GCF of 2406/735, 5632/8238
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2406/735, 5632/8238 i.e 2/2018310 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2406/735, 5632/8238.
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 2406/735,5632/8238?
Given fractions are 2406/735,5632/8238
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 2406/735,5632/8238, numerators are 2406,5632
Denominators are 735,8238
The GCF of 2406,5632 is 2 .
LCM of 735,8238 is 2018310.
The greatest common factor of 2406/735,5632/8238 = [GCF of 2406,5632]/[LCM of 735,8238]= 2/2018310
Therefore, the GCF of 2406/735,5632/8238 is 2/2018310.
To find the highest common factor of 2406,5632, we have to find the factors of both numbers and list the highest common factor.
The factors of 2406 are 1, 2, 3, 6, 401, 802, 1203, 2406
The factors of 5632 are 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 128, 176, 256, 352, 512, 704, 1408, 2816, 5632
The HCF of 2406,5632 is 2.
Lets's calculate GCF of 2406,5632
| 2 | 2406, 5632 |
| 1203, 2816 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2406,5632 By Matching Biggest Common Factor Method
Now, list down the factors of 2406
:1,2,3,6,401,802,1203,2406
Now, list down the factors of 5632
:1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632
Greatest Common Factor
We found the factors 2406,5632 . The biggest common factor number is the GCF number.
So the greatest common factor 2406,5632 is 2.
Lets's calculate LCM of 735,8238
| 3 | 735, 8238 |
| 245, 2746 |
∴ So the LCM of the given numbers is 3 x 245 x 2746 = 2018310
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2018310
Therefore, the GCF of Fractions 2406/735,5632/8238 is 2/2018310
Least Common Multiple of 735,8238 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 735,8238 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,8238) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(735,8238) x common factors =3 x 1 = 3
LCM(735,8238) = ( 735 × 8238 ) / 3
LCM(735,8238) = 6054930 / 3
LCM(735,8238) = 2018310
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FAQs on GCF of Fractions of 2406/735, 5632/8238
1. What is the HCF of 2406,5632?
The HCF of 2406,5632 is 2
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 2406/735, 5632/8238?
Answer: GCF of Numerators as per given numbers 2406/735, 5632/8238 is
GCF of Numerators i.e. for 2406,5632 is 2
LCM of denominators i.e. for 735,8238 is 2018310.
Thus, GCF of Fractions is 2/2018310.Finally, GCF of Fractions for 2406/735, 5632/8238 is 2/2018310.