GCF of 531/333, 1950/435
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 531/333, 1950/435 i.e 3/48285 easily. The following is the detailed procedure to determine the greatest common factor of fractions 531/333, 1950/435.
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 531/333,1950/435?
Given fractions are 531/333,1950/435
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 531/333,1950/435, numerators are 531,1950
Denominators are 333,435
The GCF of 531,1950 is 3 .
LCM of 333,435 is 48285.
The greatest common factor of 531/333,1950/435 = [GCF of 531,1950]/[LCM of 333,435]= 3/48285
Therefore, the GCF of 531/333,1950/435 is 3/48285.
To find the highest common factor of 531,1950, we have to find the factors of both numbers and list the highest common factor.
The factors of 531 are 1, 3, 9, 59, 177, 531
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The HCF of 531,1950 is 3.
Lets's calculate GCF of 531,1950
| 3 | 531, 1950 |
| 177, 650 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 531,1950 By Matching Biggest Common Factor Method
Now, list down the factors of 531
:1,3,9,59,177,531
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Greatest Common Factor
We found the factors 531,1950 . The biggest common factor number is the GCF number.
So the greatest common factor 531,1950 is 3.
Lets's calculate LCM of 333,435
| 3 | 333, 435 |
| 111, 145 |
∴ So the LCM of the given numbers is 3 x 111 x 145 = 48285
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48285
Therefore, the GCF of Fractions 531/333,1950/435 is 3/48285
Least Common Multiple of 333,435 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 333,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,435) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(333,435) x common factors =3 x 1 = 3
LCM(333,435) = ( 333 × 435 ) / 3
LCM(333,435) = 144855 / 3
LCM(333,435) = 48285
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 531/333, 1950/435
1. What is the HCF of 531,1950?
The HCF of 531,1950 is 3
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 531/333, 1950/435?
Answer: GCF of Numerators as per given numbers 531/333, 1950/435 is
GCF of Numerators i.e. for 531,1950 is 3
LCM of denominators i.e. for 333,435 is 48285.
Thus, GCF of Fractions is 3/48285.Finally, GCF of Fractions for 531/333, 1950/435 is 3/48285.