GCF of 8002/895, 4116/5404
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8002/895, 4116/5404 i.e 2/4836580 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8002/895, 4116/5404.
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 8002/895,4116/5404?
Given fractions are 8002/895,4116/5404
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 8002/895,4116/5404, numerators are 8002,4116
Denominators are 895,5404
The GCF of 8002,4116 is 2 .
LCM of 895,5404 is 4836580.
The greatest common factor of 8002/895,4116/5404 = [GCF of 8002,4116]/[LCM of 895,5404]= 2/4836580
Therefore, the GCF of 8002/895,4116/5404 is 2/4836580.
To find the highest common factor of 8002,4116, we have to find the factors of both numbers and list the highest common factor.
The factors of 8002 are 1, 2, 4001, 8002
The factors of 4116 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 343, 588, 686, 1029, 1372, 2058, 4116
The HCF of 8002,4116 is 2.
Lets's calculate GCF of 8002,4116
| 2 | 8002, 4116 |
| 4001, 2058 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8002,4116 By Matching Biggest Common Factor Method
Now, list down the factors of 8002
:1,2,4001,8002
Now, list down the factors of 4116
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,343,588,686,1029,1372,2058,4116
Greatest Common Factor
We found the factors 8002,4116 . The biggest common factor number is the GCF number.
So the greatest common factor 8002,4116 is 2.
Lets's calculate LCM of 895,5404
Given numbers has no common factors except 1. So, there LCM is their product i.e 4836580
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4836580
Therefore, the GCF of Fractions 8002/895,4116/5404 is 2/4836580
Least Common Multiple of 895,5404 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 895,5404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(895,5404) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(895,5404) x common factors =1 x 1 = 1
LCM(895,5404) = ( 895 × 5404 ) / 1
LCM(895,5404) = 4836580 / 1
LCM(895,5404) = 4836580
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FAQs on GCF of Fractions of 8002/895, 4116/5404
1. What is the HCF of 8002,4116?
The HCF of 8002,4116 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 8002/895, 4116/5404?
Answer: GCF of Numerators as per given numbers 8002/895, 4116/5404 is
GCF of Numerators i.e. for 8002,4116 is 2
LCM of denominators i.e. for 895,5404 is 4836580.
Thus, GCF of Fractions is 2/4836580.Finally, GCF of Fractions for 8002/895, 4116/5404 is 2/4836580.