GCF of 6444/205, 7346/412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6444/205, 7346/412 i.e 2/84460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6444/205, 7346/412.
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 6444/205,7346/412?
Given fractions are 6444/205,7346/412
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 6444/205,7346/412, numerators are 6444,7346
Denominators are 205,412
The GCF of 6444,7346 is 2 .
LCM of 205,412 is 84460.
The greatest common factor of 6444/205,7346/412 = [GCF of 6444,7346]/[LCM of 205,412]= 2/84460
Therefore, the GCF of 6444/205,7346/412 is 2/84460.
To find the highest common factor of 6444,7346, we have to find the factors of both numbers and list the highest common factor.
The factors of 6444 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 179, 358, 537, 716, 1074, 1611, 2148, 3222, 6444
The factors of 7346 are 1, 2, 3673, 7346
The HCF of 6444,7346 is 2.
Lets's calculate GCF of 6444,7346
| 2 | 6444, 7346 |
| 3222, 3673 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6444,7346 By Matching Biggest Common Factor Method
Now, list down the factors of 6444
:1,2,3,4,6,9,12,18,36,179,358,537,716,1074,1611,2148,3222,6444
Now, list down the factors of 7346
:1,2,3673,7346
Greatest Common Factor
We found the factors 6444,7346 . The biggest common factor number is the GCF number.
So the greatest common factor 6444,7346 is 2.
Lets's calculate LCM of 205,412
Given numbers has no common factors except 1. So, there LCM is their product i.e 84460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/84460
Therefore, the GCF of Fractions 6444/205,7346/412 is 2/84460
Least Common Multiple of 205,412 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 205,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(205,412) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(205,412) x common factors =1 x 1 = 1
LCM(205,412) = ( 205 × 412 ) / 1
LCM(205,412) = 84460 / 1
LCM(205,412) = 84460
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FAQs on GCF of Fractions of 6444/205, 7346/412
1. What is the HCF of 6444,7346?
The HCF of 6444,7346 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 6444/205, 7346/412?
Answer: GCF of Numerators as per given numbers 6444/205, 7346/412 is
GCF of Numerators i.e. for 6444,7346 is 2
LCM of denominators i.e. for 205,412 is 84460.
Thus, GCF of Fractions is 2/84460.Finally, GCF of Fractions for 6444/205, 7346/412 is 2/84460.