GCF of 433/30, 251/378
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 433/30, 251/378 i.e 1/1890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/30, 251/378.
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 433/30,251/378?
Given fractions are 433/30,251/378
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 433/30,251/378, numerators are 433,251
Denominators are 30,378
The GCF of 433,251 is 1 .
LCM of 30,378 is 1890.
The greatest common factor of 433/30,251/378 = [GCF of 433,251]/[LCM of 30,378]= 1/1890
Therefore, the GCF of 433/30,251/378 is 1/1890.
To find the highest common factor of 433,251, we have to find the factors of both numbers and list the highest common factor.
The factors of 433 are 1, 433
The factors of 251 are 1, 251
The HCF of 433,251 is 1.
Lets's calculate GCF of 433,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 433,251 By Matching Biggest Common Factor Method
Now, list down the factors of 433
:1,433
Now, list down the factors of 251
:1,251
Greatest Common Factor
We found the factors 433,251 . The biggest common factor number is the GCF number.
So the greatest common factor 433,251 is 1.
Lets's calculate LCM of 30,378
| 2 | 30, 378 |
| 3 | 15, 189 |
| 5, 63 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 63 = 1890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1890
Therefore, the GCF of Fractions 433/30,251/378 is 1/1890
Least Common Multiple of 30,378 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 30,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,378) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(30,378) x common factors =6 x 1 = 6
LCM(30,378) = ( 30 × 378 ) / 6
LCM(30,378) = 11340 / 6
LCM(30,378) = 1890
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FAQs on GCF of Fractions of 433/30, 251/378
1. What is the HCF of 433,251?
The HCF of 433,251 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 433/30, 251/378?
Answer: GCF of Numerators as per given numbers 433/30, 251/378 is
GCF of Numerators i.e. for 433,251 is 1
LCM of denominators i.e. for 30,378 is 1890.
Thus, GCF of Fractions is 1/1890.Finally, GCF of Fractions for 433/30, 251/378 is 1/1890.