GCF of 2552/102, 8400/299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2552/102, 8400/299 i.e 8/30498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2552/102, 8400/299.
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 2552/102,8400/299?
Given fractions are 2552/102,8400/299
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 2552/102,8400/299, numerators are 2552,8400
Denominators are 102,299
The GCF of 2552,8400 is 8 .
LCM of 102,299 is 30498.
The greatest common factor of 2552/102,8400/299 = [GCF of 2552,8400]/[LCM of 102,299]= 8/30498
Therefore, the GCF of 2552/102,8400/299 is 8/30498.
To find the highest common factor of 2552,8400, we have to find the factors of both numbers and list the highest common factor.
The factors of 2552 are 1, 2, 4, 8, 11, 22, 29, 44, 58, 88, 116, 232, 319, 638, 1276, 2552
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 2552,8400 is 8.
Lets's calculate GCF of 2552,8400
| 2 | 2552, 8400 |
| 2 | 1276, 4200 |
| 2 | 638, 2100 |
| 319, 1050 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 2552,8400 By Matching Biggest Common Factor Method
Now, list down the factors of 2552
:1,2,4,8,11,22,29,44,58,88,116,232,319,638,1276,2552
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 2552,8400 . The biggest common factor number is the GCF number.
So the greatest common factor 2552,8400 is 8.
Lets's calculate LCM of 102,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 30498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/30498
Therefore, the GCF of Fractions 2552/102,8400/299 is 8/30498
Least Common Multiple of 102,299 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 102,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(102,299) x common factors =1 x 1 = 1
LCM(102,299) = ( 102 × 299 ) / 1
LCM(102,299) = 30498 / 1
LCM(102,299) = 30498
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FAQs on GCF of Fractions of 2552/102, 8400/299
1. What is the HCF of 2552,8400?
The HCF of 2552,8400 is 8
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 2552/102, 8400/299?
Answer: GCF of Numerators as per given numbers 2552/102, 8400/299 is
GCF of Numerators i.e. for 2552,8400 is 8
LCM of denominators i.e. for 102,299 is 30498.
Thus, GCF of Fractions is 8/30498.Finally, GCF of Fractions for 2552/102, 8400/299 is 8/30498.