GCF of 483/294, 974/210
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 483/294, 974/210 i.e 1/1470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 483/294, 974/210.
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 483/294,974/210?
Given fractions are 483/294,974/210
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 483/294,974/210, numerators are 483,974
Denominators are 294,210
The GCF of 483,974 is 1 .
LCM of 294,210 is 1470.
The greatest common factor of 483/294,974/210 = [GCF of 483,974]/[LCM of 294,210]= 1/1470
Therefore, the GCF of 483/294,974/210 is 1/1470.
To find the highest common factor of 483,974, we have to find the factors of both numbers and list the highest common factor.
The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483
The factors of 974 are 1, 2, 487, 974
The HCF of 483,974 is 1.
Lets's calculate GCF of 483,974
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 483,974 By Matching Biggest Common Factor Method
Now, list down the factors of 483
:1,3,7,21,23,69,161,483
Now, list down the factors of 974
:1,2,487,974
Greatest Common Factor
We found the factors 483,974 . The biggest common factor number is the GCF number.
So the greatest common factor 483,974 is 1.
Lets's calculate LCM of 294,210
| 2 | 294, 210 |
| 3 | 147, 105 |
| 7 | 49, 35 |
| 7, 5 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 7 x 5 = 1470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1470
Therefore, the GCF of Fractions 483/294,974/210 is 1/1470
Least Common Multiple of 294,210 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 294,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(294,210) = 42
common factors(in case of two or more numbers have common factors) = 1
GCF(294,210) x common factors =42 x 1 = 42
LCM(294,210) = ( 294 × 210 ) / 42
LCM(294,210) = 61740 / 42
LCM(294,210) = 1470
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FAQs on GCF of Fractions of 483/294, 974/210
1. What is the HCF of 483,974?
The HCF of 483,974 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 483/294, 974/210?
Answer: GCF of Numerators as per given numbers 483/294, 974/210 is
GCF of Numerators i.e. for 483,974 is 1
LCM of denominators i.e. for 294,210 is 1470.
Thus, GCF of Fractions is 1/1470.Finally, GCF of Fractions for 483/294, 974/210 is 1/1470.