GCF of 7009/409, 2197/8384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7009/409, 2197/8384 i.e 1/3429056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7009/409, 2197/8384.
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 7009/409,2197/8384?
Given fractions are 7009/409,2197/8384
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 7009/409,2197/8384, numerators are 7009,2197
Denominators are 409,8384
The GCF of 7009,2197 is 1 .
LCM of 409,8384 is 3429056.
The greatest common factor of 7009/409,2197/8384 = [GCF of 7009,2197]/[LCM of 409,8384]= 1/3429056
Therefore, the GCF of 7009/409,2197/8384 is 1/3429056.
To find the highest common factor of 7009,2197, we have to find the factors of both numbers and list the highest common factor.
The factors of 7009 are 1, 43, 163, 7009
The factors of 2197 are 1, 13, 169, 2197
The HCF of 7009,2197 is 1.
Lets's calculate GCF of 7009,2197
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7009,2197 By Matching Biggest Common Factor Method
Now, list down the factors of 7009
:1,43,163,7009
Now, list down the factors of 2197
:1,13,169,2197
Greatest Common Factor
We found the factors 7009,2197 . The biggest common factor number is the GCF number.
So the greatest common factor 7009,2197 is 1.
Lets's calculate LCM of 409,8384
Given numbers has no common factors except 1. So, there LCM is their product i.e 3429056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3429056
Therefore, the GCF of Fractions 7009/409,2197/8384 is 1/3429056
Least Common Multiple of 409,8384 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 409,8384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(409,8384) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(409,8384) x common factors =1 x 1 = 1
LCM(409,8384) = ( 409 × 8384 ) / 1
LCM(409,8384) = 3429056 / 1
LCM(409,8384) = 3429056
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FAQs on GCF of Fractions of 7009/409, 2197/8384
1. What is the HCF of 7009,2197?
The HCF of 7009,2197 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 7009/409, 2197/8384?
Answer: GCF of Numerators as per given numbers 7009/409, 2197/8384 is
GCF of Numerators i.e. for 7009,2197 is 1
LCM of denominators i.e. for 409,8384 is 3429056.
Thus, GCF of Fractions is 1/3429056.Finally, GCF of Fractions for 7009/409, 2197/8384 is 1/3429056.