GCF of 6406/307, 6170/6786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6406/307, 6170/6786 i.e 2/2083302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6406/307, 6170/6786.
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 6406/307,6170/6786?
Given fractions are 6406/307,6170/6786
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 6406/307,6170/6786, numerators are 6406,6170
Denominators are 307,6786
The GCF of 6406,6170 is 2 .
LCM of 307,6786 is 2083302.
The greatest common factor of 6406/307,6170/6786 = [GCF of 6406,6170]/[LCM of 307,6786]= 2/2083302
Therefore, the GCF of 6406/307,6170/6786 is 2/2083302.
To find the highest common factor of 6406,6170, we have to find the factors of both numbers and list the highest common factor.
The factors of 6406 are 1, 2, 3203, 6406
The factors of 6170 are 1, 2, 5, 10, 617, 1234, 3085, 6170
The HCF of 6406,6170 is 2.
Lets's calculate GCF of 6406,6170
| 2 | 6406, 6170 |
| 3203, 3085 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 6406,6170 By Matching Biggest Common Factor Method
Now, list down the factors of 6406
:1,2,3203,6406
Now, list down the factors of 6170
:1,2,5,10,617,1234,3085,6170
Greatest Common Factor
We found the factors 6406,6170 . The biggest common factor number is the GCF number.
So the greatest common factor 6406,6170 is 2.
Lets's calculate LCM of 307,6786
Given numbers has no common factors except 1. So, there LCM is their product i.e 2083302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2083302
Therefore, the GCF of Fractions 6406/307,6170/6786 is 2/2083302
Least Common Multiple of 307,6786 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 307,6786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(307,6786) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(307,6786) x common factors =1 x 1 = 1
LCM(307,6786) = ( 307 × 6786 ) / 1
LCM(307,6786) = 2083302 / 1
LCM(307,6786) = 2083302
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FAQs on GCF of Fractions of 6406/307, 6170/6786
1. What is the HCF of 6406,6170?
The HCF of 6406,6170 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 6406/307, 6170/6786?
Answer: GCF of Numerators as per given numbers 6406/307, 6170/6786 is
GCF of Numerators i.e. for 6406,6170 is 2
LCM of denominators i.e. for 307,6786 is 2083302.
Thus, GCF of Fractions is 2/2083302.Finally, GCF of Fractions for 6406/307, 6170/6786 is 2/2083302.