GCF of 9361/724, 1644/6946
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9361/724, 1644/6946 i.e 1/2514452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9361/724, 1644/6946.
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 9361/724,1644/6946?
Given fractions are 9361/724,1644/6946
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 9361/724,1644/6946, numerators are 9361,1644
Denominators are 724,6946
The GCF of 9361,1644 is 1 .
LCM of 724,6946 is 2514452.
The greatest common factor of 9361/724,1644/6946 = [GCF of 9361,1644]/[LCM of 724,6946]= 1/2514452
Therefore, the GCF of 9361/724,1644/6946 is 1/2514452.
To find the highest common factor of 9361,1644, we have to find the factors of both numbers and list the highest common factor.
The factors of 9361 are 1, 11, 23, 37, 253, 407, 851, 9361
The factors of 1644 are 1, 2, 3, 4, 6, 12, 137, 274, 411, 548, 822, 1644
The HCF of 9361,1644 is 1.
Lets's calculate GCF of 9361,1644
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9361,1644 By Matching Biggest Common Factor Method
Now, list down the factors of 9361
:1,11,23,37,253,407,851,9361
Now, list down the factors of 1644
:1,2,3,4,6,12,137,274,411,548,822,1644
Greatest Common Factor
We found the factors 9361,1644 . The biggest common factor number is the GCF number.
So the greatest common factor 9361,1644 is 1.
Lets's calculate LCM of 724,6946
| 2 | 724, 6946 |
| 362, 3473 |
∴ So the LCM of the given numbers is 2 x 362 x 3473 = 2514452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2514452
Therefore, the GCF of Fractions 9361/724,1644/6946 is 1/2514452
Least Common Multiple of 724,6946 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 724,6946 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,6946) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(724,6946) x common factors =2 x 1 = 2
LCM(724,6946) = ( 724 × 6946 ) / 2
LCM(724,6946) = 5028904 / 2
LCM(724,6946) = 2514452
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FAQs on GCF of Fractions of 9361/724, 1644/6946
1. What is the HCF of 9361,1644?
The HCF of 9361,1644 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 9361/724, 1644/6946?
Answer: GCF of Numerators as per given numbers 9361/724, 1644/6946 is
GCF of Numerators i.e. for 9361,1644 is 1
LCM of denominators i.e. for 724,6946 is 2514452.
Thus, GCF of Fractions is 1/2514452.Finally, GCF of Fractions for 9361/724, 1644/6946 is 1/2514452.