GCF of 979/23, 289/408
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 979/23, 289/408 i.e 1/9384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 979/23, 289/408.
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 979/23,289/408?
Given fractions are 979/23,289/408
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 979/23,289/408, numerators are 979,289
Denominators are 23,408
The GCF of 979,289 is 1 .
LCM of 23,408 is 9384.
The greatest common factor of 979/23,289/408 = [GCF of 979,289]/[LCM of 23,408]= 1/9384
Therefore, the GCF of 979/23,289/408 is 1/9384.
To find the highest common factor of 979,289, we have to find the factors of both numbers and list the highest common factor.
The factors of 979 are 1, 11, 89, 979
The factors of 289 are 1, 17, 289
The HCF of 979,289 is 1.
Lets's calculate GCF of 979,289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 979,289 By Matching Biggest Common Factor Method
Now, list down the factors of 979
:1,11,89,979
Now, list down the factors of 289
:1,17,289
Greatest Common Factor
We found the factors 979,289 . The biggest common factor number is the GCF number.
So the greatest common factor 979,289 is 1.
Lets's calculate LCM of 23,408
Given numbers has no common factors except 1. So, there LCM is their product i.e 9384
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9384
Therefore, the GCF of Fractions 979/23,289/408 is 1/9384
Least Common Multiple of 23,408 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 23,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,408) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,408) x common factors =1 x 1 = 1
LCM(23,408) = ( 23 × 408 ) / 1
LCM(23,408) = 9384 / 1
LCM(23,408) = 9384
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FAQs on GCF of Fractions of 979/23, 289/408
1. What is the HCF of 979,289?
The HCF of 979,289 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 979/23, 289/408?
Answer: GCF of Numerators as per given numbers 979/23, 289/408 is
GCF of Numerators i.e. for 979,289 is 1
LCM of denominators i.e. for 23,408 is 9384.
Thus, GCF of Fractions is 1/9384.Finally, GCF of Fractions for 979/23, 289/408 is 1/9384.