GCF of 9438/975, 8454/5669
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9438/975, 8454/5669 i.e 6/5527275 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9438/975, 8454/5669.
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 9438/975,8454/5669?
Given fractions are 9438/975,8454/5669
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 9438/975,8454/5669, numerators are 9438,8454
Denominators are 975,5669
The GCF of 9438,8454 is 6 .
LCM of 975,5669 is 5527275.
The greatest common factor of 9438/975,8454/5669 = [GCF of 9438,8454]/[LCM of 975,5669]= 6/5527275
Therefore, the GCF of 9438/975,8454/5669 is 6/5527275.
To find the highest common factor of 9438,8454, we have to find the factors of both numbers and list the highest common factor.
The factors of 9438 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 121, 143, 242, 286, 363, 429, 726, 858, 1573, 3146, 4719, 9438
The factors of 8454 are 1, 2, 3, 6, 1409, 2818, 4227, 8454
The HCF of 9438,8454 is 6.
Lets's calculate GCF of 9438,8454
| 2 | 9438, 8454 |
| 3 | 4719, 4227 |
| 1573, 1409 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9438,8454 By Matching Biggest Common Factor Method
Now, list down the factors of 9438
:1,2,3,6,11,13,22,26,33,39,66,78,121,143,242,286,363,429,726,858,1573,3146,4719,9438
Now, list down the factors of 8454
:1,2,3,6,1409,2818,4227,8454
Greatest Common Factor
We found the factors 9438,8454 . The biggest common factor number is the GCF number.
So the greatest common factor 9438,8454 is 6.
Lets's calculate LCM of 975,5669
Given numbers has no common factors except 1. So, there LCM is their product i.e 5527275
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/5527275
Therefore, the GCF of Fractions 9438/975,8454/5669 is 6/5527275
Least Common Multiple of 975,5669 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 975,5669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,5669) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(975,5669) x common factors =1 x 1 = 1
LCM(975,5669) = ( 975 × 5669 ) / 1
LCM(975,5669) = 5527275 / 1
LCM(975,5669) = 5527275
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9438/975, 8454/5669
1. What is the HCF of 9438,8454?
The HCF of 9438,8454 is 6
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 9438/975, 8454/5669?
Answer: GCF of Numerators as per given numbers 9438/975, 8454/5669 is
GCF of Numerators i.e. for 9438,8454 is 6
LCM of denominators i.e. for 975,5669 is 5527275.
Thus, GCF of Fractions is 6/5527275.Finally, GCF of Fractions for 9438/975, 8454/5669 is 6/5527275.