GCF of 6252/846, 6900/9243
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6252/846, 6900/9243 i.e 12/868842 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6252/846, 6900/9243.
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 6252/846,6900/9243?
Given fractions are 6252/846,6900/9243
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 6252/846,6900/9243, numerators are 6252,6900
Denominators are 846,9243
The GCF of 6252,6900 is 12 .
LCM of 846,9243 is 868842.
The greatest common factor of 6252/846,6900/9243 = [GCF of 6252,6900]/[LCM of 846,9243]= 12/868842
Therefore, the GCF of 6252/846,6900/9243 is 12/868842.
To find the highest common factor of 6252,6900, we have to find the factors of both numbers and list the highest common factor.
The factors of 6252 are 1, 2, 3, 4, 6, 12, 521, 1042, 1563, 2084, 3126, 6252
The factors of 6900 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 25, 30, 46, 50, 60, 69, 75, 92, 100, 115, 138, 150, 230, 276, 300, 345, 460, 575, 690, 1150, 1380, 1725, 2300, 3450, 6900
The HCF of 6252,6900 is 12.
Lets's calculate GCF of 6252,6900
| 2 | 6252, 6900 |
| 2 | 3126, 3450 |
| 3 | 1563, 1725 |
| 521, 575 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 6252,6900 By Matching Biggest Common Factor Method
Now, list down the factors of 6252
:1,2,3,4,6,12,521,1042,1563,2084,3126,6252
Now, list down the factors of 6900
:1,2,3,4,5,6,10,12,15,20,23,25,30,46,50,60,69,75,92,100,115,138,150,230,276,300,345,460,575,690,1150,1380,1725,2300,3450,6900
Greatest Common Factor
We found the factors 6252,6900 . The biggest common factor number is the GCF number.
So the greatest common factor 6252,6900 is 12.
Lets's calculate LCM of 846,9243
| 3 | 846, 9243 |
| 3 | 282, 3081 |
| 94, 1027 |
∴ So the LCM of the given numbers is 3 x 3 x 94 x 1027 = 868842
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/868842
Therefore, the GCF of Fractions 6252/846,6900/9243 is 12/868842
Least Common Multiple of 846,9243 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 846,9243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,9243) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(846,9243) x common factors =9 x 1 = 9
LCM(846,9243) = ( 846 × 9243 ) / 9
LCM(846,9243) = 7819578 / 9
LCM(846,9243) = 868842
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FAQs on GCF of Fractions of 6252/846, 6900/9243
1. What is the HCF of 6252,6900?
The HCF of 6252,6900 is 12
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 6252/846, 6900/9243?
Answer: GCF of Numerators as per given numbers 6252/846, 6900/9243 is
GCF of Numerators i.e. for 6252,6900 is 12
LCM of denominators i.e. for 846,9243 is 868842.
Thus, GCF of Fractions is 12/868842.Finally, GCF of Fractions for 6252/846, 6900/9243 is 12/868842.