GCF of 6797/978, 2564/9197
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6797/978, 2564/9197 i.e 1/8994666 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6797/978, 2564/9197.
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 6797/978,2564/9197?
Given fractions are 6797/978,2564/9197
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 6797/978,2564/9197, numerators are 6797,2564
Denominators are 978,9197
The GCF of 6797,2564 is 1 .
LCM of 978,9197 is 8994666.
The greatest common factor of 6797/978,2564/9197 = [GCF of 6797,2564]/[LCM of 978,9197]= 1/8994666
Therefore, the GCF of 6797/978,2564/9197 is 1/8994666.
To find the highest common factor of 6797,2564, we have to find the factors of both numbers and list the highest common factor.
The factors of 6797 are 1, 7, 971, 6797
The factors of 2564 are 1, 2, 4, 641, 1282, 2564
The HCF of 6797,2564 is 1.
Lets's calculate GCF of 6797,2564
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6797,2564 By Matching Biggest Common Factor Method
Now, list down the factors of 6797
:1,7,971,6797
Now, list down the factors of 2564
:1,2,4,641,1282,2564
Greatest Common Factor
We found the factors 6797,2564 . The biggest common factor number is the GCF number.
So the greatest common factor 6797,2564 is 1.
Lets's calculate LCM of 978,9197
Given numbers has no common factors except 1. So, there LCM is their product i.e 8994666
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8994666
Therefore, the GCF of Fractions 6797/978,2564/9197 is 1/8994666
Least Common Multiple of 978,9197 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 978,9197 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,9197) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(978,9197) x common factors =1 x 1 = 1
LCM(978,9197) = ( 978 × 9197 ) / 1
LCM(978,9197) = 8994666 / 1
LCM(978,9197) = 8994666
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 6797/978, 2564/9197
1. What is the HCF of 6797,2564?
The HCF of 6797,2564 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 6797/978, 2564/9197?
Answer: GCF of Numerators as per given numbers 6797/978, 2564/9197 is
GCF of Numerators i.e. for 6797,2564 is 1
LCM of denominators i.e. for 978,9197 is 8994666.
Thus, GCF of Fractions is 1/8994666.Finally, GCF of Fractions for 6797/978, 2564/9197 is 1/8994666.