GCF of 790/577, 4774/889
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 790/577, 4774/889 i.e 2/512953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 790/577, 4774/889.
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 790/577,4774/889?
Given fractions are 790/577,4774/889
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 790/577,4774/889, numerators are 790,4774
Denominators are 577,889
The GCF of 790,4774 is 2 .
LCM of 577,889 is 512953.
The greatest common factor of 790/577,4774/889 = [GCF of 790,4774]/[LCM of 577,889]= 2/512953
Therefore, the GCF of 790/577,4774/889 is 2/512953.
To find the highest common factor of 790,4774, we have to find the factors of both numbers and list the highest common factor.
The factors of 790 are 1, 2, 5, 10, 79, 158, 395, 790
The factors of 4774 are 1, 2, 7, 11, 14, 22, 31, 62, 77, 154, 217, 341, 434, 682, 2387, 4774
The HCF of 790,4774 is 2.
Lets's calculate GCF of 790,4774
| 2 | 790, 4774 |
| 395, 2387 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 790,4774 By Matching Biggest Common Factor Method
Now, list down the factors of 790
:1,2,5,10,79,158,395,790
Now, list down the factors of 4774
:1,2,7,11,14,22,31,62,77,154,217,341,434,682,2387,4774
Greatest Common Factor
We found the factors 790,4774 . The biggest common factor number is the GCF number.
So the greatest common factor 790,4774 is 2.
Lets's calculate LCM of 577,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 512953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/512953
Therefore, the GCF of Fractions 790/577,4774/889 is 2/512953
Least Common Multiple of 577,889 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 577,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,889) x common factors =1 x 1 = 1
LCM(577,889) = ( 577 × 889 ) / 1
LCM(577,889) = 512953 / 1
LCM(577,889) = 512953
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 790/577, 4774/889
1. What is the HCF of 790,4774?
The HCF of 790,4774 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 790/577, 4774/889?
Answer: GCF of Numerators as per given numbers 790/577, 4774/889 is
GCF of Numerators i.e. for 790,4774 is 2
LCM of denominators i.e. for 577,889 is 512953.
Thus, GCF of Fractions is 2/512953.Finally, GCF of Fractions for 790/577, 4774/889 is 2/512953.