GCF of 4691/463, 6812/9653
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4691/463, 6812/9653 i.e 1/4469339 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4691/463, 6812/9653.
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 4691/463,6812/9653?
Given fractions are 4691/463,6812/9653
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 4691/463,6812/9653, numerators are 4691,6812
Denominators are 463,9653
The GCF of 4691,6812 is 1 .
LCM of 463,9653 is 4469339.
The greatest common factor of 4691/463,6812/9653 = [GCF of 4691,6812]/[LCM of 463,9653]= 1/4469339
Therefore, the GCF of 4691/463,6812/9653 is 1/4469339.
To find the highest common factor of 4691,6812, we have to find the factors of both numbers and list the highest common factor.
The factors of 4691 are 1, 4691
The factors of 6812 are 1, 2, 4, 13, 26, 52, 131, 262, 524, 1703, 3406, 6812
The HCF of 4691,6812 is 1.
Lets's calculate GCF of 4691,6812
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4691,6812 By Matching Biggest Common Factor Method
Now, list down the factors of 4691
:1,4691
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 4691,6812 . The biggest common factor number is the GCF number.
So the greatest common factor 4691,6812 is 1.
Lets's calculate LCM of 463,9653
Given numbers has no common factors except 1. So, there LCM is their product i.e 4469339
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4469339
Therefore, the GCF of Fractions 4691/463,6812/9653 is 1/4469339
Least Common Multiple of 463,9653 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 463,9653 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(463,9653) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(463,9653) x common factors =1 x 1 = 1
LCM(463,9653) = ( 463 × 9653 ) / 1
LCM(463,9653) = 4469339 / 1
LCM(463,9653) = 4469339
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FAQs on GCF of Fractions of 4691/463, 6812/9653
1. What is the HCF of 4691,6812?
The HCF of 4691,6812 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 4691/463, 6812/9653?
Answer: GCF of Numerators as per given numbers 4691/463, 6812/9653 is
GCF of Numerators i.e. for 4691,6812 is 1
LCM of denominators i.e. for 463,9653 is 4469339.
Thus, GCF of Fractions is 1/4469339.Finally, GCF of Fractions for 4691/463, 6812/9653 is 1/4469339.