GCF of 4531/318, 4048/570
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4531/318, 4048/570 i.e 23/30210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4531/318, 4048/570.
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 4531/318,4048/570?
Given fractions are 4531/318,4048/570
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 4531/318,4048/570, numerators are 4531,4048
Denominators are 318,570
The GCF of 4531,4048 is 23 .
LCM of 318,570 is 30210.
The greatest common factor of 4531/318,4048/570 = [GCF of 4531,4048]/[LCM of 318,570]= 23/30210
Therefore, the GCF of 4531/318,4048/570 is 23/30210.
To find the highest common factor of 4531,4048, we have to find the factors of both numbers and list the highest common factor.
The factors of 4531 are 1, 23, 197, 4531
The factors of 4048 are 1, 2, 4, 8, 11, 16, 22, 23, 44, 46, 88, 92, 176, 184, 253, 368, 506, 1012, 2024, 4048
The HCF of 4531,4048 is 23.
Lets's calculate GCF of 4531,4048
| 23 | 4531, 4048 |
| 197, 176 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 4531,4048 By Matching Biggest Common Factor Method
Now, list down the factors of 4531
:1,23,197,4531
Now, list down the factors of 4048
:1,2,4,8,11,16,22,23,44,46,88,92,176,184,253,368,506,1012,2024,4048
Greatest Common Factor
We found the factors 4531,4048 . The biggest common factor number is the GCF number.
So the greatest common factor 4531,4048 is 23.
Lets's calculate LCM of 318,570
| 2 | 318, 570 |
| 3 | 159, 285 |
| 53, 95 |
∴ So the LCM of the given numbers is 2 x 3 x 53 x 95 = 30210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/30210
Therefore, the GCF of Fractions 4531/318,4048/570 is 23/30210
Least Common Multiple of 318,570 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 318,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(318,570) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(318,570) x common factors =6 x 1 = 6
LCM(318,570) = ( 318 × 570 ) / 6
LCM(318,570) = 181260 / 6
LCM(318,570) = 30210
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4531/318, 4048/570
1. What is the HCF of 4531,4048?
The HCF of 4531,4048 is 23
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 4531/318, 4048/570?
Answer: GCF of Numerators as per given numbers 4531/318, 4048/570 is
GCF of Numerators i.e. for 4531,4048 is 23
LCM of denominators i.e. for 318,570 is 30210.
Thus, GCF of Fractions is 23/30210.Finally, GCF of Fractions for 4531/318, 4048/570 is 23/30210.