GCF of 433/49, 326/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 433/49, 326/742 i.e 1/5194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/49, 326/742.
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 433/49,326/742?
Given fractions are 433/49,326/742
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 433/49,326/742, numerators are 433,326
Denominators are 49,742
The GCF of 433,326 is 1 .
LCM of 49,742 is 5194.
The greatest common factor of 433/49,326/742 = [GCF of 433,326]/[LCM of 49,742]= 1/5194
Therefore, the GCF of 433/49,326/742 is 1/5194.
To find the highest common factor of 433,326, 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 326 are 1, 2, 163, 326
The HCF of 433,326 is 1.
Lets's calculate GCF of 433,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 433,326 By Matching Biggest Common Factor Method
Now, list down the factors of 433
:1,433
Now, list down the factors of 326
:1,2,163,326
Greatest Common Factor
We found the factors 433,326 . The biggest common factor number is the GCF number.
So the greatest common factor 433,326 is 1.
Lets's calculate LCM of 49,742
| 7 | 49, 742 |
| 7, 106 |
∴ So the LCM of the given numbers is 7 x 7 x 106 = 5194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5194
Therefore, the GCF of Fractions 433/49,326/742 is 1/5194
Least Common Multiple of 49,742 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 49,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(49,742) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(49,742) x common factors =7 x 1 = 7
LCM(49,742) = ( 49 × 742 ) / 7
LCM(49,742) = 36358 / 7
LCM(49,742) = 5194
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FAQs on GCF of Fractions of 433/49, 326/742
1. What is the HCF of 433,326?
The HCF of 433,326 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 433/49, 326/742?
Answer: GCF of Numerators as per given numbers 433/49, 326/742 is
GCF of Numerators i.e. for 433,326 is 1
LCM of denominators i.e. for 49,742 is 5194.
Thus, GCF of Fractions is 1/5194.Finally, GCF of Fractions for 433/49, 326/742 is 1/5194.