GCF of 1928/790, 6560/9251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1928/790, 6560/9251 i.e 8/7308290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1928/790, 6560/9251.
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 1928/790,6560/9251?
Given fractions are 1928/790,6560/9251
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 1928/790,6560/9251, numerators are 1928,6560
Denominators are 790,9251
The GCF of 1928,6560 is 8 .
LCM of 790,9251 is 7308290.
The greatest common factor of 1928/790,6560/9251 = [GCF of 1928,6560]/[LCM of 790,9251]= 8/7308290
Therefore, the GCF of 1928/790,6560/9251 is 8/7308290.
To find the highest common factor of 1928,6560, we have to find the factors of both numbers and list the highest common factor.
The factors of 1928 are 1, 2, 4, 8, 241, 482, 964, 1928
The factors of 6560 are 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 41, 80, 82, 160, 164, 205, 328, 410, 656, 820, 1312, 1640, 3280, 6560
The HCF of 1928,6560 is 8.
Lets's calculate GCF of 1928,6560
| 2 | 1928, 6560 |
| 2 | 964, 3280 |
| 2 | 482, 1640 |
| 241, 820 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1928,6560 By Matching Biggest Common Factor Method
Now, list down the factors of 1928
:1,2,4,8,241,482,964,1928
Now, list down the factors of 6560
:1,2,4,5,8,10,16,20,32,40,41,80,82,160,164,205,328,410,656,820,1312,1640,3280,6560
Greatest Common Factor
We found the factors 1928,6560 . The biggest common factor number is the GCF number.
So the greatest common factor 1928,6560 is 8.
Lets's calculate LCM of 790,9251
Given numbers has no common factors except 1. So, there LCM is their product i.e 7308290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7308290
Therefore, the GCF of Fractions 1928/790,6560/9251 is 8/7308290
Least Common Multiple of 790,9251 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 790,9251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(790,9251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(790,9251) x common factors =1 x 1 = 1
LCM(790,9251) = ( 790 × 9251 ) / 1
LCM(790,9251) = 7308290 / 1
LCM(790,9251) = 7308290
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1928/790, 6560/9251
1. What is the HCF of 1928,6560?
The HCF of 1928,6560 is 8
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 1928/790, 6560/9251?
Answer: GCF of Numerators as per given numbers 1928/790, 6560/9251 is
GCF of Numerators i.e. for 1928,6560 is 8
LCM of denominators i.e. for 790,9251 is 7308290.
Thus, GCF of Fractions is 8/7308290.Finally, GCF of Fractions for 1928/790, 6560/9251 is 8/7308290.