GCF of 6470/823, 9721/7076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6470/823, 9721/7076 i.e 1/5823548 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6470/823, 9721/7076.
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 6470/823,9721/7076?
Given fractions are 6470/823,9721/7076
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 6470/823,9721/7076, numerators are 6470,9721
Denominators are 823,7076
The GCF of 6470,9721 is 1 .
LCM of 823,7076 is 5823548.
The greatest common factor of 6470/823,9721/7076 = [GCF of 6470,9721]/[LCM of 823,7076]= 1/5823548
Therefore, the GCF of 6470/823,9721/7076 is 1/5823548.
To find the highest common factor of 6470,9721, we have to find the factors of both numbers and list the highest common factor.
The factors of 6470 are 1, 2, 5, 10, 647, 1294, 3235, 6470
The factors of 9721 are 1, 9721
The HCF of 6470,9721 is 1.
Lets's calculate GCF of 6470,9721
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6470,9721 By Matching Biggest Common Factor Method
Now, list down the factors of 6470
:1,2,5,10,647,1294,3235,6470
Now, list down the factors of 9721
:1,9721
Greatest Common Factor
We found the factors 6470,9721 . The biggest common factor number is the GCF number.
So the greatest common factor 6470,9721 is 1.
Lets's calculate LCM of 823,7076
Given numbers has no common factors except 1. So, there LCM is their product i.e 5823548
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5823548
Therefore, the GCF of Fractions 6470/823,9721/7076 is 1/5823548
Least Common Multiple of 823,7076 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 823,7076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(823,7076) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(823,7076) x common factors =1 x 1 = 1
LCM(823,7076) = ( 823 × 7076 ) / 1
LCM(823,7076) = 5823548 / 1
LCM(823,7076) = 5823548
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FAQs on GCF of Fractions of 6470/823, 9721/7076
1. What is the HCF of 6470,9721?
The HCF of 6470,9721 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 6470/823, 9721/7076?
Answer: GCF of Numerators as per given numbers 6470/823, 9721/7076 is
GCF of Numerators i.e. for 6470,9721 is 1
LCM of denominators i.e. for 823,7076 is 5823548.
Thus, GCF of Fractions is 1/5823548.Finally, GCF of Fractions for 6470/823, 9721/7076 is 1/5823548.