GCF of 844/418, 432/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 844/418, 432/470 i.e 4/98230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 844/418, 432/470.
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 844/418,432/470?
Given fractions are 844/418,432/470
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 844/418,432/470, numerators are 844,432
Denominators are 418,470
The GCF of 844,432 is 4 .
LCM of 418,470 is 98230.
The greatest common factor of 844/418,432/470 = [GCF of 844,432]/[LCM of 418,470]= 4/98230
Therefore, the GCF of 844/418,432/470 is 4/98230.
To find the highest common factor of 844,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 844 are 1, 2, 4, 211, 422, 844
The factors of 432 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
The HCF of 844,432 is 4.
Lets's calculate GCF of 844,432
| 2 | 844, 432 |
| 2 | 422, 216 |
| 211, 108 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 844,432 By Matching Biggest Common Factor Method
Now, list down the factors of 844
:1,2,4,211,422,844
Now, list down the factors of 432
:1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
Greatest Common Factor
We found the factors 844,432 . The biggest common factor number is the GCF number.
So the greatest common factor 844,432 is 4.
Lets's calculate LCM of 418,470
| 2 | 418, 470 |
| 209, 235 |
∴ So the LCM of the given numbers is 2 x 209 x 235 = 98230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/98230
Therefore, the GCF of Fractions 844/418,432/470 is 4/98230
Least Common Multiple of 418,470 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 418,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(418,470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(418,470) x common factors =2 x 1 = 2
LCM(418,470) = ( 418 × 470 ) / 2
LCM(418,470) = 196460 / 2
LCM(418,470) = 98230
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FAQs on GCF of Fractions of 844/418, 432/470
1. What is the HCF of 844,432?
The HCF of 844,432 is 4
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 844/418, 432/470?
Answer: GCF of Numerators as per given numbers 844/418, 432/470 is
GCF of Numerators i.e. for 844,432 is 4
LCM of denominators i.e. for 418,470 is 98230.
Thus, GCF of Fractions is 4/98230.Finally, GCF of Fractions for 844/418, 432/470 is 4/98230.