GCF of 6848/621, 8256/620
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6848/621, 8256/620 i.e 64/385020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6848/621, 8256/620.
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 6848/621,8256/620?
Given fractions are 6848/621,8256/620
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 6848/621,8256/620, numerators are 6848,8256
Denominators are 621,620
The GCF of 6848,8256 is 64 .
LCM of 621,620 is 385020.
The greatest common factor of 6848/621,8256/620 = [GCF of 6848,8256]/[LCM of 621,620]= 64/385020
Therefore, the GCF of 6848/621,8256/620 is 64/385020.
To find the highest common factor of 6848,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 6848,8256 is 64.
Lets's calculate GCF of 6848,8256
| 2 | 6848, 8256 |
| 2 | 3424, 4128 |
| 2 | 1712, 2064 |
| 2 | 856, 1032 |
| 2 | 428, 516 |
| 2 | 214, 258 |
| 107, 129 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 = 64
Greatest Common Factor of 6848,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 6848
:1,2,4,8,16,32,64,107,214,428,856,1712,3424,6848
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 6848,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 6848,8256 is 64.
Lets's calculate LCM of 621,620
Given numbers has no common factors except 1. So, there LCM is their product i.e 385020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 64/385020
Therefore, the GCF of Fractions 6848/621,8256/620 is 64/385020
Least Common Multiple of 621,620 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 621,620 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(621,620) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(621,620) x common factors =1 x 1 = 1
LCM(621,620) = ( 621 × 620 ) / 1
LCM(621,620) = 385020 / 1
LCM(621,620) = 385020
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FAQs on GCF of Fractions of 6848/621, 8256/620
1. What is the HCF of 6848,8256?
The HCF of 6848,8256 is 64
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 6848/621, 8256/620?
Answer: GCF of Numerators as per given numbers 6848/621, 8256/620 is
GCF of Numerators i.e. for 6848,8256 is 64
LCM of denominators i.e. for 621,620 is 385020.
Thus, GCF of Fractions is 64/385020.Finally, GCF of Fractions for 6848/621, 8256/620 is 64/385020.