GCF of 4218/817, 6404/8293
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4218/817, 6404/8293 i.e 2/6775381 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4218/817, 6404/8293.
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 4218/817,6404/8293?
Given fractions are 4218/817,6404/8293
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 4218/817,6404/8293, numerators are 4218,6404
Denominators are 817,8293
The GCF of 4218,6404 is 2 .
LCM of 817,8293 is 6775381.
The greatest common factor of 4218/817,6404/8293 = [GCF of 4218,6404]/[LCM of 817,8293]= 2/6775381
Therefore, the GCF of 4218/817,6404/8293 is 2/6775381.
To find the highest common factor of 4218,6404, we have to find the factors of both numbers and list the highest common factor.
The factors of 4218 are 1, 2, 3, 6, 19, 37, 38, 57, 74, 111, 114, 222, 703, 1406, 2109, 4218
The factors of 6404 are 1, 2, 4, 1601, 3202, 6404
The HCF of 4218,6404 is 2.
Lets's calculate GCF of 4218,6404
| 2 | 4218, 6404 |
| 2109, 3202 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4218,6404 By Matching Biggest Common Factor Method
Now, list down the factors of 4218
:1,2,3,6,19,37,38,57,74,111,114,222,703,1406,2109,4218
Now, list down the factors of 6404
:1,2,4,1601,3202,6404
Greatest Common Factor
We found the factors 4218,6404 . The biggest common factor number is the GCF number.
So the greatest common factor 4218,6404 is 2.
Lets's calculate LCM of 817,8293
Given numbers has no common factors except 1. So, there LCM is their product i.e 6775381
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6775381
Therefore, the GCF of Fractions 4218/817,6404/8293 is 2/6775381
Least Common Multiple of 817,8293 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 817,8293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,8293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,8293) x common factors =1 x 1 = 1
LCM(817,8293) = ( 817 × 8293 ) / 1
LCM(817,8293) = 6775381 / 1
LCM(817,8293) = 6775381
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FAQs on GCF of Fractions of 4218/817, 6404/8293
1. What is the HCF of 4218,6404?
The HCF of 4218,6404 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 4218/817, 6404/8293?
Answer: GCF of Numerators as per given numbers 4218/817, 6404/8293 is
GCF of Numerators i.e. for 4218,6404 is 2
LCM of denominators i.e. for 817,8293 is 6775381.
Thus, GCF of Fractions is 2/6775381.Finally, GCF of Fractions for 4218/817, 6404/8293 is 2/6775381.