GCF of 7149/675, 3326/979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7149/675, 3326/979 i.e 1/660825 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7149/675, 3326/979.
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 7149/675,3326/979?
Given fractions are 7149/675,3326/979
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 7149/675,3326/979, numerators are 7149,3326
Denominators are 675,979
The GCF of 7149,3326 is 1 .
LCM of 675,979 is 660825.
The greatest common factor of 7149/675,3326/979 = [GCF of 7149,3326]/[LCM of 675,979]= 1/660825
Therefore, the GCF of 7149/675,3326/979 is 1/660825.
To find the highest common factor of 7149,3326, we have to find the factors of both numbers and list the highest common factor.
The factors of 7149 are 1, 3, 2383, 7149
The factors of 3326 are 1, 2, 1663, 3326
The HCF of 7149,3326 is 1.
Lets's calculate GCF of 7149,3326
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7149,3326 By Matching Biggest Common Factor Method
Now, list down the factors of 7149
:1,3,2383,7149
Now, list down the factors of 3326
:1,2,1663,3326
Greatest Common Factor
We found the factors 7149,3326 . The biggest common factor number is the GCF number.
So the greatest common factor 7149,3326 is 1.
Lets's calculate LCM of 675,979
Given numbers has no common factors except 1. So, there LCM is their product i.e 660825
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/660825
Therefore, the GCF of Fractions 7149/675,3326/979 is 1/660825
Least Common Multiple of 675,979 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 675,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(675,979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(675,979) x common factors =1 x 1 = 1
LCM(675,979) = ( 675 × 979 ) / 1
LCM(675,979) = 660825 / 1
LCM(675,979) = 660825
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FAQs on GCF of Fractions of 7149/675, 3326/979
1. What is the HCF of 7149,3326?
The HCF of 7149,3326 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 7149/675, 3326/979?
Answer: GCF of Numerators as per given numbers 7149/675, 3326/979 is
GCF of Numerators i.e. for 7149,3326 is 1
LCM of denominators i.e. for 675,979 is 660825.
Thus, GCF of Fractions is 1/660825.Finally, GCF of Fractions for 7149/675, 3326/979 is 1/660825.