GCF of 849/233, 780/806, 957/389
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 849/233, 780/806, 957/389 i.e 3/73053422 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/233, 780/806, 957/389.
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 849/233,780/806,957/389?
Given fractions are 849/233,780/806,957/389
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 849/233,780/806,957/389, numerators are 849,780,957
Denominators are 233,806,389
The GCF of 849,780,957 is 3 .
LCM of 233,806,389 is 73053422.
The greatest common factor of 849/233,780/806,957/389 = [GCF of 849,780,957]/[LCM of 233,806,389]= 3/73053422
Therefore, the GCF of 849/233,780/806,957/389 is 3/73053422.
To find the highest common factor of 849,780,957, we have to find the factors of both numbers and list the highest common factor.
The factors of 849 are 1, 3, 283, 849
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 957 are 1, 3, 11, 29, 33, 87, 319, 957
The HCF of 849,780,957 is 3.
Lets's calculate GCF of 849,780,957
| 3 | 849, 780, 957 |
| 283, 260, 319 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 849,780,957 By Matching Biggest Common Factor Method
Now, list down the factors of 849
:1,3,283,849
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 957
:1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 849,780,957 . The biggest common factor number is the GCF number.
So the greatest common factor 849,780,957 is 3.
Lets's calculate LCM of 233,806,389
Given numbers has no common factors except 1. So, there LCM is their product i.e 73053422
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/73053422
Therefore, the GCF of Fractions 849/233,780/806,957/389 is 3/73053422
Least Common Multiple of 233,806,389 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 233,806,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(233,806,389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(233,806,389) x common factors =1 x 1 = 1
LCM(233,806,389) = ( 233 × 806 × 389 ) / 1
LCM(233,806,389) = 73053422 / 1
LCM(233,806,389) = 73053422
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 849/233, 780/806, 957/389
1. What is the HCF of 849,780,957?
The HCF of 849,780,957 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 849/233, 780/806, 957/389?
Answer: GCF of Numerators as per given numbers 849/233, 780/806, 957/389 is
GCF of Numerators i.e. for 849,780,957 is 3
LCM of denominators i.e. for 233,806,389 is 73053422.
Thus, GCF of Fractions is 3/73053422.Finally, GCF of Fractions for 849/233, 780/806, 957/389 is 3/73053422.