GCF of 4090/765, 4772/873
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4090/765, 4772/873 i.e 2/74205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4090/765, 4772/873.
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 4090/765,4772/873?
Given fractions are 4090/765,4772/873
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 4090/765,4772/873, numerators are 4090,4772
Denominators are 765,873
The GCF of 4090,4772 is 2 .
LCM of 765,873 is 74205.
The greatest common factor of 4090/765,4772/873 = [GCF of 4090,4772]/[LCM of 765,873]= 2/74205
Therefore, the GCF of 4090/765,4772/873 is 2/74205.
To find the highest common factor of 4090,4772, we have to find the factors of both numbers and list the highest common factor.
The factors of 4090 are 1, 2, 5, 10, 409, 818, 2045, 4090
The factors of 4772 are 1, 2, 4, 1193, 2386, 4772
The HCF of 4090,4772 is 2.
Lets's calculate GCF of 4090,4772
| 2 | 4090, 4772 |
| 2045, 2386 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4090,4772 By Matching Biggest Common Factor Method
Now, list down the factors of 4090
:1,2,5,10,409,818,2045,4090
Now, list down the factors of 4772
:1,2,4,1193,2386,4772
Greatest Common Factor
We found the factors 4090,4772 . The biggest common factor number is the GCF number.
So the greatest common factor 4090,4772 is 2.
Lets's calculate LCM of 765,873
| 3 | 765, 873 |
| 3 | 255, 291 |
| 85, 97 |
∴ So the LCM of the given numbers is 3 x 3 x 85 x 97 = 74205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/74205
Therefore, the GCF of Fractions 4090/765,4772/873 is 2/74205
Least Common Multiple of 765,873 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 765,873 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(765,873) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(765,873) x common factors =9 x 1 = 9
LCM(765,873) = ( 765 × 873 ) / 9
LCM(765,873) = 667845 / 9
LCM(765,873) = 74205
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FAQs on GCF of Fractions of 4090/765, 4772/873
1. What is the HCF of 4090,4772?
The HCF of 4090,4772 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 4090/765, 4772/873?
Answer: GCF of Numerators as per given numbers 4090/765, 4772/873 is
GCF of Numerators i.e. for 4090,4772 is 2
LCM of denominators i.e. for 765,873 is 74205.
Thus, GCF of Fractions is 2/74205.Finally, GCF of Fractions for 4090/765, 4772/873 is 2/74205.