GCF of 6440/280, 3654/8273
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6440/280, 3654/8273 i.e 14/2316440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6440/280, 3654/8273.
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 6440/280,3654/8273?
Given fractions are 6440/280,3654/8273
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 6440/280,3654/8273, numerators are 6440,3654
Denominators are 280,8273
The GCF of 6440,3654 is 14 .
LCM of 280,8273 is 2316440.
The greatest common factor of 6440/280,3654/8273 = [GCF of 6440,3654]/[LCM of 280,8273]= 14/2316440
Therefore, the GCF of 6440/280,3654/8273 is 14/2316440.
To find the highest common factor of 6440,3654, we have to find the factors of both numbers and list the highest common factor.
The factors of 6440 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 23, 28, 35, 40, 46, 56, 70, 92, 115, 140, 161, 184, 230, 280, 322, 460, 644, 805, 920, 1288, 1610, 3220, 6440
The factors of 3654 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 58, 63, 87, 126, 174, 203, 261, 406, 522, 609, 1218, 1827, 3654
The HCF of 6440,3654 is 14.
Lets's calculate GCF of 6440,3654
| 2 | 6440, 3654 |
| 7 | 3220, 1827 |
| 460, 261 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6440,3654 By Matching Biggest Common Factor Method
Now, list down the factors of 6440
:1,2,4,5,7,8,10,14,20,23,28,35,40,46,56,70,92,115,140,161,184,230,280,322,460,644,805,920,1288,1610,3220,6440
Now, list down the factors of 3654
:1,2,3,6,7,9,14,18,21,29,42,58,63,87,126,174,203,261,406,522,609,1218,1827,3654
Greatest Common Factor
We found the factors 6440,3654 . The biggest common factor number is the GCF number.
So the greatest common factor 6440,3654 is 14.
Lets's calculate LCM of 280,8273
Given numbers has no common factors except 1. So, there LCM is their product i.e 2316440
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2316440
Therefore, the GCF of Fractions 6440/280,3654/8273 is 14/2316440
Least Common Multiple of 280,8273 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 280,8273 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(280,8273) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(280,8273) x common factors =1 x 1 = 1
LCM(280,8273) = ( 280 × 8273 ) / 1
LCM(280,8273) = 2316440 / 1
LCM(280,8273) = 2316440
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FAQs on GCF of Fractions of 6440/280, 3654/8273
1. What is the HCF of 6440,3654?
The HCF of 6440,3654 is 14
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 6440/280, 3654/8273?
Answer: GCF of Numerators as per given numbers 6440/280, 3654/8273 is
GCF of Numerators i.e. for 6440,3654 is 14
LCM of denominators i.e. for 280,8273 is 2316440.
Thus, GCF of Fractions is 14/2316440.Finally, GCF of Fractions for 6440/280, 3654/8273 is 14/2316440.