GCF of 209/365, 7397/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 209/365, 7397/967 i.e 1/352955 easily. The following is the detailed procedure to determine the greatest common factor of fractions 209/365, 7397/967.
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 209/365,7397/967?
Given fractions are 209/365,7397/967
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 209/365,7397/967, numerators are 209,7397
Denominators are 365,967
The GCF of 209,7397 is 1 .
LCM of 365,967 is 352955.
The greatest common factor of 209/365,7397/967 = [GCF of 209,7397]/[LCM of 365,967]= 1/352955
Therefore, the GCF of 209/365,7397/967 is 1/352955.
To find the highest common factor of 209,7397, we have to find the factors of both numbers and list the highest common factor.
The factors of 209 are 1, 11, 19, 209
The factors of 7397 are 1, 13, 569, 7397
The HCF of 209,7397 is 1.
Lets's calculate GCF of 209,7397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 209,7397 By Matching Biggest Common Factor Method
Now, list down the factors of 209
:1,11,19,209
Now, list down the factors of 7397
:1,13,569,7397
Greatest Common Factor
We found the factors 209,7397 . The biggest common factor number is the GCF number.
So the greatest common factor 209,7397 is 1.
Lets's calculate LCM of 365,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 352955
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/352955
Therefore, the GCF of Fractions 209/365,7397/967 is 1/352955
Least Common Multiple of 365,967 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 365,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(365,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(365,967) x common factors =1 x 1 = 1
LCM(365,967) = ( 365 × 967 ) / 1
LCM(365,967) = 352955 / 1
LCM(365,967) = 352955
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FAQs on GCF of Fractions of 209/365, 7397/967
1. What is the HCF of 209,7397?
The HCF of 209,7397 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 209/365, 7397/967?
Answer: GCF of Numerators as per given numbers 209/365, 7397/967 is
GCF of Numerators i.e. for 209,7397 is 1
LCM of denominators i.e. for 365,967 is 352955.
Thus, GCF of Fractions is 1/352955.Finally, GCF of Fractions for 209/365, 7397/967 is 1/352955.