GCF of 7920/536, 3201/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7920/536, 3201/870 i.e 33/233160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7920/536, 3201/870.
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 7920/536,3201/870?
Given fractions are 7920/536,3201/870
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 7920/536,3201/870, numerators are 7920,3201
Denominators are 536,870
The GCF of 7920,3201 is 33 .
LCM of 536,870 is 233160.
The greatest common factor of 7920/536,3201/870 = [GCF of 7920,3201]/[LCM of 536,870]= 33/233160
Therefore, the GCF of 7920/536,3201/870 is 33/233160.
To find the highest common factor of 7920,3201, we have to find the factors of both numbers and list the highest common factor.
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 factors of 3201 are 1, 3, 11, 33, 97, 291, 1067, 3201
The HCF of 7920,3201 is 33.
Lets's calculate GCF of 7920,3201
| 3 | 7920, 3201 |
| 11 | 2640, 1067 |
| 240, 97 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Greatest Common Factor of 7920,3201 By Matching Biggest Common Factor Method
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
Now, list down the factors of 3201
:1,3,11,33,97,291,1067,3201
Greatest Common Factor
We found the factors 7920,3201 . The biggest common factor number is the GCF number.
So the greatest common factor 7920,3201 is 33.
Lets's calculate LCM of 536,870
| 2 | 536, 870 |
| 268, 435 |
∴ So the LCM of the given numbers is 2 x 268 x 435 = 233160
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 33/233160
Therefore, the GCF of Fractions 7920/536,3201/870 is 33/233160
Least Common Multiple of 536,870 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 536,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(536,870) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(536,870) x common factors =2 x 1 = 2
LCM(536,870) = ( 536 × 870 ) / 2
LCM(536,870) = 466320 / 2
LCM(536,870) = 233160
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7920/536, 3201/870
1. What is the HCF of 7920,3201?
The HCF of 7920,3201 is 33
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 7920/536, 3201/870?
Answer: GCF of Numerators as per given numbers 7920/536, 3201/870 is
GCF of Numerators i.e. for 7920,3201 is 33
LCM of denominators i.e. for 536,870 is 233160.
Thus, GCF of Fractions is 33/233160.Finally, GCF of Fractions for 7920/536, 3201/870 is 33/233160.