GCF of 842/40, 448/60, 432/23
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 842/40, 448/60, 432/23 i.e 2/2760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 842/40, 448/60, 432/23.
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 842/40,448/60,432/23?
Given fractions are 842/40,448/60,432/23
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 842/40,448/60,432/23, numerators are 842,448,432
Denominators are 40,60,23
The GCF of 842,448,432 is 2 .
LCM of 40,60,23 is 2760.
The greatest common factor of 842/40,448/60,432/23 = [GCF of 842,448,432]/[LCM of 40,60,23]= 2/2760
Therefore, the GCF of 842/40,448/60,432/23 is 2/2760.
To find the highest common factor of 842,448,432, we have to find the factors of both numbers and list the highest common factor.
The factors of 842 are 1, 2, 421, 842
The factors of 448 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
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 842,448,432 is 2.
Lets's calculate GCF of 842,448,432
| 2 | 842, 448, 432 |
| 421, 224, 216 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 842,448,432 By Matching Biggest Common Factor Method
Now, list down the factors of 842
:1,2,421,842
Now, list down the factors of 448
:1,2,4,7,8,14,16,28,32,56,64,112,224,448
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 842,448,432 . The biggest common factor number is the GCF number.
So the greatest common factor 842,448,432 is 2.
Lets's calculate LCM of 40,60,23
| 2 | 40, 60, 23 |
| 2 | 20, 30, 23 |
| 5 | 10, 15, 23 |
| 2, 3, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 2 x 3 x 23 = 2760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2760
Therefore, the GCF of Fractions 842/40,448/60,432/23 is 2/2760
Least Common Multiple of 40,60,23 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 40,60,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,60,23) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(40,60,23) x common factors =1 x 20 = 20
LCM(40,60,23) = ( 40 × 60 × 23 ) / 20
LCM(40,60,23) = 55200 / 20
LCM(40,60,23) = 2760
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FAQs on GCF of Fractions of 842/40, 448/60, 432/23
1. What is the HCF of 842,448,432?
The HCF of 842,448,432 is 2
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 842/40, 448/60, 432/23?
Answer: GCF of Numerators as per given numbers 842/40, 448/60, 432/23 is
GCF of Numerators i.e. for 842,448,432 is 2
LCM of denominators i.e. for 40,60,23 is 2760.
Thus, GCF of Fractions is 2/2760.Finally, GCF of Fractions for 842/40, 448/60, 432/23 is 2/2760.