GCF of 2469/628, 6807/9758
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2469/628, 6807/9758 i.e 3/3064012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2469/628, 6807/9758.
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 2469/628,6807/9758?
Given fractions are 2469/628,6807/9758
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 2469/628,6807/9758, numerators are 2469,6807
Denominators are 628,9758
The GCF of 2469,6807 is 3 .
LCM of 628,9758 is 3064012.
The greatest common factor of 2469/628,6807/9758 = [GCF of 2469,6807]/[LCM of 628,9758]= 3/3064012
Therefore, the GCF of 2469/628,6807/9758 is 3/3064012.
To find the highest common factor of 2469,6807, we have to find the factors of both numbers and list the highest common factor.
The factors of 2469 are 1, 3, 823, 2469
The factors of 6807 are 1, 3, 2269, 6807
The HCF of 2469,6807 is 3.
Lets's calculate GCF of 2469,6807
| 3 | 2469, 6807 |
| 823, 2269 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2469,6807 By Matching Biggest Common Factor Method
Now, list down the factors of 2469
:1,3,823,2469
Now, list down the factors of 6807
:1,3,2269,6807
Greatest Common Factor
We found the factors 2469,6807 . The biggest common factor number is the GCF number.
So the greatest common factor 2469,6807 is 3.
Lets's calculate LCM of 628,9758
| 2 | 628, 9758 |
| 314, 4879 |
∴ So the LCM of the given numbers is 2 x 314 x 4879 = 3064012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/3064012
Therefore, the GCF of Fractions 2469/628,6807/9758 is 3/3064012
Least Common Multiple of 628,9758 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 628,9758 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(628,9758) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(628,9758) x common factors =2 x 1 = 2
LCM(628,9758) = ( 628 × 9758 ) / 2
LCM(628,9758) = 6128024 / 2
LCM(628,9758) = 3064012
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FAQs on GCF of Fractions of 2469/628, 6807/9758
1. What is the HCF of 2469,6807?
The HCF of 2469,6807 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 2469/628, 6807/9758?
Answer: GCF of Numerators as per given numbers 2469/628, 6807/9758 is
GCF of Numerators i.e. for 2469,6807 is 3
LCM of denominators i.e. for 628,9758 is 3064012.
Thus, GCF of Fractions is 3/3064012.Finally, GCF of Fractions for 2469/628, 6807/9758 is 3/3064012.