GCF of 9542/361, 3640/3953
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9542/361, 3640/3953 i.e 26/1427033 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9542/361, 3640/3953.
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 9542/361,3640/3953?
Given fractions are 9542/361,3640/3953
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 9542/361,3640/3953, numerators are 9542,3640
Denominators are 361,3953
The GCF of 9542,3640 is 26 .
LCM of 361,3953 is 1427033.
The greatest common factor of 9542/361,3640/3953 = [GCF of 9542,3640]/[LCM of 361,3953]= 26/1427033
Therefore, the GCF of 9542/361,3640/3953 is 26/1427033.
To find the highest common factor of 9542,3640, we have to find the factors of both numbers and list the highest common factor.
The factors of 9542 are 1, 2, 13, 26, 367, 734, 4771, 9542
The factors of 3640 are 1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 26, 28, 35, 40, 52, 56, 65, 70, 91, 104, 130, 140, 182, 260, 280, 364, 455, 520, 728, 910, 1820, 3640
The HCF of 9542,3640 is 26.
Lets's calculate GCF of 9542,3640
| 2 | 9542, 3640 |
| 13 | 4771, 1820 |
| 367, 140 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 9542,3640 By Matching Biggest Common Factor Method
Now, list down the factors of 9542
:1,2,13,26,367,734,4771,9542
Now, list down the factors of 3640
:1,2,4,5,7,8,10,13,14,20,26,28,35,40,52,56,65,70,91,104,130,140,182,260,280,364,455,520,728,910,1820,3640
Greatest Common Factor
We found the factors 9542,3640 . The biggest common factor number is the GCF number.
So the greatest common factor 9542,3640 is 26.
Lets's calculate LCM of 361,3953
Given numbers has no common factors except 1. So, there LCM is their product i.e 1427033
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1427033
Therefore, the GCF of Fractions 9542/361,3640/3953 is 26/1427033
Least Common Multiple of 361,3953 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 361,3953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(361,3953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(361,3953) x common factors =1 x 1 = 1
LCM(361,3953) = ( 361 × 3953 ) / 1
LCM(361,3953) = 1427033 / 1
LCM(361,3953) = 1427033
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FAQs on GCF of Fractions of 9542/361, 3640/3953
1. What is the HCF of 9542,3640?
The HCF of 9542,3640 is 26
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 9542/361, 3640/3953?
Answer: GCF of Numerators as per given numbers 9542/361, 3640/3953 is
GCF of Numerators i.e. for 9542,3640 is 26
LCM of denominators i.e. for 361,3953 is 1427033.
Thus, GCF of Fractions is 26/1427033.Finally, GCF of Fractions for 9542/361, 3640/3953 is 26/1427033.