GCF of 9461/106, 3507/2423
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9461/106, 3507/2423 i.e 1/256838 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9461/106, 3507/2423.
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 9461/106,3507/2423?
Given fractions are 9461/106,3507/2423
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 9461/106,3507/2423, numerators are 9461,3507
Denominators are 106,2423
The GCF of 9461,3507 is 1 .
LCM of 106,2423 is 256838.
The greatest common factor of 9461/106,3507/2423 = [GCF of 9461,3507]/[LCM of 106,2423]= 1/256838
Therefore, the GCF of 9461/106,3507/2423 is 1/256838.
To find the highest common factor of 9461,3507, we have to find the factors of both numbers and list the highest common factor.
The factors of 9461 are 1, 9461
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
The HCF of 9461,3507 is 1.
Lets's calculate GCF of 9461,3507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9461,3507 By Matching Biggest Common Factor Method
Now, list down the factors of 9461
:1,9461
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
Greatest Common Factor
We found the factors 9461,3507 . The biggest common factor number is the GCF number.
So the greatest common factor 9461,3507 is 1.
Lets's calculate LCM of 106,2423
Given numbers has no common factors except 1. So, there LCM is their product i.e 256838
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/256838
Therefore, the GCF of Fractions 9461/106,3507/2423 is 1/256838
Least Common Multiple of 106,2423 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 106,2423 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,2423) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(106,2423) x common factors =1 x 1 = 1
LCM(106,2423) = ( 106 × 2423 ) / 1
LCM(106,2423) = 256838 / 1
LCM(106,2423) = 256838
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9461/106, 3507/2423
1. What is the HCF of 9461,3507?
The HCF of 9461,3507 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 9461/106, 3507/2423?
Answer: GCF of Numerators as per given numbers 9461/106, 3507/2423 is
GCF of Numerators i.e. for 9461,3507 is 1
LCM of denominators i.e. for 106,2423 is 256838.
Thus, GCF of Fractions is 1/256838.Finally, GCF of Fractions for 9461/106, 3507/2423 is 1/256838.