GCF of 1572/996, 4800/891
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1572/996, 4800/891 i.e 12/295812 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1572/996, 4800/891.
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 1572/996,4800/891?
Given fractions are 1572/996,4800/891
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 1572/996,4800/891, numerators are 1572,4800
Denominators are 996,891
The GCF of 1572,4800 is 12 .
LCM of 996,891 is 295812.
The greatest common factor of 1572/996,4800/891 = [GCF of 1572,4800]/[LCM of 996,891]= 12/295812
Therefore, the GCF of 1572/996,4800/891 is 12/295812.
To find the highest common factor of 1572,4800, we have to find the factors of both numbers and list the highest common factor.
The factors of 1572 are 1, 2, 3, 4, 6, 12, 131, 262, 393, 524, 786, 1572
The factors of 4800 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 25, 30, 32, 40, 48, 50, 60, 64, 75, 80, 96, 100, 120, 150, 160, 192, 200, 240, 300, 320, 400, 480, 600, 800, 960, 1200, 1600, 2400, 4800
The HCF of 1572,4800 is 12.
Lets's calculate GCF of 1572,4800
| 2 | 1572, 4800 |
| 2 | 786, 2400 |
| 3 | 393, 1200 |
| 131, 400 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1572,4800 By Matching Biggest Common Factor Method
Now, list down the factors of 1572
:1,2,3,4,6,12,131,262,393,524,786,1572
Now, list down the factors of 4800
:1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,64,75,80,96,100,120,150,160,192,200,240,300,320,400,480,600,800,960,1200,1600,2400,4800
Greatest Common Factor
We found the factors 1572,4800 . The biggest common factor number is the GCF number.
So the greatest common factor 1572,4800 is 12.
Lets's calculate LCM of 996,891
| 3 | 996, 891 |
| 332, 297 |
∴ So the LCM of the given numbers is 3 x 332 x 297 = 295812
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/295812
Therefore, the GCF of Fractions 1572/996,4800/891 is 12/295812
Least Common Multiple of 996,891 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 996,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(996,891) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(996,891) x common factors =3 x 1 = 3
LCM(996,891) = ( 996 × 891 ) / 3
LCM(996,891) = 887436 / 3
LCM(996,891) = 295812
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FAQs on GCF of Fractions of 1572/996, 4800/891
1. What is the HCF of 1572,4800?
The HCF of 1572,4800 is 12
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 1572/996, 4800/891?
Answer: GCF of Numerators as per given numbers 1572/996, 4800/891 is
GCF of Numerators i.e. for 1572,4800 is 12
LCM of denominators i.e. for 996,891 is 295812.
Thus, GCF of Fractions is 12/295812.Finally, GCF of Fractions for 1572/996, 4800/891 is 12/295812.