GCF of 8204/902, 5632/6667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8204/902, 5632/6667 i.e 4/6013634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8204/902, 5632/6667.
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 8204/902,5632/6667?
Given fractions are 8204/902,5632/6667
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 8204/902,5632/6667, numerators are 8204,5632
Denominators are 902,6667
The GCF of 8204,5632 is 4 .
LCM of 902,6667 is 6013634.
The greatest common factor of 8204/902,5632/6667 = [GCF of 8204,5632]/[LCM of 902,6667]= 4/6013634
Therefore, the GCF of 8204/902,5632/6667 is 4/6013634.
To find the highest common factor of 8204,5632, we have to find the factors of both numbers and list the highest common factor.
The factors of 8204 are 1, 2, 4, 7, 14, 28, 293, 586, 1172, 2051, 4102, 8204
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 8204,5632 is 4.
Lets's calculate GCF of 8204,5632
| 2 | 8204, 5632 |
| 2 | 4102, 2816 |
| 2051, 1408 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8204,5632 By Matching Biggest Common Factor Method
Now, list down the factors of 8204
:1,2,4,7,14,28,293,586,1172,2051,4102,8204
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 8204,5632 . The biggest common factor number is the GCF number.
So the greatest common factor 8204,5632 is 4.
Lets's calculate LCM of 902,6667
Given numbers has no common factors except 1. So, there LCM is their product i.e 6013634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6013634
Therefore, the GCF of Fractions 8204/902,5632/6667 is 4/6013634
Least Common Multiple of 902,6667 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 902,6667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(902,6667) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(902,6667) x common factors =1 x 1 = 1
LCM(902,6667) = ( 902 × 6667 ) / 1
LCM(902,6667) = 6013634 / 1
LCM(902,6667) = 6013634
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FAQs on GCF of Fractions of 8204/902, 5632/6667
1. What is the HCF of 8204,5632?
The HCF of 8204,5632 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 8204/902, 5632/6667?
Answer: GCF of Numerators as per given numbers 8204/902, 5632/6667 is
GCF of Numerators i.e. for 8204,5632 is 4
LCM of denominators i.e. for 902,6667 is 6013634.
Thus, GCF of Fractions is 4/6013634.Finally, GCF of Fractions for 8204/902, 5632/6667 is 4/6013634.