GCF of 2399/287, 6426/8174
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2399/287, 6426/8174 i.e 1/2345938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2399/287, 6426/8174.
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 2399/287,6426/8174?
Given fractions are 2399/287,6426/8174
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 2399/287,6426/8174, numerators are 2399,6426
Denominators are 287,8174
The GCF of 2399,6426 is 1 .
LCM of 287,8174 is 2345938.
The greatest common factor of 2399/287,6426/8174 = [GCF of 2399,6426]/[LCM of 287,8174]= 1/2345938
Therefore, the GCF of 2399/287,6426/8174 is 1/2345938.
To find the highest common factor of 2399,6426, we have to find the factors of both numbers and list the highest common factor.
The factors of 2399 are 1, 2399
The factors of 6426 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 34, 42, 51, 54, 63, 102, 119, 126, 153, 189, 238, 306, 357, 378, 459, 714, 918, 1071, 2142, 3213, 6426
The HCF of 2399,6426 is 1.
Lets's calculate GCF of 2399,6426
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2399,6426 By Matching Biggest Common Factor Method
Now, list down the factors of 2399
:1,2399
Now, list down the factors of 6426
:1,2,3,6,7,9,14,17,18,21,27,34,42,51,54,63,102,119,126,153,189,238,306,357,378,459,714,918,1071,2142,3213,6426
Greatest Common Factor
We found the factors 2399,6426 . The biggest common factor number is the GCF number.
So the greatest common factor 2399,6426 is 1.
Lets's calculate LCM of 287,8174
Given numbers has no common factors except 1. So, there LCM is their product i.e 2345938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2345938
Therefore, the GCF of Fractions 2399/287,6426/8174 is 1/2345938
Least Common Multiple of 287,8174 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 287,8174 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,8174) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(287,8174) x common factors =1 x 1 = 1
LCM(287,8174) = ( 287 × 8174 ) / 1
LCM(287,8174) = 2345938 / 1
LCM(287,8174) = 2345938
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FAQs on GCF of Fractions of 2399/287, 6426/8174
1. What is the HCF of 2399,6426?
The HCF of 2399,6426 is 1
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 2399/287, 6426/8174?
Answer: GCF of Numerators as per given numbers 2399/287, 6426/8174 is
GCF of Numerators i.e. for 2399,6426 is 1
LCM of denominators i.e. for 287,8174 is 2345938.
Thus, GCF of Fractions is 1/2345938.Finally, GCF of Fractions for 2399/287, 6426/8174 is 1/2345938.