GCF of 9049/239, 3375/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9049/239, 3375/867 i.e 1/207213 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9049/239, 3375/867.
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 9049/239,3375/867?
Given fractions are 9049/239,3375/867
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 9049/239,3375/867, numerators are 9049,3375
Denominators are 239,867
The GCF of 9049,3375 is 1 .
LCM of 239,867 is 207213.
The greatest common factor of 9049/239,3375/867 = [GCF of 9049,3375]/[LCM of 239,867]= 1/207213
Therefore, the GCF of 9049/239,3375/867 is 1/207213.
To find the highest common factor of 9049,3375, we have to find the factors of both numbers and list the highest common factor.
The factors of 9049 are 1, 9049
The factors of 3375 are 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 675, 1125, 3375
The HCF of 9049,3375 is 1.
Lets's calculate GCF of 9049,3375
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9049,3375 By Matching Biggest Common Factor Method
Now, list down the factors of 9049
:1,9049
Now, list down the factors of 3375
:1,3,5,9,15,25,27,45,75,125,135,225,375,675,1125,3375
Greatest Common Factor
We found the factors 9049,3375 . The biggest common factor number is the GCF number.
So the greatest common factor 9049,3375 is 1.
Lets's calculate LCM of 239,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 207213
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/207213
Therefore, the GCF of Fractions 9049/239,3375/867 is 1/207213
Least Common Multiple of 239,867 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 239,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,867) x common factors =1 x 1 = 1
LCM(239,867) = ( 239 × 867 ) / 1
LCM(239,867) = 207213 / 1
LCM(239,867) = 207213
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FAQs on GCF of Fractions of 9049/239, 3375/867
1. What is the HCF of 9049,3375?
The HCF of 9049,3375 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 9049/239, 3375/867?
Answer: GCF of Numerators as per given numbers 9049/239, 3375/867 is
GCF of Numerators i.e. for 9049,3375 is 1
LCM of denominators i.e. for 239,867 is 207213.
Thus, GCF of Fractions is 1/207213.Finally, GCF of Fractions for 9049/239, 3375/867 is 1/207213.