GCF of 9464/653, 4821/8263
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9464/653, 4821/8263 i.e 1/5395739 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9464/653, 4821/8263.
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 9464/653,4821/8263?
Given fractions are 9464/653,4821/8263
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 9464/653,4821/8263, numerators are 9464,4821
Denominators are 653,8263
The GCF of 9464,4821 is 1 .
LCM of 653,8263 is 5395739.
The greatest common factor of 9464/653,4821/8263 = [GCF of 9464,4821]/[LCM of 653,8263]= 1/5395739
Therefore, the GCF of 9464/653,4821/8263 is 1/5395739.
To find the highest common factor of 9464,4821, we have to find the factors of both numbers and list the highest common factor.
The factors of 9464 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 169, 182, 338, 364, 676, 728, 1183, 1352, 2366, 4732, 9464
The factors of 4821 are 1, 3, 1607, 4821
The HCF of 9464,4821 is 1.
Lets's calculate GCF of 9464,4821
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9464,4821 By Matching Biggest Common Factor Method
Now, list down the factors of 9464
:1,2,4,7,8,13,14,26,28,52,56,91,104,169,182,338,364,676,728,1183,1352,2366,4732,9464
Now, list down the factors of 4821
:1,3,1607,4821
Greatest Common Factor
We found the factors 9464,4821 . The biggest common factor number is the GCF number.
So the greatest common factor 9464,4821 is 1.
Lets's calculate LCM of 653,8263
Given numbers has no common factors except 1. So, there LCM is their product i.e 5395739
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5395739
Therefore, the GCF of Fractions 9464/653,4821/8263 is 1/5395739
Least Common Multiple of 653,8263 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 653,8263 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(653,8263) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(653,8263) x common factors =1 x 1 = 1
LCM(653,8263) = ( 653 × 8263 ) / 1
LCM(653,8263) = 5395739 / 1
LCM(653,8263) = 5395739
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9464/653, 4821/8263
1. What is the HCF of 9464,4821?
The HCF of 9464,4821 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 9464/653, 4821/8263?
Answer: GCF of Numerators as per given numbers 9464/653, 4821/8263 is
GCF of Numerators i.e. for 9464,4821 is 1
LCM of denominators i.e. for 653,8263 is 5395739.
Thus, GCF of Fractions is 1/5395739.Finally, GCF of Fractions for 9464/653, 4821/8263 is 1/5395739.