GCF of 6318/400, 5438/3862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6318/400, 5438/3862 i.e 2/772400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6318/400, 5438/3862.
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 6318/400,5438/3862?
Given fractions are 6318/400,5438/3862
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 6318/400,5438/3862, numerators are 6318,5438
Denominators are 400,3862
The GCF of 6318,5438 is 2 .
LCM of 400,3862 is 772400.
The greatest common factor of 6318/400,5438/3862 = [GCF of 6318,5438]/[LCM of 400,3862]= 2/772400
Therefore, the GCF of 6318/400,5438/3862 is 2/772400.
To find the highest common factor of 6318,5438, we have to find the factors of both numbers and list the highest common factor.
The factors of 6318 are 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 81, 117, 162, 234, 243, 351, 486, 702, 1053, 2106, 3159, 6318
The factors of 5438 are 1, 2, 2719, 5438
The HCF of 6318,5438 is 2.
Lets's calculate GCF of 6318,5438
| 2 | 6318, 5438 |
| 3159, 2719 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6318,5438 By Matching Biggest Common Factor Method
Now, list down the factors of 6318
:1,2,3,6,9,13,18,26,27,39,54,78,81,117,162,234,243,351,486,702,1053,2106,3159,6318
Now, list down the factors of 5438
:1,2,2719,5438
Greatest Common Factor
We found the factors 6318,5438 . The biggest common factor number is the GCF number.
So the greatest common factor 6318,5438 is 2.
Lets's calculate LCM of 400,3862
| 2 | 400, 3862 |
| 200, 1931 |
∴ So the LCM of the given numbers is 2 x 200 x 1931 = 772400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/772400
Therefore, the GCF of Fractions 6318/400,5438/3862 is 2/772400
Least Common Multiple of 400,3862 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 400,3862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,3862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(400,3862) x common factors =2 x 1 = 2
LCM(400,3862) = ( 400 × 3862 ) / 2
LCM(400,3862) = 1544800 / 2
LCM(400,3862) = 772400
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FAQs on GCF of Fractions of 6318/400, 5438/3862
1. What is the HCF of 6318,5438?
The HCF of 6318,5438 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 6318/400, 5438/3862?
Answer: GCF of Numerators as per given numbers 6318/400, 5438/3862 is
GCF of Numerators i.e. for 6318,5438 is 2
LCM of denominators i.e. for 400,3862 is 772400.
Thus, GCF of Fractions is 2/772400.Finally, GCF of Fractions for 6318/400, 5438/3862 is 2/772400.