GCF of 2209/173, 3207/974
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2209/173, 3207/974 i.e 1/168502 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2209/173, 3207/974.
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 2209/173,3207/974?
Given fractions are 2209/173,3207/974
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 2209/173,3207/974, numerators are 2209,3207
Denominators are 173,974
The GCF of 2209,3207 is 1 .
LCM of 173,974 is 168502.
The greatest common factor of 2209/173,3207/974 = [GCF of 2209,3207]/[LCM of 173,974]= 1/168502
Therefore, the GCF of 2209/173,3207/974 is 1/168502.
To find the highest common factor of 2209,3207, we have to find the factors of both numbers and list the highest common factor.
The factors of 2209 are 1, 47, 2209
The factors of 3207 are 1, 3, 1069, 3207
The HCF of 2209,3207 is 1.
Lets's calculate GCF of 2209,3207
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2209,3207 By Matching Biggest Common Factor Method
Now, list down the factors of 2209
:1,47,2209
Now, list down the factors of 3207
:1,3,1069,3207
Greatest Common Factor
We found the factors 2209,3207 . The biggest common factor number is the GCF number.
So the greatest common factor 2209,3207 is 1.
Lets's calculate LCM of 173,974
Given numbers has no common factors except 1. So, there LCM is their product i.e 168502
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/168502
Therefore, the GCF of Fractions 2209/173,3207/974 is 1/168502
Least Common Multiple of 173,974 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 173,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,974) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,974) x common factors =1 x 1 = 1
LCM(173,974) = ( 173 × 974 ) / 1
LCM(173,974) = 168502 / 1
LCM(173,974) = 168502
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FAQs on GCF of Fractions of 2209/173, 3207/974
1. What is the HCF of 2209,3207?
The HCF of 2209,3207 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 2209/173, 3207/974?
Answer: GCF of Numerators as per given numbers 2209/173, 3207/974 is
GCF of Numerators i.e. for 2209,3207 is 1
LCM of denominators i.e. for 173,974 is 168502.
Thus, GCF of Fractions is 1/168502.Finally, GCF of Fractions for 2209/173, 3207/974 is 1/168502.