GCF of 9647/534, 6812/4913
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9647/534, 6812/4913 i.e 1/2623542 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9647/534, 6812/4913.
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 9647/534,6812/4913?
Given fractions are 9647/534,6812/4913
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 9647/534,6812/4913, numerators are 9647,6812
Denominators are 534,4913
The GCF of 9647,6812 is 1 .
LCM of 534,4913 is 2623542.
The greatest common factor of 9647/534,6812/4913 = [GCF of 9647,6812]/[LCM of 534,4913]= 1/2623542
Therefore, the GCF of 9647/534,6812/4913 is 1/2623542.
To find the highest common factor of 9647,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 9647 are 1, 11, 877, 9647
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 9647,6812 is 1.
Lets's calculate GCF of 9647,6812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9647,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 9647
:1,11,877,9647
Now, list down the factors of 6812
:1,2,4,13,26,52,131,262,524,1703,3406,6812
Greatest Common Factor
We found the factors 9647,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 9647,6812 is 1.
Lets's calculate LCM of 534,4913
Given numbers has no common factors except 1. So, there LCM is their product i.e 2623542
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2623542
Therefore, the GCF of Fractions 9647/534,6812/4913 is 1/2623542
Least Common Multiple of 534,4913 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 534,4913 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(534,4913) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(534,4913) x common factors =1 x 1 = 1
LCM(534,4913) = ( 534 × 4913 ) / 1
LCM(534,4913) = 2623542 / 1
LCM(534,4913) = 2623542
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FAQs on GCF of Fractions of 9647/534, 6812/4913
1. What is the HCF of 9647,6812?
The HCF of 9647,6812 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 9647/534, 6812/4913?
Answer: GCF of Numerators as per given numbers 9647/534, 6812/4913 is
GCF of Numerators i.e. for 9647,6812 is 1
LCM of denominators i.e. for 534,4913 is 2623542.
Thus, GCF of Fractions is 1/2623542.Finally, GCF of Fractions for 9647/534, 6812/4913 is 1/2623542.