GCF of 9697/644, 6580/417
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9697/644, 6580/417 i.e 1/268548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9697/644, 6580/417.
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 9697/644,6580/417?
Given fractions are 9697/644,6580/417
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 9697/644,6580/417, numerators are 9697,6580
Denominators are 644,417
The GCF of 9697,6580 is 1 .
LCM of 644,417 is 268548.
The greatest common factor of 9697/644,6580/417 = [GCF of 9697,6580]/[LCM of 644,417]= 1/268548
Therefore, the GCF of 9697/644,6580/417 is 1/268548.
To find the highest common factor of 9697,6580, we have to find the factors of both numbers and list the highest common factor.
The factors of 9697 are 1, 9697
The factors of 6580 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 47, 70, 94, 140, 188, 235, 329, 470, 658, 940, 1316, 1645, 3290, 6580
The HCF of 9697,6580 is 1.
Lets's calculate GCF of 9697,6580
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9697,6580 By Matching Biggest Common Factor Method
Now, list down the factors of 9697
:1,9697
Now, list down the factors of 6580
:1,2,4,5,7,10,14,20,28,35,47,70,94,140,188,235,329,470,658,940,1316,1645,3290,6580
Greatest Common Factor
We found the factors 9697,6580 . The biggest common factor number is the GCF number.
So the greatest common factor 9697,6580 is 1.
Lets's calculate LCM of 644,417
Given numbers has no common factors except 1. So, there LCM is their product i.e 268548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268548
Therefore, the GCF of Fractions 9697/644,6580/417 is 1/268548
Least Common Multiple of 644,417 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 644,417 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(644,417) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(644,417) x common factors =1 x 1 = 1
LCM(644,417) = ( 644 × 417 ) / 1
LCM(644,417) = 268548 / 1
LCM(644,417) = 268548
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FAQs on GCF of Fractions of 9697/644, 6580/417
1. What is the HCF of 9697,6580?
The HCF of 9697,6580 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 9697/644, 6580/417?
Answer: GCF of Numerators as per given numbers 9697/644, 6580/417 is
GCF of Numerators i.e. for 9697,6580 is 1
LCM of denominators i.e. for 644,417 is 268548.
Thus, GCF of Fractions is 1/268548.Finally, GCF of Fractions for 9697/644, 6580/417 is 1/268548.