GCF of 24/776, 120/354, 441/857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 24/776, 120/354, 441/857 i.e 3/117710664 easily. The following is the detailed procedure to determine the greatest common factor of fractions 24/776, 120/354, 441/857.
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 24/776,120/354,441/857?
Given fractions are 24/776,120/354,441/857
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 24/776,120/354,441/857, numerators are 24,120,441
Denominators are 776,354,857
The GCF of 24,120,441 is 3 .
LCM of 776,354,857 is 117710664.
The greatest common factor of 24/776,120/354,441/857 = [GCF of 24,120,441]/[LCM of 776,354,857]= 3/117710664
Therefore, the GCF of 24/776,120/354,441/857 is 3/117710664.
To find the highest common factor of 24,120,441, we have to find the factors of both numbers and list the highest common factor.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24
The factors of 120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
The factors of 441 are 1, 3, 7, 9, 21, 49, 63, 147, 441
The HCF of 24,120,441 is 3.
Lets's calculate GCF of 24,120,441
| 3 | 24, 120, 441 |
| 8, 40, 147 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 24,120,441 By Matching Biggest Common Factor Method
Now, list down the factors of 24
:1,2,3,4,6,8,12,24
Now, list down the factors of 120
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Now, list down the factors of 441
:1,3,7,9,21,49,63,147,441
Greatest Common Factor
We found the factors 24,120,441 . The biggest common factor number is the GCF number.
So the greatest common factor 24,120,441 is 3.
Lets's calculate LCM of 776,354,857
| 2 | 776, 354, 857 |
| 388, 177, 857 |
∴ So the LCM of the given numbers is 2 x 388 x 177 x 857 = 117710664
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/117710664
Therefore, the GCF of Fractions 24/776,120/354,441/857 is 3/117710664
Least Common Multiple of 776,354,857 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 776,354,857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,354,857) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(776,354,857) x common factors =1 x 2 = 2
LCM(776,354,857) = ( 776 × 354 × 857 ) / 2
LCM(776,354,857) = 235421328 / 2
LCM(776,354,857) = 117710664
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FAQs on GCF of Fractions of 24/776, 120/354, 441/857
1. What is the HCF of 24,120,441?
The HCF of 24,120,441 is 3
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 24/776, 120/354, 441/857?
Answer: GCF of Numerators as per given numbers 24/776, 120/354, 441/857 is
GCF of Numerators i.e. for 24,120,441 is 3
LCM of denominators i.e. for 776,354,857 is 117710664.
Thus, GCF of Fractions is 3/117710664.Finally, GCF of Fractions for 24/776, 120/354, 441/857 is 3/117710664.