GCF of 2394/699, 6416/8499
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2394/699, 6416/8499 i.e 2/1980267 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2394/699, 6416/8499.
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 2394/699,6416/8499?
Given fractions are 2394/699,6416/8499
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 2394/699,6416/8499, numerators are 2394,6416
Denominators are 699,8499
The GCF of 2394,6416 is 2 .
LCM of 699,8499 is 1980267.
The greatest common factor of 2394/699,6416/8499 = [GCF of 2394,6416]/[LCM of 699,8499]= 2/1980267
Therefore, the GCF of 2394/699,6416/8499 is 2/1980267.
To find the highest common factor of 2394,6416, we have to find the factors of both numbers and list the highest common factor.
The factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394
The factors of 6416 are 1, 2, 4, 8, 16, 401, 802, 1604, 3208, 6416
The HCF of 2394,6416 is 2.
Lets's calculate GCF of 2394,6416
| 2 | 2394, 6416 |
| 1197, 3208 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2394,6416 By Matching Biggest Common Factor Method
Now, list down the factors of 2394
:1,2,3,6,7,9,14,18,19,21,38,42,57,63,114,126,133,171,266,342,399,798,1197,2394
Now, list down the factors of 6416
:1,2,4,8,16,401,802,1604,3208,6416
Greatest Common Factor
We found the factors 2394,6416 . The biggest common factor number is the GCF number.
So the greatest common factor 2394,6416 is 2.
Lets's calculate LCM of 699,8499
| 3 | 699, 8499 |
| 233, 2833 |
∴ So the LCM of the given numbers is 3 x 233 x 2833 = 1980267
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1980267
Therefore, the GCF of Fractions 2394/699,6416/8499 is 2/1980267
Least Common Multiple of 699,8499 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 699,8499 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,8499) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(699,8499) x common factors =3 x 1 = 3
LCM(699,8499) = ( 699 × 8499 ) / 3
LCM(699,8499) = 5940801 / 3
LCM(699,8499) = 1980267
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FAQs on GCF of Fractions of 2394/699, 6416/8499
1. What is the HCF of 2394,6416?
The HCF of 2394,6416 is 2
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 2394/699, 6416/8499?
Answer: GCF of Numerators as per given numbers 2394/699, 6416/8499 is
GCF of Numerators i.e. for 2394,6416 is 2
LCM of denominators i.e. for 699,8499 is 1980267.
Thus, GCF of Fractions is 2/1980267.Finally, GCF of Fractions for 2394/699, 6416/8499 is 2/1980267.