GCF of 769/784, 240/159, 643/904
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 769/784, 240/159, 643/904 i.e 1/14086128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 769/784, 240/159, 643/904.
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 769/784,240/159,643/904?
Given fractions are 769/784,240/159,643/904
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 769/784,240/159,643/904, numerators are 769,240,643
Denominators are 784,159,904
The GCF of 769,240,643 is 1 .
LCM of 784,159,904 is 14086128.
The greatest common factor of 769/784,240/159,643/904 = [GCF of 769,240,643]/[LCM of 784,159,904]= 1/14086128
Therefore, the GCF of 769/784,240/159,643/904 is 1/14086128.
To find the highest common factor of 769,240,643, we have to find the factors of both numbers and list the highest common factor.
The factors of 769 are 1, 769
The factors of 240 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
The factors of 643 are 1, 643
The HCF of 769,240,643 is 1.
Lets's calculate GCF of 769,240,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 769,240,643 By Matching Biggest Common Factor Method
Now, list down the factors of 769
:1,769
Now, list down the factors of 240
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240
Now, list down the factors of 643
:1,643
Greatest Common Factor
We found the factors 769,240,643 . The biggest common factor number is the GCF number.
So the greatest common factor 769,240,643 is 1.
Lets's calculate LCM of 784,159,904
| 2 | 784, 159, 904 |
| 2 | 392, 159, 452 |
| 2 | 196, 159, 226 |
| 98, 159, 113 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 98 x 159 x 113 = 14086128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14086128
Therefore, the GCF of Fractions 769/784,240/159,643/904 is 1/14086128
Least Common Multiple of 784,159,904 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 784,159,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,159,904) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(784,159,904) x common factors =1 x 8 = 8
LCM(784,159,904) = ( 784 × 159 × 904 ) / 8
LCM(784,159,904) = 112689024 / 8
LCM(784,159,904) = 14086128
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 769/784, 240/159, 643/904
1. What is the HCF of 769,240,643?
The HCF of 769,240,643 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 769/784, 240/159, 643/904?
Answer: GCF of Numerators as per given numbers 769/784, 240/159, 643/904 is
GCF of Numerators i.e. for 769,240,643 is 1
LCM of denominators i.e. for 784,159,904 is 14086128.
Thus, GCF of Fractions is 1/14086128.Finally, GCF of Fractions for 769/784, 240/159, 643/904 is 1/14086128.