GCF of 8635/440, 3608/8168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8635/440, 3608/8168 i.e 11/449240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8635/440, 3608/8168.
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 8635/440,3608/8168?
Given fractions are 8635/440,3608/8168
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 8635/440,3608/8168, numerators are 8635,3608
Denominators are 440,8168
The GCF of 8635,3608 is 11 .
LCM of 440,8168 is 449240.
The greatest common factor of 8635/440,3608/8168 = [GCF of 8635,3608]/[LCM of 440,8168]= 11/449240
Therefore, the GCF of 8635/440,3608/8168 is 11/449240.
To find the highest common factor of 8635,3608, we have to find the factors of both numbers and list the highest common factor.
The factors of 8635 are 1, 5, 11, 55, 157, 785, 1727, 8635
The factors of 3608 are 1, 2, 4, 8, 11, 22, 41, 44, 82, 88, 164, 328, 451, 902, 1804, 3608
The HCF of 8635,3608 is 11.
Lets's calculate GCF of 8635,3608
| 11 | 8635, 3608 |
| 785, 328 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 8635,3608 By Matching Biggest Common Factor Method
Now, list down the factors of 8635
:1,5,11,55,157,785,1727,8635
Now, list down the factors of 3608
:1,2,4,8,11,22,41,44,82,88,164,328,451,902,1804,3608
Greatest Common Factor
We found the factors 8635,3608 . The biggest common factor number is the GCF number.
So the greatest common factor 8635,3608 is 11.
Lets's calculate LCM of 440,8168
| 2 | 440, 8168 |
| 2 | 220, 4084 |
| 2 | 110, 2042 |
| 55, 1021 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 55 x 1021 = 449240
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/449240
Therefore, the GCF of Fractions 8635/440,3608/8168 is 11/449240
Least Common Multiple of 440,8168 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 440,8168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(440,8168) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(440,8168) x common factors =8 x 1 = 8
LCM(440,8168) = ( 440 × 8168 ) / 8
LCM(440,8168) = 3593920 / 8
LCM(440,8168) = 449240
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FAQs on GCF of Fractions of 8635/440, 3608/8168
1. What is the HCF of 8635,3608?
The HCF of 8635,3608 is 11
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 8635/440, 3608/8168?
Answer: GCF of Numerators as per given numbers 8635/440, 3608/8168 is
GCF of Numerators i.e. for 8635,3608 is 11
LCM of denominators i.e. for 440,8168 is 449240.
Thus, GCF of Fractions is 11/449240.Finally, GCF of Fractions for 8635/440, 3608/8168 is 11/449240.