GCF of 5324/962, 2481/2405
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5324/962, 2481/2405 i.e 1/4810 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5324/962, 2481/2405.
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 5324/962,2481/2405?
Given fractions are 5324/962,2481/2405
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 5324/962,2481/2405, numerators are 5324,2481
Denominators are 962,2405
The GCF of 5324,2481 is 1 .
LCM of 962,2405 is 4810.
The greatest common factor of 5324/962,2481/2405 = [GCF of 5324,2481]/[LCM of 962,2405]= 1/4810
Therefore, the GCF of 5324/962,2481/2405 is 1/4810.
To find the highest common factor of 5324,2481, we have to find the factors of both numbers and list the highest common factor.
The factors of 5324 are 1, 2, 4, 11, 22, 44, 121, 242, 484, 1331, 2662, 5324
The factors of 2481 are 1, 3, 827, 2481
The HCF of 5324,2481 is 1.
Lets's calculate GCF of 5324,2481
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5324,2481 By Matching Biggest Common Factor Method
Now, list down the factors of 5324
:1,2,4,11,22,44,121,242,484,1331,2662,5324
Now, list down the factors of 2481
:1,3,827,2481
Greatest Common Factor
We found the factors 5324,2481 . The biggest common factor number is the GCF number.
So the greatest common factor 5324,2481 is 1.
Lets's calculate LCM of 962,2405
| 13 | 962, 2405 |
| 37 | 74, 185 |
| 2, 5 |
∴ So the LCM of the given numbers is 13 x 37 x 2 x 5 = 4810
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4810
Therefore, the GCF of Fractions 5324/962,2481/2405 is 1/4810
Least Common Multiple of 962,2405 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 962,2405 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,2405) = 481
common factors(in case of two or more numbers have common factors) = 1
GCF(962,2405) x common factors =481 x 1 = 481
LCM(962,2405) = ( 962 × 2405 ) / 481
LCM(962,2405) = 2313610 / 481
LCM(962,2405) = 4810
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FAQs on GCF of Fractions of 5324/962, 2481/2405
1. What is the HCF of 5324,2481?
The HCF of 5324,2481 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 5324/962, 2481/2405?
Answer: GCF of Numerators as per given numbers 5324/962, 2481/2405 is
GCF of Numerators i.e. for 5324,2481 is 1
LCM of denominators i.e. for 962,2405 is 4810.
Thus, GCF of Fractions is 1/4810.Finally, GCF of Fractions for 5324/962, 2481/2405 is 1/4810.