GCF of 9477/612, 2953/6492
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9477/612, 2953/6492 i.e 1/331092 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9477/612, 2953/6492.
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 9477/612,2953/6492?
Given fractions are 9477/612,2953/6492
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 9477/612,2953/6492, numerators are 9477,2953
Denominators are 612,6492
The GCF of 9477,2953 is 1 .
LCM of 612,6492 is 331092.
The greatest common factor of 9477/612,2953/6492 = [GCF of 9477,2953]/[LCM of 612,6492]= 1/331092
Therefore, the GCF of 9477/612,2953/6492 is 1/331092.
To find the highest common factor of 9477,2953, we have to find the factors of both numbers and list the highest common factor.
The factors of 9477 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 729, 1053, 3159, 9477
The factors of 2953 are 1, 2953
The HCF of 9477,2953 is 1.
Lets's calculate GCF of 9477,2953
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9477,2953 By Matching Biggest Common Factor Method
Now, list down the factors of 9477
:1,3,9,13,27,39,81,117,243,351,729,1053,3159,9477
Now, list down the factors of 2953
:1,2953
Greatest Common Factor
We found the factors 9477,2953 . The biggest common factor number is the GCF number.
So the greatest common factor 9477,2953 is 1.
Lets's calculate LCM of 612,6492
| 2 | 612, 6492 |
| 2 | 306, 3246 |
| 3 | 153, 1623 |
| 51, 541 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 51 x 541 = 331092
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/331092
Therefore, the GCF of Fractions 9477/612,2953/6492 is 1/331092
Least Common Multiple of 612,6492 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 612,6492 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(612,6492) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(612,6492) x common factors =12 x 1 = 12
LCM(612,6492) = ( 612 × 6492 ) / 12
LCM(612,6492) = 3973104 / 12
LCM(612,6492) = 331092
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FAQs on GCF of Fractions of 9477/612, 2953/6492
1. What is the HCF of 9477,2953?
The HCF of 9477,2953 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 9477/612, 2953/6492?
Answer: GCF of Numerators as per given numbers 9477/612, 2953/6492 is
GCF of Numerators i.e. for 9477,2953 is 1
LCM of denominators i.e. for 612,6492 is 331092.
Thus, GCF of Fractions is 1/331092.Finally, GCF of Fractions for 9477/612, 2953/6492 is 1/331092.