GCF of 4996/475, 8142/4472
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4996/475, 8142/4472 i.e 2/2124200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4996/475, 8142/4472.
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 4996/475,8142/4472?
Given fractions are 4996/475,8142/4472
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 4996/475,8142/4472, numerators are 4996,8142
Denominators are 475,4472
The GCF of 4996,8142 is 2 .
LCM of 475,4472 is 2124200.
The greatest common factor of 4996/475,8142/4472 = [GCF of 4996,8142]/[LCM of 475,4472]= 2/2124200
Therefore, the GCF of 4996/475,8142/4472 is 2/2124200.
To find the highest common factor of 4996,8142, we have to find the factors of both numbers and list the highest common factor.
The factors of 4996 are 1, 2, 4, 1249, 2498, 4996
The factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142
The HCF of 4996,8142 is 2.
Lets's calculate GCF of 4996,8142
| 2 | 4996, 8142 |
| 2498, 4071 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4996,8142 By Matching Biggest Common Factor Method
Now, list down the factors of 4996
:1,2,4,1249,2498,4996
Now, list down the factors of 8142
:1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142
Greatest Common Factor
We found the factors 4996,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 4996,8142 is 2.
Lets's calculate LCM of 475,4472
Given numbers has no common factors except 1. So, there LCM is their product i.e 2124200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2124200
Therefore, the GCF of Fractions 4996/475,8142/4472 is 2/2124200
Least Common Multiple of 475,4472 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 475,4472 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(475,4472) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(475,4472) x common factors =1 x 1 = 1
LCM(475,4472) = ( 475 × 4472 ) / 1
LCM(475,4472) = 2124200 / 1
LCM(475,4472) = 2124200
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FAQs on GCF of Fractions of 4996/475, 8142/4472
1. What is the HCF of 4996,8142?
The HCF of 4996,8142 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 4996/475, 8142/4472?
Answer: GCF of Numerators as per given numbers 4996/475, 8142/4472 is
GCF of Numerators i.e. for 4996,8142 is 2
LCM of denominators i.e. for 475,4472 is 2124200.
Thus, GCF of Fractions is 2/2124200.Finally, GCF of Fractions for 4996/475, 8142/4472 is 2/2124200.