GCF of 6345/407, 2344/706
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6345/407, 2344/706 i.e 1/287342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6345/407, 2344/706.
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 6345/407,2344/706?
Given fractions are 6345/407,2344/706
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 6345/407,2344/706, numerators are 6345,2344
Denominators are 407,706
The GCF of 6345,2344 is 1 .
LCM of 407,706 is 287342.
The greatest common factor of 6345/407,2344/706 = [GCF of 6345,2344]/[LCM of 407,706]= 1/287342
Therefore, the GCF of 6345/407,2344/706 is 1/287342.
To find the highest common factor of 6345,2344, we have to find the factors of both numbers and list the highest common factor.
The factors of 6345 are 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, 6345
The factors of 2344 are 1, 2, 4, 8, 293, 586, 1172, 2344
The HCF of 6345,2344 is 1.
Lets's calculate GCF of 6345,2344
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6345,2344 By Matching Biggest Common Factor Method
Now, list down the factors of 6345
:1,3,5,9,15,27,45,47,135,141,235,423,705,1269,2115,6345
Now, list down the factors of 2344
:1,2,4,8,293,586,1172,2344
Greatest Common Factor
We found the factors 6345,2344 . The biggest common factor number is the GCF number.
So the greatest common factor 6345,2344 is 1.
Lets's calculate LCM of 407,706
Given numbers has no common factors except 1. So, there LCM is their product i.e 287342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/287342
Therefore, the GCF of Fractions 6345/407,2344/706 is 1/287342
Least Common Multiple of 407,706 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 407,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,706) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,706) x common factors =1 x 1 = 1
LCM(407,706) = ( 407 × 706 ) / 1
LCM(407,706) = 287342 / 1
LCM(407,706) = 287342
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FAQs on GCF of Fractions of 6345/407, 2344/706
1. What is the HCF of 6345,2344?
The HCF of 6345,2344 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 6345/407, 2344/706?
Answer: GCF of Numerators as per given numbers 6345/407, 2344/706 is
GCF of Numerators i.e. for 6345,2344 is 1
LCM of denominators i.e. for 407,706 is 287342.
Thus, GCF of Fractions is 1/287342.Finally, GCF of Fractions for 6345/407, 2344/706 is 1/287342.