GCF of 5504/540, 9659/5820
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5504/540, 9659/5820 i.e 1/52380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5504/540, 9659/5820.
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 5504/540,9659/5820?
Given fractions are 5504/540,9659/5820
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 5504/540,9659/5820, numerators are 5504,9659
Denominators are 540,5820
The GCF of 5504,9659 is 1 .
LCM of 540,5820 is 52380.
The greatest common factor of 5504/540,9659/5820 = [GCF of 5504,9659]/[LCM of 540,5820]= 1/52380
Therefore, the GCF of 5504/540,9659/5820 is 1/52380.
To find the highest common factor of 5504,9659, we have to find the factors of both numbers and list the highest common factor.
The factors of 5504 are 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 344, 688, 1376, 2752, 5504
The factors of 9659 are 1, 13, 743, 9659
The HCF of 5504,9659 is 1.
Lets's calculate GCF of 5504,9659
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5504,9659 By Matching Biggest Common Factor Method
Now, list down the factors of 5504
:1,2,4,8,16,32,43,64,86,128,172,344,688,1376,2752,5504
Now, list down the factors of 9659
:1,13,743,9659
Greatest Common Factor
We found the factors 5504,9659 . The biggest common factor number is the GCF number.
So the greatest common factor 5504,9659 is 1.
Lets's calculate LCM of 540,5820
| 2 | 540, 5820 |
| 2 | 270, 2910 |
| 3 | 135, 1455 |
| 5 | 45, 485 |
| 9, 97 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 9 x 97 = 52380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/52380
Therefore, the GCF of Fractions 5504/540,9659/5820 is 1/52380
Least Common Multiple of 540,5820 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 540,5820 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(540,5820) = 60
common factors(in case of two or more numbers have common factors) = 1
GCF(540,5820) x common factors =60 x 1 = 60
LCM(540,5820) = ( 540 × 5820 ) / 60
LCM(540,5820) = 3142800 / 60
LCM(540,5820) = 52380
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FAQs on GCF of Fractions of 5504/540, 9659/5820
1. What is the HCF of 5504,9659?
The HCF of 5504,9659 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 5504/540, 9659/5820?
Answer: GCF of Numerators as per given numbers 5504/540, 9659/5820 is
GCF of Numerators i.e. for 5504,9659 is 1
LCM of denominators i.e. for 540,5820 is 52380.
Thus, GCF of Fractions is 1/52380.Finally, GCF of Fractions for 5504/540, 9659/5820 is 1/52380.