GCF of 6969/384, 2994/5970
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6969/384, 2994/5970 i.e 3/382080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6969/384, 2994/5970.
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 6969/384,2994/5970?
Given fractions are 6969/384,2994/5970
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 6969/384,2994/5970, numerators are 6969,2994
Denominators are 384,5970
The GCF of 6969,2994 is 3 .
LCM of 384,5970 is 382080.
The greatest common factor of 6969/384,2994/5970 = [GCF of 6969,2994]/[LCM of 384,5970]= 3/382080
Therefore, the GCF of 6969/384,2994/5970 is 3/382080.
To find the highest common factor of 6969,2994, we have to find the factors of both numbers and list the highest common factor.
The factors of 6969 are 1, 3, 23, 69, 101, 303, 2323, 6969
The factors of 2994 are 1, 2, 3, 6, 499, 998, 1497, 2994
The HCF of 6969,2994 is 3.
Lets's calculate GCF of 6969,2994
| 3 | 6969, 2994 |
| 2323, 998 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6969,2994 By Matching Biggest Common Factor Method
Now, list down the factors of 6969
:1,3,23,69,101,303,2323,6969
Now, list down the factors of 2994
:1,2,3,6,499,998,1497,2994
Greatest Common Factor
We found the factors 6969,2994 . The biggest common factor number is the GCF number.
So the greatest common factor 6969,2994 is 3.
Lets's calculate LCM of 384,5970
| 2 | 384, 5970 |
| 3 | 192, 2985 |
| 64, 995 |
∴ So the LCM of the given numbers is 2 x 3 x 64 x 995 = 382080
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/382080
Therefore, the GCF of Fractions 6969/384,2994/5970 is 3/382080
Least Common Multiple of 384,5970 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 384,5970 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(384,5970) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(384,5970) x common factors =6 x 1 = 6
LCM(384,5970) = ( 384 × 5970 ) / 6
LCM(384,5970) = 2292480 / 6
LCM(384,5970) = 382080
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FAQs on GCF of Fractions of 6969/384, 2994/5970
1. What is the HCF of 6969,2994?
The HCF of 6969,2994 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 6969/384, 2994/5970?
Answer: GCF of Numerators as per given numbers 6969/384, 2994/5970 is
GCF of Numerators i.e. for 6969,2994 is 3
LCM of denominators i.e. for 384,5970 is 382080.
Thus, GCF of Fractions is 3/382080.Finally, GCF of Fractions for 6969/384, 2994/5970 is 3/382080.