GCF of 8448/856, 6216/2821
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8448/856, 6216/2821 i.e 24/2414776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8448/856, 6216/2821.
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 8448/856,6216/2821?
Given fractions are 8448/856,6216/2821
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 8448/856,6216/2821, numerators are 8448,6216
Denominators are 856,2821
The GCF of 8448,6216 is 24 .
LCM of 856,2821 is 2414776.
The greatest common factor of 8448/856,6216/2821 = [GCF of 8448,6216]/[LCM of 856,2821]= 24/2414776
Therefore, the GCF of 8448/856,6216/2821 is 24/2414776.
To find the highest common factor of 8448,6216, we have to find the factors of both numbers and list the highest common factor.
The factors of 8448 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 128, 132, 176, 192, 256, 264, 352, 384, 528, 704, 768, 1056, 1408, 2112, 2816, 4224, 8448
The factors of 6216 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 37, 42, 56, 74, 84, 111, 148, 168, 222, 259, 296, 444, 518, 777, 888, 1036, 1554, 2072, 3108, 6216
The HCF of 8448,6216 is 24.
Lets's calculate GCF of 8448,6216
| 2 | 8448, 6216 |
| 2 | 4224, 3108 |
| 2 | 2112, 1554 |
| 3 | 1056, 777 |
| 352, 259 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24
Greatest Common Factor of 8448,6216 By Matching Biggest Common Factor Method
Now, list down the factors of 8448
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,128,132,176,192,256,264,352,384,528,704,768,1056,1408,2112,2816,4224,8448
Now, list down the factors of 6216
:1,2,3,4,6,7,8,12,14,21,24,28,37,42,56,74,84,111,148,168,222,259,296,444,518,777,888,1036,1554,2072,3108,6216
Greatest Common Factor
We found the factors 8448,6216 . The biggest common factor number is the GCF number.
So the greatest common factor 8448,6216 is 24.
Lets's calculate LCM of 856,2821
Given numbers has no common factors except 1. So, there LCM is their product i.e 2414776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/2414776
Therefore, the GCF of Fractions 8448/856,6216/2821 is 24/2414776
Least Common Multiple of 856,2821 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 856,2821 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,2821) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(856,2821) x common factors =1 x 1 = 1
LCM(856,2821) = ( 856 × 2821 ) / 1
LCM(856,2821) = 2414776 / 1
LCM(856,2821) = 2414776
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FAQs on GCF of Fractions of 8448/856, 6216/2821
1. What is the HCF of 8448,6216?
The HCF of 8448,6216 is 24
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 8448/856, 6216/2821?
Answer: GCF of Numerators as per given numbers 8448/856, 6216/2821 is
GCF of Numerators i.e. for 8448,6216 is 24
LCM of denominators i.e. for 856,2821 is 2414776.
Thus, GCF of Fractions is 24/2414776.Finally, GCF of Fractions for 8448/856, 6216/2821 is 24/2414776.