) = ( 67 × 326 ) / 1
LCM(67,326) = 21842 / 1
LCM(67,326) = 21842
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FAQs on GCF of Fractions of 440/67, 217/326
1. What is the HCF of 440,217?
The HCF of 440,217 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 440/67, 217/326?
Answer: GCF of Numerators as per given numbers 440/67, 217/326 is
GCF of Numerators i.e. for 440,217 is 1
LCM of denominators i.e. for 67,326 is 21842.
Thus, GCF of Fractions is 1/21842.Finally, GCF of Fractions for 440/67, 217/326 is 1/21842.