GCF of 9562/340, 8400/8333
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9562/340, 8400/8333 i.e 14/2833220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9562/340, 8400/8333.
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 9562/340,8400/8333?
Given fractions are 9562/340,8400/8333
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 9562/340,8400/8333, numerators are 9562,8400
Denominators are 340,8333
The GCF of 9562,8400 is 14 .
LCM of 340,8333 is 2833220.
The greatest common factor of 9562/340,8400/8333 = [GCF of 9562,8400]/[LCM of 340,8333]= 14/2833220
Therefore, the GCF of 9562/340,8400/8333 is 14/2833220.
To find the highest common factor of 9562,8400, we have to find the factors of both numbers and list the highest common factor.
The factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562
The factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400
The HCF of 9562,8400 is 14.
Lets's calculate GCF of 9562,8400
| 2 | 9562, 8400 |
| 7 | 4781, 4200 |
| 683, 600 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 9562,8400 By Matching Biggest Common Factor Method
Now, list down the factors of 9562
:1,2,7,14,683,1366,4781,9562
Now, list down the factors of 8400
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400
Greatest Common Factor
We found the factors 9562,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 9562,8400 is 14.
Lets's calculate LCM of 340,8333
Given numbers has no common factors except 1. So, there LCM is their product i.e 2833220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/2833220
Therefore, the GCF of Fractions 9562/340,8400/8333 is 14/2833220
Least Common Multiple of 340,8333 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 340,8333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(340,8333) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(340,8333) x common factors =1 x 1 = 1
LCM(340,8333) = ( 340 × 8333 ) / 1
LCM(340,8333) = 2833220 / 1
LCM(340,8333) = 2833220
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FAQs on GCF of Fractions of 9562/340, 8400/8333
1. What is the HCF of 9562,8400?
The HCF of 9562,8400 is 14
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 9562/340, 8400/8333?
Answer: GCF of Numerators as per given numbers 9562/340, 8400/8333 is
GCF of Numerators i.e. for 9562,8400 is 14
LCM of denominators i.e. for 340,8333 is 2833220.
Thus, GCF of Fractions is 14/2833220.Finally, GCF of Fractions for 9562/340, 8400/8333 is 14/2833220.