GCF of 6824/370, 8052/2285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6824/370, 8052/2285 i.e 4/169090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6824/370, 8052/2285.
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 6824/370,8052/2285?
Given fractions are 6824/370,8052/2285
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 6824/370,8052/2285, numerators are 6824,8052
Denominators are 370,2285
The GCF of 6824,8052 is 4 .
LCM of 370,2285 is 169090.
The greatest common factor of 6824/370,8052/2285 = [GCF of 6824,8052]/[LCM of 370,2285]= 4/169090
Therefore, the GCF of 6824/370,8052/2285 is 4/169090.
To find the highest common factor of 6824,8052, we have to find the factors of both numbers and list the highest common factor.
The factors of 6824 are 1, 2, 4, 8, 853, 1706, 3412, 6824
The factors of 8052 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052
The HCF of 6824,8052 is 4.
Lets's calculate GCF of 6824,8052
| 2 | 6824, 8052 |
| 2 | 3412, 4026 |
| 1706, 2013 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 6824,8052 By Matching Biggest Common Factor Method
Now, list down the factors of 6824
:1,2,4,8,853,1706,3412,6824
Now, list down the factors of 8052
:1,2,3,4,6,11,12,22,33,44,61,66,122,132,183,244,366,671,732,1342,2013,2684,4026,8052
Greatest Common Factor
We found the factors 6824,8052 . The biggest common factor number is the GCF number.
So the greatest common factor 6824,8052 is 4.
Lets's calculate LCM of 370,2285
| 5 | 370, 2285 |
| 74, 457 |
∴ So the LCM of the given numbers is 5 x 74 x 457 = 169090
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/169090
Therefore, the GCF of Fractions 6824/370,8052/2285 is 4/169090
Least Common Multiple of 370,2285 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 370,2285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,2285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(370,2285) x common factors =5 x 1 = 5
LCM(370,2285) = ( 370 × 2285 ) / 5
LCM(370,2285) = 845450 / 5
LCM(370,2285) = 169090
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FAQs on GCF of Fractions of 6824/370, 8052/2285
1. What is the HCF of 6824,8052?
The HCF of 6824,8052 is 4
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 6824/370, 8052/2285?
Answer: GCF of Numerators as per given numbers 6824/370, 8052/2285 is
GCF of Numerators i.e. for 6824,8052 is 4
LCM of denominators i.e. for 370,2285 is 169090.
Thus, GCF of Fractions is 4/169090.Finally, GCF of Fractions for 6824/370, 8052/2285 is 4/169090.