Use our free GCF of Fractions Calculator tool to compute the GCF of 3160/585, 7920/250 i.e 40/29250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3160/585, 7920/250.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3160/585,7920/250
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 3160/585,7920/250, numerators are 3160,7920
Denominators are 585,250
The GCF of 3160,7920 is 40 .
LCM of 585,250 is 29250.
The greatest common factor of 3160/585,7920/250 = [GCF of 3160,7920]/[LCM of 585,250]= 40/29250
Therefore, the GCF of 3160/585,7920/250 is 40/29250.
To find the highest common factor of 3160,7920, we have to find the factors of both numbers and list the highest common factor.
The factors of 3160 are 1, 2, 4, 5, 8, 10, 20, 40, 79, 158, 316, 395, 632, 790, 1580, 3160
The factors of 7920 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 16, 18, 20, 22, 24, 30, 33, 36, 40, 44, 45, 48, 55, 60, 66, 72, 80, 88, 90, 99, 110, 120, 132, 144, 165, 176, 180, 198, 220, 240, 264, 330, 360, 396, 440, 495, 528, 660, 720, 792, 880, 990, 1320, 1584, 1980, 2640, 3960, 7920
The HCF of 3160,7920 is 40.
Lets's calculate GCF of 3160,7920
2 | 3160, 7920 |
2 | 1580, 3960 |
2 | 790, 1980 |
5 | 395, 990 |
79, 198 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40
Now, list down the factors of 3160
:1,2,4,5,8,10,20,40,79,158,316,395,632,790,1580,3160
Now, list down the factors of 7920
:1,2,3,4,5,6,8,9,10,11,12,15,16,18,20,22,24,30,33,36,40,44,45,48,55,60,66,72,80,88,90,99,110,120,132,144,165,176,180,198,220,240,264,330,360,396,440,495,528,660,720,792,880,990,1320,1584,1980,2640,3960,7920
Greatest Common Factor
We found the factors 3160,7920 . The biggest common factor number is the GCF number.
So the greatest common factor 3160,7920 is 40.
Lets's calculate LCM of 585,250
5 | 585, 250 |
117, 50 |
∴ So the LCM of the given numbers is 5 x 117 x 50 = 29250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/29250
Therefore, the GCF of Fractions 3160/585,7920/250 is 40/29250
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 585,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(585,250) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(585,250) x common factors =5 x 1 = 5
LCM(585,250) = ( 585 × 250 ) / 5
LCM(585,250) = 146250 / 5
LCM(585,250) = 29250
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3160,7920?
The HCF of 3160,7920 is 40
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 3160/585, 7920/250?
Answer: GCF of Numerators as per given numbers 3160/585, 7920/250 is
GCF of Numerators i.e. for 3160,7920 is 40
LCM of denominators i.e. for 585,250 is 29250.
Thus, GCF of Fractions is 40/29250.Finally, GCF of Fractions for 3160/585, 7920/250 is 40/29250.