GCF of 6369/214, 1836/1431
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6369/214, 1836/1431 i.e 3/306234 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6369/214, 1836/1431.
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 6369/214,1836/1431?
Given fractions are 6369/214,1836/1431
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 6369/214,1836/1431, numerators are 6369,1836
Denominators are 214,1431
The GCF of 6369,1836 is 3 .
LCM of 214,1431 is 306234.
The greatest common factor of 6369/214,1836/1431 = [GCF of 6369,1836]/[LCM of 214,1431]= 3/306234
Therefore, the GCF of 6369/214,1836/1431 is 3/306234.
To find the highest common factor of 6369,1836, we have to find the factors of both numbers and list the highest common factor.
The factors of 6369 are 1, 3, 11, 33, 193, 579, 2123, 6369
The factors of 1836 are 1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 102, 108, 153, 204, 306, 459, 612, 918, 1836
The HCF of 6369,1836 is 3.
Lets's calculate GCF of 6369,1836
| 3 | 6369, 1836 |
| 2123, 612 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6369,1836 By Matching Biggest Common Factor Method
Now, list down the factors of 6369
:1,3,11,33,193,579,2123,6369
Now, list down the factors of 1836
:1,2,3,4,6,9,12,17,18,27,34,36,51,54,68,102,108,153,204,306,459,612,918,1836
Greatest Common Factor
We found the factors 6369,1836 . The biggest common factor number is the GCF number.
So the greatest common factor 6369,1836 is 3.
Lets's calculate LCM of 214,1431
Given numbers has no common factors except 1. So, there LCM is their product i.e 306234
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/306234
Therefore, the GCF of Fractions 6369/214,1836/1431 is 3/306234
Least Common Multiple of 214,1431 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 214,1431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,1431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,1431) x common factors =1 x 1 = 1
LCM(214,1431) = ( 214 × 1431 ) / 1
LCM(214,1431) = 306234 / 1
LCM(214,1431) = 306234
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FAQs on GCF of Fractions of 6369/214, 1836/1431
1. What is the HCF of 6369,1836?
The HCF of 6369,1836 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 6369/214, 1836/1431?
Answer: GCF of Numerators as per given numbers 6369/214, 1836/1431 is
GCF of Numerators i.e. for 6369,1836 is 3
LCM of denominators i.e. for 214,1431 is 306234.
Thus, GCF of Fractions is 3/306234.Finally, GCF of Fractions for 6369/214, 1836/1431 is 3/306234.