GCF of 5063/204, 4208/7167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5063/204, 4208/7167 i.e 1/487356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5063/204, 4208/7167.
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 5063/204,4208/7167?
Given fractions are 5063/204,4208/7167
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 5063/204,4208/7167, numerators are 5063,4208
Denominators are 204,7167
The GCF of 5063,4208 is 1 .
LCM of 204,7167 is 487356.
The greatest common factor of 5063/204,4208/7167 = [GCF of 5063,4208]/[LCM of 204,7167]= 1/487356
Therefore, the GCF of 5063/204,4208/7167 is 1/487356.
To find the highest common factor of 5063,4208, we have to find the factors of both numbers and list the highest common factor.
The factors of 5063 are 1, 61, 83, 5063
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The HCF of 5063,4208 is 1.
Lets's calculate GCF of 5063,4208
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5063,4208 By Matching Biggest Common Factor Method
Now, list down the factors of 5063
:1,61,83,5063
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors 5063,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 5063,4208 is 1.
Lets's calculate LCM of 204,7167
| 3 | 204, 7167 |
| 68, 2389 |
∴ So the LCM of the given numbers is 3 x 68 x 2389 = 487356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/487356
Therefore, the GCF of Fractions 5063/204,4208/7167 is 1/487356
Least Common Multiple of 204,7167 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 204,7167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(204,7167) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(204,7167) x common factors =3 x 1 = 3
LCM(204,7167) = ( 204 × 7167 ) / 3
LCM(204,7167) = 1462068 / 3
LCM(204,7167) = 487356
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5063/204, 4208/7167
1. What is the HCF of 5063,4208?
The HCF of 5063,4208 is 1
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 5063/204, 4208/7167?
Answer: GCF of Numerators as per given numbers 5063/204, 4208/7167 is
GCF of Numerators i.e. for 5063,4208 is 1
LCM of denominators i.e. for 204,7167 is 487356.
Thus, GCF of Fractions is 1/487356.Finally, GCF of Fractions for 5063/204, 4208/7167 is 1/487356.