GCF of 1568/873, 4200/3060
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1568/873, 4200/3060 i.e 56/296820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1568/873, 4200/3060.
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 1568/873,4200/3060?
Given fractions are 1568/873,4200/3060
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 1568/873,4200/3060, numerators are 1568,4200
Denominators are 873,3060
The GCF of 1568,4200 is 56 .
LCM of 873,3060 is 296820.
The greatest common factor of 1568/873,4200/3060 = [GCF of 1568,4200]/[LCM of 873,3060]= 56/296820
Therefore, the GCF of 1568/873,4200/3060 is 56/296820.
To find the highest common factor of 1568,4200, we have to find the factors of both numbers and list the highest common factor.
The factors of 1568 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 98, 112, 196, 224, 392, 784, 1568
The factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200
The HCF of 1568,4200 is 56.
Lets's calculate GCF of 1568,4200
| 2 | 1568, 4200 |
| 2 | 784, 2100 |
| 2 | 392, 1050 |
| 7 | 196, 525 |
| 28, 75 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 7 = 56
Greatest Common Factor of 1568,4200 By Matching Biggest Common Factor Method
Now, list down the factors of 1568
:1,2,4,7,8,14,16,28,32,49,56,98,112,196,224,392,784,1568
Now, list down the factors of 4200
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200
Greatest Common Factor
We found the factors 1568,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 1568,4200 is 56.
Lets's calculate LCM of 873,3060
| 3 | 873, 3060 |
| 3 | 291, 1020 |
| 97, 340 |
∴ So the LCM of the given numbers is 3 x 3 x 97 x 340 = 296820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 56/296820
Therefore, the GCF of Fractions 1568/873,4200/3060 is 56/296820
Least Common Multiple of 873,3060 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 873,3060 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,3060) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(873,3060) x common factors =9 x 1 = 9
LCM(873,3060) = ( 873 × 3060 ) / 9
LCM(873,3060) = 2671380 / 9
LCM(873,3060) = 296820
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FAQs on GCF of Fractions of 1568/873, 4200/3060
1. What is the HCF of 1568,4200?
The HCF of 1568,4200 is 56
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 1568/873, 4200/3060?
Answer: GCF of Numerators as per given numbers 1568/873, 4200/3060 is
GCF of Numerators i.e. for 1568,4200 is 56
LCM of denominators i.e. for 873,3060 is 296820.
Thus, GCF of Fractions is 56/296820.Finally, GCF of Fractions for 1568/873, 4200/3060 is 56/296820.