GCF of 433/822, 282/486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 433/822, 282/486 i.e 1/66582 easily. The following is the detailed procedure to determine the greatest common factor of fractions 433/822, 282/486.
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 433/822,282/486?
Given fractions are 433/822,282/486
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 433/822,282/486, numerators are 433,282
Denominators are 822,486
The GCF of 433,282 is 1 .
LCM of 822,486 is 66582.
The greatest common factor of 433/822,282/486 = [GCF of 433,282]/[LCM of 822,486]= 1/66582
Therefore, the GCF of 433/822,282/486 is 1/66582.
To find the highest common factor of 433,282, 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 282 are 1, 2, 3, 6, 47, 94, 141, 282
The HCF of 433,282 is 1.
Lets's calculate GCF of 433,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 433,282 By Matching Biggest Common Factor Method
Now, list down the factors of 433
:1,433
Now, list down the factors of 282
:1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 433,282 . The biggest common factor number is the GCF number.
So the greatest common factor 433,282 is 1.
Lets's calculate LCM of 822,486
| 2 | 822, 486 |
| 3 | 411, 243 |
| 137, 81 |
∴ So the LCM of the given numbers is 2 x 3 x 137 x 81 = 66582
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/66582
Therefore, the GCF of Fractions 433/822,282/486 is 1/66582
Least Common Multiple of 822,486 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 822,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(822,486) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(822,486) x common factors =6 x 1 = 6
LCM(822,486) = ( 822 × 486 ) / 6
LCM(822,486) = 399492 / 6
LCM(822,486) = 66582
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FAQs on GCF of Fractions of 433/822, 282/486
1. What is the HCF of 433,282?
The HCF of 433,282 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 433/822, 282/486?
Answer: GCF of Numerators as per given numbers 433/822, 282/486 is
GCF of Numerators i.e. for 433,282 is 1
LCM of denominators i.e. for 822,486 is 66582.
Thus, GCF of Fractions is 1/66582.Finally, GCF of Fractions for 433/822, 282/486 is 1/66582.