GCF of 6592/649, 1451/9770
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6592/649, 1451/9770 i.e 1/6340730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6592/649, 1451/9770.
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 6592/649,1451/9770?
Given fractions are 6592/649,1451/9770
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 6592/649,1451/9770, numerators are 6592,1451
Denominators are 649,9770
The GCF of 6592,1451 is 1 .
LCM of 649,9770 is 6340730.
The greatest common factor of 6592/649,1451/9770 = [GCF of 6592,1451]/[LCM of 649,9770]= 1/6340730
Therefore, the GCF of 6592/649,1451/9770 is 1/6340730.
To find the highest common factor of 6592,1451, we have to find the factors of both numbers and list the highest common factor.
The factors of 6592 are 1, 2, 4, 8, 16, 32, 64, 103, 206, 412, 824, 1648, 3296, 6592
The factors of 1451 are 1, 1451
The HCF of 6592,1451 is 1.
Lets's calculate GCF of 6592,1451
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6592,1451 By Matching Biggest Common Factor Method
Now, list down the factors of 6592
:1,2,4,8,16,32,64,103,206,412,824,1648,3296,6592
Now, list down the factors of 1451
:1,1451
Greatest Common Factor
We found the factors 6592,1451 . The biggest common factor number is the GCF number.
So the greatest common factor 6592,1451 is 1.
Lets's calculate LCM of 649,9770
Given numbers has no common factors except 1. So, there LCM is their product i.e 6340730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6340730
Therefore, the GCF of Fractions 6592/649,1451/9770 is 1/6340730
Least Common Multiple of 649,9770 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 649,9770 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(649,9770) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(649,9770) x common factors =1 x 1 = 1
LCM(649,9770) = ( 649 × 9770 ) / 1
LCM(649,9770) = 6340730 / 1
LCM(649,9770) = 6340730
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FAQs on GCF of Fractions of 6592/649, 1451/9770
1. What is the HCF of 6592,1451?
The HCF of 6592,1451 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 6592/649, 1451/9770?
Answer: GCF of Numerators as per given numbers 6592/649, 1451/9770 is
GCF of Numerators i.e. for 6592,1451 is 1
LCM of denominators i.e. for 649,9770 is 6340730.
Thus, GCF of Fractions is 1/6340730.Finally, GCF of Fractions for 6592/649, 1451/9770 is 1/6340730.