GCF of 6849/764, 7305/9292
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6849/764, 7305/9292 i.e 3/1774772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6849/764, 7305/9292.
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 6849/764,7305/9292?
Given fractions are 6849/764,7305/9292
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 6849/764,7305/9292, numerators are 6849,7305
Denominators are 764,9292
The GCF of 6849,7305 is 3 .
LCM of 764,9292 is 1774772.
The greatest common factor of 6849/764,7305/9292 = [GCF of 6849,7305]/[LCM of 764,9292]= 3/1774772
Therefore, the GCF of 6849/764,7305/9292 is 3/1774772.
To find the highest common factor of 6849,7305, we have to find the factors of both numbers and list the highest common factor.
The factors of 6849 are 1, 3, 9, 761, 2283, 6849
The factors of 7305 are 1, 3, 5, 15, 487, 1461, 2435, 7305
The HCF of 6849,7305 is 3.
Lets's calculate GCF of 6849,7305
| 3 | 6849, 7305 |
| 2283, 2435 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6849,7305 By Matching Biggest Common Factor Method
Now, list down the factors of 6849
:1,3,9,761,2283,6849
Now, list down the factors of 7305
:1,3,5,15,487,1461,2435,7305
Greatest Common Factor
We found the factors 6849,7305 . The biggest common factor number is the GCF number.
So the greatest common factor 6849,7305 is 3.
Lets's calculate LCM of 764,9292
| 2 | 764, 9292 |
| 2 | 382, 4646 |
| 191, 2323 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 2323 = 1774772
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1774772
Therefore, the GCF of Fractions 6849/764,7305/9292 is 3/1774772
Least Common Multiple of 764,9292 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 764,9292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,9292) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,9292) x common factors =4 x 1 = 4
LCM(764,9292) = ( 764 × 9292 ) / 4
LCM(764,9292) = 7099088 / 4
LCM(764,9292) = 1774772
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FAQs on GCF of Fractions of 6849/764, 7305/9292
1. What is the HCF of 6849,7305?
The HCF of 6849,7305 is 3
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 6849/764, 7305/9292?
Answer: GCF of Numerators as per given numbers 6849/764, 7305/9292 is
GCF of Numerators i.e. for 6849,7305 is 3
LCM of denominators i.e. for 764,9292 is 1774772.
Thus, GCF of Fractions is 3/1774772.Finally, GCF of Fractions for 6849/764, 7305/9292 is 3/1774772.