GCF of 3640/478, 8564/484
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3640/478, 8564/484 i.e 4/115676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3640/478, 8564/484.
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 3640/478,8564/484?
Given fractions are 3640/478,8564/484
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 3640/478,8564/484, numerators are 3640,8564
Denominators are 478,484
The GCF of 3640,8564 is 4 .
LCM of 478,484 is 115676.
The greatest common factor of 3640/478,8564/484 = [GCF of 3640,8564]/[LCM of 478,484]= 4/115676
Therefore, the GCF of 3640/478,8564/484 is 4/115676.
To find the highest common factor of 3640,8564, we have to find the factors of both numbers and list the highest common factor.
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 factors of 8564 are 1, 2, 4, 2141, 4282, 8564
The HCF of 3640,8564 is 4.
Lets's calculate GCF of 3640,8564
| 2 | 3640, 8564 |
| 2 | 1820, 4282 |
| 910, 2141 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 3640,8564 By Matching Biggest Common Factor Method
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
Now, list down the factors of 8564
:1,2,4,2141,4282,8564
Greatest Common Factor
We found the factors 3640,8564 . The biggest common factor number is the GCF number.
So the greatest common factor 3640,8564 is 4.
Lets's calculate LCM of 478,484
| 2 | 478, 484 |
| 239, 242 |
∴ So the LCM of the given numbers is 2 x 239 x 242 = 115676
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/115676
Therefore, the GCF of Fractions 3640/478,8564/484 is 4/115676
Least Common Multiple of 478,484 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 478,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,484) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,484) x common factors =2 x 1 = 2
LCM(478,484) = ( 478 × 484 ) / 2
LCM(478,484) = 231352 / 2
LCM(478,484) = 115676
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FAQs on GCF of Fractions of 3640/478, 8564/484
1. What is the HCF of 3640,8564?
The HCF of 3640,8564 is 4
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 3640/478, 8564/484?
Answer: GCF of Numerators as per given numbers 3640/478, 8564/484 is
GCF of Numerators i.e. for 3640,8564 is 4
LCM of denominators i.e. for 478,484 is 115676.
Thus, GCF of Fractions is 4/115676.Finally, GCF of Fractions for 3640/478, 8564/484 is 4/115676.