GCF of 7444/165, 3234/2891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7444/165, 3234/2891 i.e 2/477015 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7444/165, 3234/2891.
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 7444/165,3234/2891?
Given fractions are 7444/165,3234/2891
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 7444/165,3234/2891, numerators are 7444,3234
Denominators are 165,2891
The GCF of 7444,3234 is 2 .
LCM of 165,2891 is 477015.
The greatest common factor of 7444/165,3234/2891 = [GCF of 7444,3234]/[LCM of 165,2891]= 2/477015
Therefore, the GCF of 7444/165,3234/2891 is 2/477015.
To find the highest common factor of 7444,3234, we have to find the factors of both numbers and list the highest common factor.
The factors of 7444 are 1, 2, 4, 1861, 3722, 7444
The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234
The HCF of 7444,3234 is 2.
Lets's calculate GCF of 7444,3234
| 2 | 7444, 3234 |
| 3722, 1617 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7444,3234 By Matching Biggest Common Factor Method
Now, list down the factors of 7444
:1,2,4,1861,3722,7444
Now, list down the factors of 3234
:1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234
Greatest Common Factor
We found the factors 7444,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 7444,3234 is 2.
Lets's calculate LCM of 165,2891
Given numbers has no common factors except 1. So, there LCM is their product i.e 477015
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/477015
Therefore, the GCF of Fractions 7444/165,3234/2891 is 2/477015
Least Common Multiple of 165,2891 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 165,2891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,2891) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,2891) x common factors =1 x 1 = 1
LCM(165,2891) = ( 165 × 2891 ) / 1
LCM(165,2891) = 477015 / 1
LCM(165,2891) = 477015
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FAQs on GCF of Fractions of 7444/165, 3234/2891
1. What is the HCF of 7444,3234?
The HCF of 7444,3234 is 2
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 7444/165, 3234/2891?
Answer: GCF of Numerators as per given numbers 7444/165, 3234/2891 is
GCF of Numerators i.e. for 7444,3234 is 2
LCM of denominators i.e. for 165,2891 is 477015.
Thus, GCF of Fractions is 2/477015.Finally, GCF of Fractions for 7444/165, 3234/2891 is 2/477015.